Chapter 32: Reality and the Mathematics of the Social Sciences

Chapter 32: Reality and the Mathematics of the Social Sciences

 

‘Existence’ and ‘reality’ are two subjects that have fascinated people for thousands of years. If you ask the person in the street about those two words, they invariably say that ‘I am real therefore I must exist’ and that is the same as Descartes said in ‘I think, therefore I am’. Unfortunately, I believe this statement to be wrong and it should be ‘we evolved reality from the possibility of existence’. Two proofs are given at the end of the chapter and are quite simple, but they would only disturb the flow if presented here.

 

Whether we exist or not is a debate that doesn’t immediately concern us, but that we do NOT exist is the simplest answer, but we DO exist in probability of (existence) space. The question of reality should concern us because it can have very important ramifications because I believe that we evolved reality and so have an intimate relationship with it. It will be shown that there is a link between Reality, Survival of the Fittest and Survival of the Best that forms one ‘pillar’ or solution for the future that is put forward by this book. These three concepts (Reality, Survival of the Fittest and Survival of the Best) are the over-arching story of Mankind (including the future) and have often been mentioned in this book, but not brought together before, as they deserve.

 

Why has existence and reality been such a difficult problem to solve for thousands of years? I suggest that it is difficult to handle because it contains logic, time and life, which are not amenable to mathematics and formal logic. I am using the Mathematics of the Mind to investigate existence and especially reality because it deals with time dependent concepts relative to ourselves. It will be shown that reality is actually one of the family of Half-truths and it needs to be considered as a ‘set’: real, not real, real some of the time and not real the rest of the time and chaos or indeterminacy (real and not real at the same time).

 

Reality is basic to all organisms and also, between all organisms simply because ALL organisms have to be able to coexist in a reality situation, and that is heritable. The simplicity of this statement belies its importance. Similar to that which I said about entanglement of particles, I believe, not only between two particles, but EVERY particle is inter-linked logically through the Law of Conservation of Energy/mass.

 

If the reality was not complete, a predator could attack a prey without being seen/heard/felt etc. and that prey would be wiped out quickly as it would be a new untapped readily available food source, so, reality is a precursor to the conditions that operate under Survival of the Fittest. Before Survival of the Fittest has a chance to work, reality has to ‘clear the decks’ of those animals with incomplete realities and this purging brings the system to a steady state when Survival of the Fittest (in its accepted form) takes over. Notice that we have an immune system for the very small, that it is to the parasites’ advantage to not un-necessarily burden the host, fish that live within (isolated) caves are blind etc.

 

From chapter 12, starting with the generalized schematic of a bony fish (which is more evolved in that they have (from our point of view) control of buoyancy) shows two olfactory lobes connected to the two-lobed telencephalon (concerned mostly with olfaction) (these are the forebrain) then to the two optic lobes (the midbrain) to the single cerebellum (the hindbrain) and the brain stem. Sharks and catfish that hunt by smell have large olfactory lobes and trout, which hunt by sight have large optic lobes.(Wikipedia, Fish, Central nervous system)

 

It is apparent that the previous brain, prior to the one described in fish was a ‘single cerebellum (the hindbrain) and the brain stem’. The brainstem keeps the body functioning autonomously and the cerebellum is an enhancer of movement but we see a growth of a ‘new’ addition to the brain with evolution in fish and the higher animals. I believe that the basic processes are to be found in the hindbrain, but the growth of this new style of brain was probably due to increased ‘schooling’ of fish and inter-relationships between members for mating etc.

 

Books tend to say that we evolved life only once, and that is why ALL organisms are able to use other organisms for food, and this occurred because of the difficulty of starting life. In other words, it was so difficult to start Life that it only happened once, but there are many instances of extremophiles existing in extreme situations. Or, is it that a ‘product’ of reality has given us one (apparent) form of life that can (eventually) be eaten by all organisms?

 

Considering the number and varieties of extremophiles, this is strange! There are many ‘fringe’ extremophiles, but the mainstream apparently either occurred once, or reality decreed one mainstream organism that was edible to all. A quick ‘thought’ experiment suggests that logic dictates that everything should be recycled because otherwise, life would grind to a halt. Everything eats everything else, apart from toxins, which slows predation until seeds are set or the animal dies. In the same way that logic produces entanglement, does logic demand that everything eat every other creature? In effect, yes!

 

Let’s formalize this thinking. The Law of Conservation of Energy/Matter dictates that the sum of the energy of every particle in the universe must always be 1 and requires logic entanglement to do this. In the same way, the Law of Conservation of Resources (and resources are energy/matter) dictates that the sum of the resources of every organism in the universe is 1,which requires that resources must be recycled and be always available to life-forms. Where there are no resources locally, the organism dies. This indicates that life itself is a consequence of the Law of Conservation of Resources (or Mass/Energy) AND reality. This means that even if the organisms live completely separate lives, upon death, there have to exist organisms or some other method to return the chemicals to atoms for reuse.

 

I believe that mass and energy are two states of probability (and dark energy/dark matter might be another state) that produce our system. These two states move backwards and forwards (frictionlessly) between themselves and create the heavier elements in suns, eventually cause planets to form, continental drift recycles the continents through volcanoes. In fact, I can’t think of anything that is not recycled through suns or volcanoes. Why not use the phrase Conservation of Resources?

 

This is a serious question. The experimental fact of entanglement between two particles shows that logically, every particle in the universe must be linked together. If this logic did not apply, we would have ‘spooky’ action at a distance or in a volume. We know that every particle varies its energy as it moves through potential wells, so is there an over arching logic that does the accounting or is there a mechanistic accounting by each particle?

 

In formulating the three Laws of Life, I used the ‘logic machine’ componentization in the first Law and the second Law. An example of the concept, which is basic to life is, in the first Law, the atom, and in the second Law, the ability to breed. Neither of these examples could be called ‘simple’, and yet they exist in what I maintain is a universe that is a probability space with five dimensions, but one ‘dimension’ is not (currently) recognised, and that is logic. Is a logic ‘machine’ merely a ‘string’ of logic or a mixture?

 

This paragraph answers the question posed in the paragraph above that it MUST be logic doing the accounting, because measurement is a product of intelligence and affects the universe. Why would measurement affect quantum mechanics? Because our mind/brain uses logic (iteration is logic) and that interacts with the logic of the universe (entanglement).

 

Take as an example, the dinosaurs that were wiped out by a meteor 65 million years ago, though I have heard that some researchers think that the dinosaurs were under stress before that date. Our ancestors, the mammals comprised shrew-like insectivores living underground and hunting at night. Looking at the following quotation: ‘the corpus callosum is found only in placental mammals (the eutherians), while it is absent in monotremes and marsupials, as well as other vertebrates such as birds, reptiles, amphibians and fish (other groups do have other brain structures that allow for communication between the two hemispheres ….). (Wikipedia, Corpus callosum, Species differences)

 

The question is, how good was the reptile brain compared to the mammalian brain 65 million years ago. Could one of the mammals have conceived the idea of rolling away a dinosaur egg to eat it in safety and taught others to do similar? This example of an innovation could have had the same impact as the impact of a huge meteor or asteroid, in killing off the dinosaurs, so what is the difference between Survival of the Fittest and reality.

 

Survival of the Fittest describes evolution, but it is a ‘backwards looking’ indicator and explains after the action is completed. The tiny shrew-like mammals (could have) killed off the huge dinosaurs! Who would have anticipated it! The concept of reality is a forward-looking indicator and can be used as an attractor and become part of the computation in the Mathematics of the Mind and form the prediction. Is this important?

 

From above, the ‘three concepts (Reality, Survival of the Fittest and Survival of the Best) are the over-arching story of Mankind’ and humanity has been stuck in a ‘rut’ for the last nine thousand years since the advent of agriculture. Our genes change slowly, epigenetics faster, but not as fast as our society. This book is basically about anti ageing and bringing our food, exercise and state of mind to align with our genes and at the same time, carrying this into a logical future using Survival of the Best.

 

Survival of the Best is a prediction that will solve humanity’s problems by applying the Mathematics of the Mind, but a ‘backward looking’ indicator needs to be replaced by a ‘forward looking’ indicator and possibly reality might join Occam’s razor as an attractor that should always be kept in mind to influence specific solutions.

 

So, what have we done? Conservation of Energy/mass is the same as Conservation of Resources and there exists a logical entanglement of each particle in the universe to their potential energy. Reality is what we have created out of the possibility of existence. I believe that we used a probability space (of existence) that had 5 dimensions that allowed us to create our space-time reality and not realize that logic is the fifth dimension. The statement 1+1=2 is not space-time, it is a logic dimension (true) and the number of dimensions MUST include everything if it is to be complete. Reality has to be complete otherwise magic appears and that is apparent when we look at the very small (quantum mechanics) and the very large (relativity, existence) and find that they cannot be adequately described by space-time.

 

How can we solve humanity’s problems unless we use a mathematics of concepts and logic to plan ahead for the future and we will need concepts like Survival of the Best, and for that, we need a forward indicator, such as reality, instead of a backward indicator, such as Survival of the Fittest. The Mathematics of the Mind turns indeterminate patterns into awareness through the Logic of the Half-truth then into predictions, but, from above, that is what reality is doing! Reality is taking life and forming it into a composite that runs smoothly in the aggregate (as Survival of the Fittest) and when using the Mathematics of the Mind, reality produces a prediction.

 

So, it appears that our mind can influence the universe through logic and that logic operator is some mix of truth/existence/reality. I used the Half-truth in the Mathematics of the Mind for the parts of the book on fundamental physics, existence in the proof below and reality in this investigation. It isn’t a big step to realizing that this can be generalized to include any group that functions under Law and Order, and this indicates that the Mathematics of the Mind is suitable for the Social Sciences because they operate under natural laws and man-made laws. This is another way of determining, as asserted in chapter 2, that the Mathematics of the Mind IS a mathematics that is able to ‘handle’ the softer sciences.

 

I would like to state that I think that reality, in the light of the above, is a ‘co-existing’ with those around us. Not so much a predator/prey situation, but a ‘getting on with the neighbours’, which is basically the same. This is the basic problem of the world today –‘getting on with the neighbours’, that encompasses all of the family, the townspeople, countywide and internationally.

 

PROOF 1: Descartes was both right and wrong in stating that ‘I think,

therefore I am’, which makes his remark a half-truth, and perhaps he should have said, that ‘we evolved reality out of the possibility of existence’. That we evolved reality is simple (until we delve into it), but the ‘possibility of existence’ needs explaining.

 

Occam’s Razor states that the simplest explanation is probably the correct one and has been around for centuries. It is not logic because it is imprecise, but it has staying power and must be true to a certain extent. It is actually a solution in the style of the Mathematics of the Mind and is a half-truth and not precise, useful most of the time, but not to be relied upon but should form one pillar of a solution. In other words, ‘that

we do not exist’ is the simplest proposition, but we are real, as we know, but we are real in ‘the possibility of existence’! In other words, probability space! To simplify, existence is a half-truth (we may or may not exist), but the probability of existence is a truth because it is continuous and all-embracing.

 

The Multiverse has been suggested to hold the infinity of universes with all the different combination of ‘natural constants’, and it is considered that ours is one of them because all of the constants are ‘right’ for our existence (in probability space). Whilst this is un-provable, a moment’s reflection suggests that this is possible, and likely, because all of these universes are in probability space and do not exist! But, Life (on earth) has evolved a reality out of this probability space.

 

PROOF 2: Previously, it was derived that ‘we evolved reality from the probability of existence’ by using the Mathematics of the Mind. The derivation of the probability of existence, is strengthened by approaching it from another direction. The more directions from which something can be derived, the larger the number of predictions that can be made from it and the ‘better’ the theory.

 

Our universe is a closed system and we would consider that the Law of Conservation of Energy, would apply and indeed it probably does, but what is this law? ‘In physics, the law of conservation of energy states that the total energy in an isolated system cannot change – it is said to be conserved over time’. (Wikipedia, Conservation of energy) Also, it has one dimension, which is time. (Wikipedia, Conservation law)

 

It is strange that under this law, our universe would have one dimension (time) and this presumably reflects the logic that we cannot ‘see’ inside that universe and that it is, thus, indeterminate to us because any sampling would change the system (compare quantum mechanics). Current thinking is that our reality operates under space-time and we have to logically live in a ‘conserved’ universe, else it would run out of something eventually. So, where do we find a theoretical model for a conserved space that has the dimensions of space and time?

 

On the other hand, ‘in quantum mechanics, the probability current (sometimes called probability flux) is a mathematical quantity describing the flow of probability… It is a real vector’. (Wikipedia, Probability current) This isn’t very helpful, but shows that it is used and the dimensions of the Conservation of Probability are ‘total probability always = 1, in whole x, y, z space, during time evolution’ (Wikipedia, Conservation law, conservation of probability, number of dimensions)

 

This Conservation of Probability aligns with our universe in that we have ‘in whole x, y, z space, during time evolution’. Its not quite space-time because ‘time evolution’ is the same as the ‘time passing’ that I have used previously, and it is not an interval of time. Time interval is man-made, as is space interval in ‘whole x, y, z space’. I want to point out here that we have found a ‘complete’ mathematical ‘statement’, and our world appears to satisfy part of it, but I maintain that by Occam’s razor the simplest and most logical system will probably apply ‘best’, and that is the mathematical system, and is a Truth. So, how does our view of the universe (world O) compare with the mathematical form, and if it differs, why have we complicated things?

 

The ‘total probability always = 1’ aligns with Conservation of Energy, plus has the logic that every point in the space contributes to the sum and it must do so instantly to avoid local violations. So, every point is ‘entangled’ with every other point in the space constantly and instantly to provide a constant sum of energy. How can this be? The answer is, as we derived previously, what we call gravity, which affects EVERY particle-particle, particle-energy and energy-energy reaction in the universe according to the Law of Conservation of Energy because of a simple attraction that must exist for us to exist (out of the multiverse).

 

To logically satisfy the law, instantaneous accounting must be kept, and that is done automatically because there is only a constant amount of energy/matter, and photons and matter continually change their energy, as we have seen (Pound-Rebka experiment) to keep the total energy at 1 to satisfy the Law of Conservation of Energy.

 

So, gravity is the mechanism to provide a universe that we can live in, and that attraction of gravity (between matter, energy etc.) provides a source of energy which is part of the limit 1, Conservation of Energy sets the Conservation of Probability limit of 1, and a set limit of 1 requires instantaneous velocities to be attainable, so that the limit equals 1 at all times. This effect is ‘entanglement’.

 

Chapter 32: Reality and the Mathematics of the Social Sciences

Chapter 12: Why the Brain has Two Hemispheres

Chapter 11   Why the Brain has Two Hemispheres

 

This chapter is a good illustration of the Rule of Life, where fish start with a simple non-decisional feeding method and through evolution and an increasingly complex brain lead to human organization, but based on the same simple system and finally showing that a ‘fix’ has to be made in the higher animals without disturbing what has gone before.

 

‘The brain divides into two almost identical halves, so there are actually two of every brain organ (except for the pineal gland), one located in the left hemisphere and one in the right hemisphere. It is not understood why this is so. Perhaps each side serves as a backup for the other, or maybe the two halves are required for some sort of stereo sensory three-dimensional processing’. (Memory and Dreams, G. Christos p 19)

 

These conjectures are essentially correct, but form only part of the picture. The major player is evolution, over a very long time, as well as the particular requirements of fish leading through the land animals to humans. The best that we can do is to look at the animals on our path of evolution as represented by the individuals that are alive today.

 

The following time frames (from Wikipedia) indicate where the animals that have been cited are placed in our representation of evolution. Sharks first appeared in the Silurian, 420 million years ago, but modern sharks date from only 100 million years ago. The octopus first evolved 300 million years ago in the early Pennsylvanian and the dolphin returned to the water in the Miocene about 50 million years ago.

 

On our evolution, the cartilaginous sharks represent the first of the fishes and today they have to keep swimming to pass water over their gills to extract oxygen and to provide lift to prevent themselves sinking to the bottom. ‘Vertebrate animals – mammals, birds, reptiles, and at least some fishes – periodically enter a period of torpor characterized by a profound change in brain waves….. reports from all over the globe …. of sharks resting motionless in caves …. the eyes of these quiescent sharks do follow divers moving about in the caves with them.’ (ReefQuest Centre for Shark Research) It would appear that some level of consciousness remains as a defense measure.

 

These ancient fishes can be compared to the mammals which have ‘recently’ returned to the same environment. ‘Generally, dolphins sleep with only one brain hemisphere in slow-wave sleep at a time, thus maintaining enough consciousness to breathe and to watch for possible predators and other threats’. (Wikipedia, Dolphins, Sleeping) Surprisingly, here is parallel evolution that sees the twin lobes used to the same end! I am not suggesting that one half sleeps whilst one half is awake, but am suggesting a parallel adaptation to the environment. Land animals have privacy in the form of burrows, thick undergrowth, caves etc. in which to retreat and sleep, whilst little privacy is available in the sea and the animals residing there must keep some portion of the nervous system conscious at all times. This shows that all organisms must have the same ‘reality’ and evolve their own reality in order to survive. Animals sleep if they can, otherwise a portion of the brain must be ‘awake’.

 

Starting with the generalized schematic of a bony fish (which is more evolved in that they have (from our point of view) control of buoyancy) shows two olfactory lobes connected to the two-lobed telencephalon (concerned mostly with olfaction) (these are the forebrain) then to the two optic lobes (the midbrain) to the single cerebellum (the hindbrain) and the brain stem. Sharks and catfish that hunt by smell have large olfactory lobes and trout, which hunt by sight have large optic lobes.(Wikipedia, Fish, Central nervous system) Clearly, the use of these two senses define a ‘stereo sensory three-dimensional processing’, because the eyes are on the two sides of the fish. Notice that there is a single cerebellum and brain stem, which suggest that they are of very ancient origin, and the twin nostrils and eyes are decision-making adaptions.

 

However, fish are streamlined for moving through the water with their body presenting a maximum outline to the side and minimum from above and below. Presumably this shape is the most efficient for turning and propulsion, because the tail moves from side to side. Thus the eyes are on the left and right sides of the fish. Over the vast time of evolution and the vast number of animals contributing to survival of the fittest there is great pressure to increase the complexity of biochemical reactions to attain goals, whilst there is great pressure to reduce unnecessary physical parts, if the same result can be attained another way, bearing in mind that it is necessary to build upon something that already exists. This statement I have called the Rule of Life.

 

‘Most fish possess highly developed sense organs. Nearly all daylight fish have color vision that is at least as good as a human’s’. (Wikipedia, Fish, Sense organs) This surprising fact presents a need to investigate some other issues.

 

‘Among these forty-plus independent evolutions, at least nine distinct design principles have been discovered, including pinhole eyes, two kinds of camera-lens eyes, curved-reflector (“satellite dish”) eyes, and several kinds of compound eyes …. camera eyes with lenses, such as are well developed in vertebrates and octopuses’. (River Out of Eden, R. Dawkins p 91) Here is an opportunity to test how a (much less evolved) cephalopod, but which has camera lens vision, fits into the argument presented here.

 

‘Certain areas of the cephalopod brain are particularly interesting with respect to evolutionary convergence because they show a strikingly similar morphological organization to areas of the vertebrate brain that mediate similar functions. For example, the three cortical layers of the cephalopod optic lobe are organized similarly to the deeper layers in the vertebrate retina (Young, 1971). This similarity in the integrational layers is all the more striking because the mechanisms of transduction and physiological responses to light are totally different (e.g., Hardie and Raghu, 2001)’. (Biol. Bul. June 2006 vol. 210 no. 3 308-317) This seems to indicate that the argument is on-track, and perhaps further, that a fundamental principle is involved.

 

Returning to the fact that the eye has hardly changed in form from fish to humans, this shows the versatility of the camera-lens eye, which focuses between infinitely far and close-up (to say 10 cm), using just a tiny variable lens. The patterns of the environment, in which the animal functions, and which are received by the eye are then converted into electrochemical patterns which have then to be recognized by the mind/brain. But, distance, near and far, are linked to the animal’s behavioral patterns. In other words, that which we ‘see’, is different at distance and close up with respect to each animal’s place in the environment. Whilst the eye can handle it, the mind has to resolve two patterns that are fundamentally (logically) different, and needs two parts in each of the brains to make sense of the two different scenarios as the lens changes shape.

 

‘Unique to these intrafusal muscle fibres is an absence of the striations – due to an absence of the overlapping contractile proteins – in the central portion of the cell’s length. This central zone does not actively lengthen and shorten like the rest of the fibre, but is passively stretched and slackened by the contraction and release of the striated, muscularly active parts of the cell. Around this central region is wrapped a long sensory ending, the anulospiral receptor. Because of its spiral arrangement around the cylindrical intrafusal fibre, it can register quite precisely the degree of lengthening and shortening of the central zone.’ (JOB’S BODY, A Handbook for Bodywork, Deane Juhan, p 193) This measuring of distance gives an indication of how far away the object is.

 

The ‘distance pattern’ is logical and obeys the usual laws of nature, but how can this be when we consider space-time? It has been mentioned many times in this book that the Half-truth is the fifth dimension and is necessary for completeness. To continue, this is the space that contains possible predators or food sources. The ‘close up pattern’ contains family members milling around, allows stress-free closeness, grooming, with no food and no enemies to worry about. It is necessary for a single mind to comprehend both patterns, at the same time, and it can reference the required pattern by using the anulospiral receptor. In other words, the electrochemical inputs have to be compared with that stored in the brain and which are being continually updated. Considering that one eye is on each side of the fish, there cannot be ‘true’ spectroscopic vision, and there is a tradeoff that works to the fish’s advantage, else it would not have occurred (Rule of Life).

 

Alternate logical situations are possible, but clearly the die was cast with the simplicity of a multitude of sensors on each side of the animal, such as hearing, sight, olfactory, touch etc. feeding into their own brain, on each side. Of all of the sensors, sight is the most active over a large distance and so it is the principle determinant of the structure of the brain, also the focus distance (that is, how far away something is) of the eye can be computed accurately and simply by using the lens’ muscular contraction sensors, given that there is not ‘true’ stereoscopic vision.

 

The brain of octopus, fish and all the way to humans has two lobes because evolution started with two lobes, and evolution is stuck with it. So, as our eyes moved forward, did our eye architecture change or did the brain change? Surprisingly, the brain did not change, but the left half of both eyes rewired themselves to go to the left lobe and the right half of both eyes rewired themselves to go to the right lobe! (Wikipedia, Human brain, Lateralization) This is sensible because nerves grow easily, but the brain is a component and complex with an organization that has been static for a long time. Another factor is that the brain cannot ‘change’ with respect to the organisms around it because its reality will be compromised if it can’t sense ALL of the other animals and it would quickly become prey, which means it would die out. In other words, it is necessary that the brain remain unchanged if the organism is to survive.

 

In humans, it is well known that the two sides of our brains are ‘different’. The left side is analytical, whilst the right side is the artistic ‘feely’ side. ‘The corpus callosum has been severed in some patients who suffered from epilepsy, to try to control the level of electricity in their brains. These patients with two separate brains are at times observed to act as if they have two different personalities, or two separate minds, although the dominant side of the brain (usually the left), which is the one that houses language, wins out’. (Memory and Dreams, G Christos, p 25) Thus there is no real difference in the lobes, but there is some effect because the thalamus is storing ‘blocks’ of memories in discrete areas.

 

The corpus callosum ‘is a wide, flat bundle of neural fibers beneath the cortex in the eutherian brain at the longitudinal fissure. It connects the left and right cerebral hemispheres and facilitates interhemispheric communication. It is the largest white matter structure in the brain, consisting of 200-250 million contralateral axonal projections’. (Wikipedia, Corpus callosum)

 

‘The corpus callosum is found only in placental mammals (the eutherians), while it is absent in monotremes and marsupials, as well as other vertebrates such as birds, reptiles, amphibians and fish (other groups do have other brain structures that allow for communication between the two hemispheres ….). (Wikipedia, Corpus callosum, Species differences)

 

Over the vast time of evolution and the number of animals contributing to survival of the fittest there is great pressure to increase the complexity of biochemical reactions to attain goals, whilst there is great pressure to reduce unnecessary physical parts, if the same result can be attained another way, bearing in mind that it is necessary to build upon something that already exists. For example, the eye works well, but it does contain ‘engineering’ that could be bettered if we were to design it from basic principles instead of it evolving.

 

This leads to the result that the brain has retained the two lobes even as the corpus callosum has become such a major structure (as above). It seems that the two lobes are ‘coming together’, but evolution has set the pattern and there is no going back.

 

In conclusion, the two lobes of the brain only incidentally serve as a backup for the other, and the lobes are a ‘hang over’ from the bilateral symmetry of the fish, and a reminder of the original ‘simple’ method of decision-making that has been passed to specialized parts of the brain. In other words, the near/far logic is handled as ‘software’ in the brain. This is shown in the quotation, above that ‘other groups do have other brain structures that allow for communication between the two hemispheres’. The brain is unifying as time passes, as shown in the mammals, where the joining apparatus is a major component of the brain.

 

Chapter 12: Why the Brain has Two Hemispheres

Chapter 11: Changing your Mind – the Seventh Sense

Chapter 11: Changing your Mind – the Seventh Sense

 

 

The previous chapter indicated that the thalamus, in using a system of lobes, intensifies or ‘collates’ the re-emergence of memories because the memories are ‘filed’ or ‘keyed’ together. In other words, the ‘net’ of different memories come together from ‘attractors’ that are (parts of the) the lobes, because a memory consists of a sequence of the contents of different lobes. The Mathematics of the Mind attempts to handle patterns, like these, that change with time.

 

Much of the following is necessarily speculative, but, from the Rule of Life, above, that only essential body parts are kept, the retention of the thalamus shows that ‘pooling’ memories by type are necessary for the efficient functioning of the animal. Secondly, the thalamus, I believe, plays an important role in tying the lobes together. The thalamus is at the centre of the hemispherical cortex and it makes sense that the nerves from each lobe, containing the action potential of the memory contained in each lobe are linked together at the thalamus. It also makes sense that the parts of a memory from each lobe take the shortest distance to the assembly point and more importantly the same time so that synchronicity occurs.

 

The thalamus can be thought of as a ‘search engine’ or index to the ‘facts’ stored in the cerebrum and the result of a search is a somewhat normal distribution of results (about the required memory, because of creative thinking), as are found in computer search engines. The thalamus contains a map or index of the knowledge stored in the cortex and a signal passes a particular neuron in the cortex and the action potential ‘spreads’ through the dendrites of the following neurons and multiple action potentials return to the thalamus along the return paths of the memories stimulated. The strongest signal is the required memory, but other related memories are stimulated, and form the basis to ‘creative’ thought, because they are similar but only ‘segments’ of other memories.

 

Creative thoughts are caused by induction and/or additional memories, as above, whilst factual memories are already stored in two ways. Firstly, long-term storage is chemically ‘fixed’ in the cortex and changes minimally through the strength of the neurotransmitters. If not used regularly, the neurotransmitters weaken and the memory gradually becomes a part of the subconscious. Secondly, I believe that ‘registers’ exist in the hippocampus, which are the short-term memory (up to 10 years).

 

‘During dream sleep the brain is influenced by a different set of neurochemicals than when we are awake. During dream sleep the brain is cholinergically driven, while in waking consciousness it is driven by aminergic neurotransmitters, like norepinephrine and serotonin.’ (Memory and Dreams, George Christos, p 53) Clearly, during dream sleep the brain chemistry changes and something unusual is happening. It appears that memories are being laid during dream sleep.

 

Over evolutionary time, organisms tended to feed at certain optimal times, and at other times, were at a greater disadvantage due to changes in light intensity etc, so, logically they hid at these times. This also provided an opportunity for the body to repair itself and also to update the brain. However, from above, two states of the brain exist so in humans the brain uses the normal aminergic neurotransmitters and the cholinergic system in dreaming. ‘These are used alternatively, and the sleep stages become less deep and the Rapid Eye Movement (REM) which indicates dreaming become longer.’ (p 107) This is logical, to my mind, in that as repair of the body is effected, more time is given to the brain’s needs.

 

The ‘registers’ in the hippocampus are the short-term memory. They are memory that has not been consolidated in the cortex. This process can take up to 3 years. ‘From studies of H. M. it appears that the hippocampus slowly offloads its memory to the neocortex over a period extending up to three years. In addition … the hippocampus may act as a temporary store of memory itself. If memories are not encoded with sufficient intensity and repetition, they might not be relayed from the hippocampus to the neocortex, allowing them to be forgotten’. (p 70)

 

From the Rule of Life, above, the method used will be logically simple but there is no turning back, so, if I outline a ‘simple’ method, the method used in practice will be that method or ‘simpler’.

 

‘Lucid dreaming research has found that dreams last for roughly as long as they appear to last while we are dreaming. (p 153) This means that the action potentials from the sensors are going to the cortex in the same form as they are stored in the hippocampus. I surmise that the action potentials go into a circular ‘register’ for each type of sensor and ‘circulate’ in the hippocampus. Remember that action potentials are relatively slow-moving at 250 miles an hour and a reasonably amount of sensory input could be circulated. The thalamus is at the centre of the hemispherical cortex, so (roughly) equal times are taken for an ‘offshoot’ of the ‘register’ to go to the cortex. The ‘offshoot’ contains the same action potential as that in the ‘register’ because it is the nature of a biological ‘computer’ to ‘hive off’ equivalent action potentials into the terminal fibres.

 

So, the hippocampus sends the action potentials of each sensor to the thalamus via a nerve fibre, which allocates them to the respective lobes in the cortex.. Going the other way, from some neuron in the same lobe grows a new (or existing) terminal fibre to the thalamus and then back to the register in the hippocampus. These constitute the wiring and the problem is how to match the content of ‘pattern of paths’ in the cortex with those held in the ‘register’ in the hippocampus.

 

Using the Rule of Life, above, the actual (or for our purposes, a possible) means of accomplishing the storing of the string should be (one of) the simplest that will accomplish the task. The simplest scenario is similar to a roomful of monkeys with typewriters producing (say) a sonnet of Shakespeare. The only method of putting a sequence of action potentials into the cortex is by iteration. The memories of many people seeing the same occurrence of an action etc will differ markedly in detail as police witnesses attest, and memories tend to be curtailed and specific in content. Clearly, the smaller the memory that is recorded, the better, assuming that it is adequate, because there would be some exponential relationship with length. Thus a simplified and truncated ‘sonnet’ is all that is necessary from the roomful of monkeys.

 

This sounds a little ‘far fetched’, but the growing fibres cause an ‘iteration’ of the action potential until the memory is ‘sufficiently similar’ to that held in the hippocampus. At this point, the connections from the hippocampus to the thalamus would be ‘pruned’, and the ‘memory’ resides in the cortex. When music is replayed or a scene revisited the process is repeated, but because ‘parts’ of the pattern can be reused as parts of new patterns, our memory of that music etc gets better and better. In other words, a ‘learning curve’ that gets better with time and repetition is established. At the same time that patterns are intermingling, the neurotransmitters are strengthening and the memories are strengthening. This is autobiographical memory and equates to remembering where food can be found, remembering herd members etc. In other words, low stress remembering.

 

postscript: the two paragraphs describe an iterative process of creating memories in the cortex, which is a more energy (and logically) efficient method than retaining action potentials, as mentioned previously. A similar method is used in the making of antibodies to viruses. ‘The first step in generating a specific measles antibody gene occurs in the nuclei of immature immune cells. Among their genes are a very large number of DNA segments that encode uniquely shaped snippets of proteins. By randomly assembling and recombining these DNA segments, immune cells create a vast array of different genes, each one providing for a uniquely shaped antibody protein. When an immature immune cell produces an antibody protein that is a “close” physical complement to the invading measles virus, that cell will be activated. Activated cells employ an amazing mechanism called affinity maturation that enables the cell to perfectly “adjust” the final shape of its antibody protein, so that it will become a perfect complement to the invading measles virus. (Li, et al, 2003; Adams et al, 2003) (The Biology of Belief, Bruce H. Lipton, p 8)

‘Chris Brewin and his colleagues have argued that there is a fundamental difference between the extraordinary flashback memories of Post Traumatic Stress Disorder (PTSD) and those of ordinary autobiographic memory and have provided much psychological evidence for such a difference’. (Hallucinations, Oliver Sacks, p 242) I suggest that this difference is controlled by the level of the emotional ‘tag’ supplied by the amygdala. One would expect that memories of life threatening situations should be not only remembered but should be replayed at intervals, especially in like circumstances or similar geographical situations. It could be said that animals are in a constant state of fear of ambush and similar geographical situations should throw up mental reminders. It might be hard on the animal but it makes good sense!

 

‘If you listen in while the rat is acquiring new information, like learning to navigate a maze, you soon will detect something extraordinary. A very discrete “maze-specific” pattern of electrical stimulation begins to emerge…. a specifically timed sequence during the learning. Afterward, the rat will always fire off that pattern whenever it travels through the maze. It appears to be an electrical representation of the rat’s new maze-navigating thought patterns (at least, as many as 500 electrodes can detect).’ (Brain rules, John Medina, p 164)

 

‘When the rat goes to sleep, it begins to replay the maze-pattern sequence. The animal’s brain replays what it learned while it slumbers … Always executing the pattern in a specific stage of sleep, the rat repeats it over and over again – and much faster than during the day. The rate is so furious, the sequence is replayed thousands of times.’ (p 164) These two paragraphs appear to suggest that the experimental evidence supports the theoretical derivation, above.

 

The following is from http://www.sciencemag.org on April 27, 2007: ‘“There is a young student at this university,” says Lorber, “who has an IQ of 126, has gained a first-class honours degree in mathematics, and is socially completely normal. And yet the boy has virtually no brain…. When we did a brain scan on him,” Lorber recalls, “we saw that instead of the normal 4.5-centimeter thickness of brain tissue between the ventricles and the cortical surface, there was just a thin layer of mantle measuring a millimeter or so. His cranium is filled mainly with cerebrospinal fluid.”

 

‘”Scores of similar accounts litter the medical literature, and they go back a long way,” observes Patrick Wall, professor of anatomy at University College, London, “but the important thing about Lorber is that he’s done a long series of systematic, rather than just dealing with anecdotes.” ‘The most severe group, in which ventricle expansion fills 95 percent of the cranium. Many of the individuals in this last group, which forms just less than 10 percent of the total sample, are severely disabled, but half of them have IQ’s greater than 100. This group provides some of the most dramatic examples of apparently normal function against all odds.’

 

‘Lorber concludes from these observations that “there must be a tremendous amount of redundancy or spare capacity in the brain, just as there is with kidney and liver.”’ ‘He also contends that “the cortex probably is responsible for a great deal less than most people imagine.” “It may well be that the deep structures in the brain carry out many of the functions assumed to be the sole province of the cortex.” It has been suggested that the cortex has evolved to be larger in the ‘higher’ animals for ‘social’ reasons. Herds of animals appear to have a hierarchy that becomes more complex with evolution and presumably allows more protection for those engaged in ‘grooming’ the animals higher on the social ‘ladder’. This is in line with the paragraph above, that half of the severely disabled had ‘IQ’s greater than 100’. As an IQ of 100 is ‘normal’, it would appear that ‘severely disabled’ implies interaction problems with other people on an emotional level.

 

This seems to support the idea that the hippocampus has a huge capacity to remember facts that have to be remembered exactly (consider London taxi drivers), whereas the cortex is an integrating, forgetting, and inaccurate record, although the hippocampus is costly in terms of energy for maintaining storage.

 

“Hydrocephalus is principally a disease of the white matter. As the ventricles enlarge the layers of fibers above them begin to be stretched and very quickly they are disrupted, with the axons and myelin sheaths surrounding them breaking down. Even in severe and extended hydrocephalus, however, the nerve cells in the gray matter were remarkably spared, though eventually there began to be a loss here too.” ‘The sparing of the gray matter even in severe hydrocephalus could go some way to explaining the remarkable retention of many normal functions in severely affected individuals.’ This seems to agree with the previous that probably most of the ‘functioning’ is carried out in the gray matter, and the white matter is for insulated transmission of action potentials.

 

(D) The brain, as a biological computer, contains another ‘dimension’ that should be considered. ‘An interesting point that is often mentioned by people who use drugs is that they seem to have a different set of memories depending on their state of mind, that is, whether they are under the influence of a drug or not. (There is some experimental evidence to support this.) This suggests that people may lay down different memories when a different neurochemistry (induced by a drug) is operative in their brain, and these memories may not be retrievable unless the same neurochemistry is attained again.’ (Memory and Dreams, George Christos, pp 52-53)

 

‘The blood-brain barrier (BBB) is a separation of circulating blood from the brain extracellular fluid (BECF) in the central nervous system (CNS). It occurs along all capillaries and consists of tight junctions around the capillaries that do not exist in normal circulation. Endothelial cells restrict the diffusion of microscopic objects (eg., bacteria) and large or hydrophilic molecules into the cerebrospinal fluid (CSF), while allowing the diffusion of small hydrophobic molecules (O2, CO2, hormones). Cells of the barrier actively transport metabolic products such as glucose across the barrier with specific proteins.’ (Wikipedia, Blood-brain barrier)

 

Further, ‘there are some biochemical poisons that are made up of large molecules that are too big to pass through the blood-brain barrier. This was especially important in primitive or medieval times when people often ate contaminated food. Neurotoxins such as Botulinum in the food might affect peripheral nerves, but the blood-brain barrier can often prevent such toxins from reaching the central nervous system, where they could cause serious or fatal damage.’ (Wikipedia, Blood-brain barrier, Pathophysiology)

 

From previously, the Rule of Life says that living systems can be extremely complicated, whereas the logic becomes simplified. As an example of the effect that one common simple molecule can have, consider ethanol. ‘Ethanol acts in the central nervous system by binding to the GABA-A receptor, increasing the effects of the inhibitory neurotransmitter GABA (i.e., it is a positive allosteric modulator). (Wikipedia, Ethanol, Drug effects, Short-term, Effects on the central nervous system) ‘A positive allosteric modulator (PAM) induces an amplification, a negative modulator (NAM) an attenuation of the effects of the orthosteric ligand without triggering a functional activity on its own in the absence of the orthosteric ligand.’ (Wikipedia, Allosteric modulator) ‘In biochemistry and pharmacology, a ligand (from the Latin ligandum, binding) is a substance (usually a small molecule), that forms a complex with a biomolecule to serve a biological purpose. In a narrower sense, it is a signal triggering molecule, binding to a site on a target protein. The binding occurs by intermolecular forces, such as ionic bonds, hydrogen bonds and van der Waals forces. The docking (association) is usually reversible (dissociation).’ (Wikipedia, Ligand (biochemistry))

 

The blood-brain barrier has long been useful over our evolution as a defense against large molecules, but looking more closely at the ‘small’ molecules that can be let in, we find a ‘seventh sense’. Traditionally, the five senses are taken to be hearing, smell, taste, sight and feel in humans, and the sixth is balance. But do we find extra senses in animals in general?

 

‘Sonar has evolved at least four times in animals on our planet (in bats, whales, and two separate kinds of cave-dwelling birds). There are fish that have evolved the ability to find their way about using distortions in an electric field that they themselves create. In fact, this trick has evolved twice independently, in a group of African fish and in a completely separate group of South American fish. Duck-billed platypuses have electric sensors in their bills which pick up the electrical disturbances in water caused by the muscular activity of their prey.’ (The Magic of Reality, Richard Dawkins, pp 201-202)

 

So, what is the current perception of the ‘seventh sense’. ‘In the mid-1990s, for example, no less an arch-skeptic than the late astronomer Carl Sagan rendered his lifelong opinion that all psi effects were impossible. But in one of his last books, The Demon-Haunted World: Science as a Candle in the Dark, he wrote, “At the time of writing there are three claims in the ESP field which, in my opinion, deserve serious study: (1) that by thought alone humans can (barely) affect random number generators in computers; (2) that people under mild sensory deprivation can receive thoughts or images “projected” at them; and (3) that young children sometimes report the details of a previous life, which upon checking turned out to be accurate and which they could not have known about in any other way than reincarnation.” (Psychology Today, Is There a Sixth Sense, Dean Radin, Colleen Rae, Ray Hyman, July 01, 2000)

 

postscript: It is shown later that as we live, in my opinion, in a probability space with universe-wide entanglement from the Law of Conservation of Energy, and every source of energy and matter are (logically) entangled, but I hardly think that this logic has a capacity to carry human thought or wishes. Some religions believe in reincarnation, but I won’t pursue it here.

 

The following paragraphs satisfy the definition of ‘seventh sense’ in that the interaction of the creature with the world at large distance, but is somewhat less than many people would hope for. As listed above, the ‘‘evanescent’ wave – is special because the wave disturbance dies away very rapidly the further away we go from the surface’. This fact allows creative thoughts to be concentrated around the same subject, as evidenced by the use of lobes, or areas of storage of one type of sense.

 

However, it is possible that the ‘induction’ in our thoughts, referred to above, in respect of creative thinking may translate into some sort of ‘thought transference’ over a short distance such as ‘pillow talk’. The other two effects could be classed as ‘action at a distance’.

 

This ‘seventh sense’, to which I am referring, is part of the basic structure of the brain in mammals (at least from experiments on rats and humans), and incorporates a ‘tasting’ or ‘feeling’ of the environment at a distance. The ‘seventh sense’ that occurs in the brain comes through ingestion of chemicals as distinct from ‘survival of the fittest’ which is derived through the eyes, ears, muscles, reaction time etc. As animals feed through different seasons, weather patterns etc, the chemistry of the food changes and thus their memory and interaction with their environment changes. In extreme cases, such as drought, the fodder includes increasing amounts of ‘bitter herbs’ with increasing phytotoxins which could (possibly) change the individual’s thinking from the ‘herd thinking’ to ‘survival of the individual’ and thus a radiation to other niches.

 

“The psychiatrist Ronald K. Siegal holds that all creatures, from insects munching psychoactive plants to human children playing spinning games to get dizzy, have an inborn need for intoxication. He writes, “This behavior has so much force and persistence that it functions like a drive, just like our drives of hunger, thirst, and sex”. Do we, in fact, have an innate drive to alter the function of our brains? And if so, why?’ (Pleasure, David J. Linden, p40)

 

In particular, the recreational drugs affect a number of neurotransmitters. ‘Cocaine and amphetamine act on the dopamine system…. ecstacy acts on the serotonin system… heroin and other opium-related substances act on the mu and delta opoid receptors. Alcohol works through GABA A receptors and through the NMDA glutamate receptors. (Looking for Spinoza, Antonio Demasio p 123) ‘All of these accounts report a remarkably uniform set of changes in the body – relaxation, warmth, numbness, anesthesia, analgesia, orgiastic release, energy. Again it makes no difference whether these changes actually occur in the body and are conveyed to somatosensing maps, or are directly concocted in these maps, or both.’ (p 122)

 

After four chapters on the mind/brain, I hope that I have shown that the Rule of Life is a good working model, and that, whilst the chemistry is complicated, the logic is simplified and the next chapter will show how there is no turning back and our bodies do the best that they can by building on the past.

Chapter 11: Changing your Mind – the Seventh Sense

Chapter 10: Creative Thinking – the Ninth Sense

Chapter 10: Creative Thinking – the Ninth Sense

 

 

What is the mechanism behind creative thinking (the ninth sense)? Firstly, I believe that creative thinking and consciousness are the same thing and have been with us since (practically) the beginning because if there were no creative thinking (or consciousness) why would an organism move out of the niche that it found itself in, and that is counter- heritable. Every organism (to my mind) eats a little of a new food to ascertain if it is poisonous and ‘register’ it as a source of nutrition and required chemicals (eighth sense). It is heritable that an organism satisfy its nutrient requirements in the most efficient manner, and as an example, it is common knowledge that pregnant women get cravings for unusual foods.

 

What is the mechanism behind creative thinking? I can think of three contenders, (A) ‘induction’, where existing memories start similar memories running by inducing action potentials, (B) a filing system that stores memories in the cortex in blocks that are of similar composition, such as hearing, sight etc and (C) ‘cascade’, where the action potential generates other action potentials that are part of the ‘subconscious’, and have sufficient neurotransmitters to generate a ‘somewhat random’ thought from past, unused memories. Creative thinking has to be kept under control, for the vast majority of time the animal just has to function in it’s normal manner. However, when the whole of the animal’s world changes, another form of creative thinking, called the ‘seventh sense’ (D) comes into play!

 

(A) ‘One of the most startling consequences of de Broglie’s wave hypothesis and Schrodinger’s equation was the discovery that quantum objects can ‘tunnel’ through potential energy barriers that classical particles are forbidden to penetrate…. Roughly speaking, we can ‘borrow’ an energy deltaE to get over the barrier so long as we repay it within a time deltat = h/deltaE…. Although both waves on a string and water waves can be made to exhibit ‘wave tunneling’, probably the most familiar example involves light in its wavelike guise…. How is all this connected with quantum tunneling? Well, although no light rays penetrate the air beyond the glass, when the light arrives at the glass surface at an angle larger than the critical angle, there is none the less some sort of wave disturbance generated in the air. This is not a wave that carries energy, like ordinary ‘traveling’ waves, but a ‘standing’ wave pattern that does not transmit any light energy.’ (The New Quantum Universe, Tony Hey and Patrick Walters, pp 73-75) From above, E is energy, t is time and h is Planck’s constant.

 

‘The type of standing wave involved here – a so-called ‘evanescent’ wave – is special because the wave disturbance dies away very rapidly the further away we go from the surface. The connection with tunneling comes about if we place another block of glass parallel to the first one. As we move the two blocks towards each other so that the evanescent wave disturbance begins to penetrate the second block, a transmitted ray of light appears! The closer the two blocks are brought together, the more light energy that reappears as a transmitted ray.’ (Pp 75-76)

 

‘Fig. 5.5 Tunneling with water waves. (a) The speed of water waves depends on the depth of water.’ (P 78) To put the generality of this effect into perspective, Tsunami waves also travel at a speed dependent on the ocean’s depth at that point. The relationship is c = square root of gH, where c is the speed of the wave, g is the acceleration due to gravity and H is the depth of water.’ (Australian Government, Bureau of Meteorology, http://www.bom.gov.au/tsunami/info, The physics of a tsunami)

 

‘(b) This photograph shows the same scene but with the width of the forbidden region much decreased. One can now clearly see that the water wave can ‘jump the gap’ and appear on the other side. This is a well understood wave phenomenon and is the basis for tunneling in quantum mechanics.’ (P 78)

 

The evanescent wave is the result of a purely energy wave, and the de Broglie wave is that of charged and uncharged particles. ‘Matter waves were first experimentally confirmed to occur in the Davisson-Germer experiment for electrons, and the de Broglie hypothesis has been confirmed for other elementary particles. Furthermore, neutral atoms and even molecules have been shown to be wave-like. (Wikipedia, Matter Wave, Experimental confirmation)

 

postscript: ‘an evanescent is a near-field wave with an intensity that exhibits exponential decay without absorption as a function of the distance from the boundary at which the wave was formed. Evanescent waves are solutions of wave-equations, and can in principle occur in any context to which a wave equation applies. They are formed at this boundary between two media with different wave motion properties, and are most intense within one third of a wavelength from the surface of formation. In particular, evanescent waves can occur in the contexts of optics, and other forms of electromagnetic radiation, acoustics, quantum mechanics and “waves on strings”.’ (Wikipedia, Evanescent waves)

 

‘The action potential is the movement of fluids. It is only like an electrical signal in certain respects.’   (JOB’S BODY, A Handbook for Bodywork, Deane Juhan, p 158) Whilst electrical charges are moved, they are part of the ions that are formed in solution and are the simplest components for the body to move around. In other words, the action potential is an energy wave and has effects at a distance. The unshielded neurons would be held apart by the positive charge on the surface.

 

I believe that the evanescent waves of nerves are the major physical effect that underlies creativity within the brain, by inducing a ‘local influx of sodium ions (Na+) enters into the midst of a negatively charged environment just inside the membrane, they are naturally pulled to the sides, thus spreading the internal positive charge, opening more and more adjacent sodium gates, and spreading the depolarization across the whole membrane.’ (6-13, p 153) The action potentials that are generated or induced, move in both directions to synapses and only the synapse in the correct direction is affected.

 

(B) Also, creativity is enhanced through the thalamus allocating the various parts (from different sensors) of a memory to the appropriate lobe of the brain. When creative thinking (induction of neurons) occurs, it would occur in related areas to the current thinking because the thalamus stores the memories of like occurrence in the same lobe. However, the stimulated neuron is linked to different parts of the brain as the memory is followed through the lobes.

 

Throughout evolution, inputs to the brain have been emotional because that is the only avenue that is available to the brain via the amygdala, which provides the level indicating the importance of memory input into the hippocampus and ultimately the cortex. Animals, and us, use emotion because that is determined by fear of predation, attraction to sexual partners, confrontation of competitors etc. The seventh sense (see later) uses chemicals to change the way the brain thinks, but only after the emotion has dictated the memories that have been retained in the hippocampus or have been up loaded to the cortex. Rational thought would use the facts that have to be retained because we must, in studying, hold in our mind to ‘remember this’, which is an emotive tag.

 

However, ‘forgetting’ is paramount in the functioning of the brain, from the emotional labels selecting memories in the hippocampus to the reduction of importance of stored memories in the cortex. Consider the reverse. ‘What does living with a near-absolute memory mean…. Sherashevsky’s mental life bordered on the pathological. His mind must have resembled the state of consciousness we sometimes experience when we fall asleep: a quick, associative series of pictures, the fleeting impressions of a chaotically edited film’ (Why Life Speeds Up As You Get Older, Douwe Draaisma, p 69) This would describe the contents of the hippocampus. The cortex holds memories that have been processed into the lobes.

 

A second effect is the downgrading of memories in the cortex that occur as a weakening of the neurotransmitters through lack of use over time. ‘If a neuron is repeatedly excited, it releases chemicals (like nitric oxide, NO), which drift back to the presynaptic neurons that were exciting it, and this causes those neurons to increase the available amount of neurotransmitter for future transmission. This will ensure that the next time a signal travels down one of these channels its effect will be amplified.’ (Memory and Dreams, George Christos, p 18) Consider ‘Nietzsche’s dictum in Human, All Too Human: ‘many do not become thinkers because their memory is too good.’‘ ’ (Why Life Speeds Up As You Get Older, Douwe Draaisma, p 70)

 

(C) I believe that (long-term) memories are never completely forgotten. They may be down-graded and not able to be remembered, but the essential part still contributes to our creative thinking. Logically, memories that are not used often, should be relegated to a ‘sub-conscience’ simply because they are not called upon often and accessing them would slow-down the decision-making. Indeed, this is the definition of the ‘sub-conscious’ in that we cannot access it but it brings the most important (emotionally charged) memories from the past into the calculation of the present situation. The more that a problem is accessed by thinking about it, the stronger the neurotransmitters in the ‘forgotten’ memories become, and eventually this brings the downgraded axons and their ‘net’ of memories more and more into the calculation as time goes on. This is in line with common experience, where the sub-conscious provides the answer after sleeping or the passage of time etc.

 

The cost of keeping a ‘memory’ in the cortex is not high because the diameter of an axon is only about one millionth of a metre, whereas setting up a ‘permanent’ memory is costly as shown below. ‘Fully three-quarters of the cell bodies in the human central nervous system are contained in the cortex. And the horizontal interconnections between these cells are far more dense than those in the cord or the lower brain. Schematically, it resembles a ball of cotton fuzz much more than it resembles even the most complex man-made electrical circuitry’ (JOB’S BODY, A Handbook for Bodywork, Deane Juhan, p 174)

 

This cotton fuzz picture is in line with common thinking that the more learned the person, the more likely that they are to think creatively. Simply, the more facts that the brain has to hold, the more axons, the denser the cotton fuzz and the more opportunity for induction to occur between the axons. ‘Henri Poincare, a nineteenth-century French mathematician and physicist, talked about hidden combinations of unconscious ideas and described a mental process …. Ideas rose in crowds; I felt them collide until pairs interlocked, so to speak, making a stable combination.’ (Future Minds, Richard Watson, p 67)

 

The larger animals, such as the elephant, tend to be long-lived, as one would expect with so many resources invested in them, and they tend to be lead by a ‘matriarch’ or the oldest members. The older the animal, the more it has experienced, and with the variability of climate over the years, the more important it is that the directions to water-holes, salt-licks, pastures and other food sources commensurate with the weather conditions are remembered.

 

The sub-conscious system as described seems to be an ideal system in that current memories are used for current problems and old or less emotive memories are downplayed, but old memories can be strengthened over time as conditions change until they are remembered as part of an integration of past memories. This should not be confused with the seventh sense, in the next chapter. The down-side of this system is that going over half-forgotten memories can strengthen the memory and bring it into current thinking. This can be a problem with post-traumatic stress. Even worse, it can be seen that ‘false’ memories can be generated by concentrating on specific subjects.

 

‘The researchers concluded that some of the techniques used in recovered memory therapy, such as visualization, suggestion and hypnosis, could have been responsible … As we know from the research on imagination inflation, asking people vividly to imagine abuse events is likely to lead to subsequent false claims that the events actually happened.’ (Pieces of Light, Charles Fernyhough, p 164) ‘”The difference between false memories and true ones,” observed the legendary surrealist painter Salvador Dali, “is the same as for jewels: it is always the false ones that look the most real, the most brilliant.”’ (p 164)

 

Deja vu is the feeling of having experienced something before, such as a place, or a scene, or a person etc. ‘Around two-thirds of people experience ordinary deja vu, which the psychologist Alan S. Brown has described as a “routine memory glitch” with various plausible explanations. One possibility is that we are experiencing a match between a genuinely new experience and an implicit memory for something we have experienced before, but for which we do not have explicit memory: a dream, perhaps, or a familiar context for which we don’t have an autonoetic memory. In line with this interpretation, it proves possible to elicit deja vu experiences in the lab, by showing participants stimuli so briefly that they don’t consciously perceive them, and then presenting them for a longer period.’ (pp 180-181)

 

From the derivation above, it seems more accurate to call deja vu a routine memory function, and not a glitch in memory function, for a number of reasons. Some of which are (1) two-thirds of people is a significant percentage, (2) the subconscious would be a sizeable part of the brain, and would be routinely accessed by induction to produce creative thought, (3) some memories are held in the hippocampus for long periods, but are not important enough to rate cortex space, and not un-important enough to be discarded, (4) some memories in the cortex change over time and are upgraded in the light of current experience.

 

All of the above assumes a ‘level playing field’ when it comes to nutrition, and we assume that nutrition is adequate. The ‘seventh sense’ that is derived in the next chapter 11 is a sense that changes or varies the working of the mind so that it can better function as the weather, and thus the food supply varies. It should be noted that Survival of the Fittest is a principle that applies, at times, when the food supply is stretched in quantity and quality and thus extends to mental ‘fittness’.

 

postscript: I’m going to mention something that is dealt with later in the book, but it is a question of such importance that it needs to be repeated (and expanded) here. The question is: why does everyone see the same thing? The (general) answer is that we all see the same thing because it is ‘real’. However, bees see different colours in the flowers than we do, more into the ultra-violet. Why do we have good colour vision when dogs have poor colour vision? I imagine that we are descended from fruit-eating monkeys that had to be able to tell when fruit was ripe enough to eat, that is, that the plant produced enough sugar in the fruit when the seed was sufficiently mature to sprout. (It is, of course, heritable that plants allow the fruit to be edible when the seed will germinate.) Dogs would not need colour to hunt.

 

The question is thus: what is reality? It is heritable that our bodies produce a continuous and complete picture, at all times, with contrast of colours etc. to allow us to confabulate and pick out a predator from the undergrowth as fast and as far away as possible. If we don’t see the same as other animals, we must see ‘enough’ of the same to be able to co-exist in a predator/prey relationship, and for this to occur, we need a reality that is continuous and complete. In other words, no blank spaces through which a predator can sneak up on us. It helps that we evolved using a brain and other senses that are ‘components’ and have remained unchanged for a very long time and are basically the same for most fish/amphibians/reptiles/animals.

 

Our senses have to ‘mesh’ with every other animal otherwise we would be vulnerable to predation and thus, reality in a global sense is heritable. In other words, if it can hurt us, we need to be able to sense it, and that is heritable. We evolved other defenses for the very small, and that is an immune system. For earthquakes, we stayed out of caves, flash-floods, don’t camp near rivers, evolved ‘jumping back’ at snakes, fear of heights etc.

 

In a quantum mechanical sense, when someone sees or measures an object, it becomes determinant/real/ determined wave-function and because our brains have the same architecture, we see the same thing. (Remember that determination occurs when it is measured and CAN be accessed, not when it IS accessed.) If the speed of light is measured by two observers, that are moving at a velocity relative to each other, it is found that the speed of light is the same to each observer. This is Relativity and is logical, because the speed of light (like quantum mechanics, and every other measurement) is an ACT of measurement between the object measured and the mind doing the measuring.

 

This might seem strange, but only because we use space-time and don’t recognize a fifth dimension (Kaluza and Klein) that is a logical dimension (Half-truth). Current thinking is that we exist, which suggests space-time, but I believe that our universe is a probability space that contains Conservation of Energy (=1), that is the total of a probability field (=1), (plus x, y and z, and time passing). Logic is the dimension of the galaxy, and space-time are the units that we have evolved to create a reality that is suitable for Survival of the Fittest.

 

Chapter 10: Creative Thinking – the Ninth Sense

Chapter 9: The Brain and Mind

Chapter 9: The Brain and Mind

 

If the brain is a component, is the entire nervous system a component? In general, we know that people have little problem with their nervous system, so the question is, is it capable of doing whatever is asked of it? Why is knowing how ‘robust’ the nervous system is, so important. The answer is that from the Mathematics of the Mind, the solution to patterns is the prediction, and the prediction requires that the underlying assumptions are robust enough to support the predictions.

 

‘7-31: the alpha motor system also routes most of its impulses through the cerebellum, where voluntary actions are integrated with information coming from the special senses and the proprioceptors.’ (JOB’S BODY, A Handbook for Bodywork, Deane Juhan, p 240) There is no part of the nervous system where activity is more brisk. There is not a sensory event in the body that is not evaluated, nor a motor event that is not monitored by the cerebellum. No signals originate here, but almost all pass through at one stage or another on their way to becoming behavior.’ (p 241)

 

A personal observation might be the best ‘proof’. As part of my anti-aging program and social scene I spend as much time as I can dancing Salsa, Rock’n’Roll, ballroom etc at a fast pace (and high level, I believe) with hyper-active young ladies. I find it very difficult to believe that someone of my age (70+ years) can do this with no problems, and at such speed. The point that I wish to make is that I do not know (consciously, that is) what moves I have done or what moves I will do. If I want to do a particular move, I hold it in my conscious mind and when dance and floor conditions allow it to be done, it will be done, unconsciously (not subconsciously, as will be explained later). Further, my field of vision only takes in the other dancers and the move is set in motion when it can be done so as to keep my partner out of other dancers way. It really is a strange experience!

 

There are few ladies that will move at that speed, but the few that do, like the complements that they receive! The point is that the two of us are doing separate steps, our hands are finding each others without fail and apart from navigating around the floor, we are part of the patterns of the music, the steps and each others movements, as well as avoiding the other dancers, all at top speed. This shows that the gamma system can handle whatever is thrown at it (provided that it is given time to grow the ganglions!). This ‘proof’ is a bit ‘rough’ but I am sufficiently satisfied with it to press on! Another example, is that I play the guitar in the classical way with the left hand fingering the strings, the right hand using five fingers to pluck the strings and the voice to sing the words of the song. The body is truly a marvelous machine, and does what is required of it, albeit with a lot of practice!

 

This example points to how animals (including us) function on a basic level. Our body moves as much as possible into an automatic system, leaving some part of the mind to always be able to make decisions, or in other words, to be conscious. Consciousness has been with organisms for a long time and the physics of it is explained in the next chapter.

 

Each animal obviously has within itself the ability to cope with change, otherwise it (and probably the species) is on the verge of extinction. This ability to adapt is a fundamental factor of life. It is why we have developed two sexes, it is ‘need it, grow it’, that it is the converse of ‘use it or lose it’, it is why species exist for long periods, and it leads animals, like ourselves to have to change. But we now have the chance to move to ‘Survival of the Best’ or risk dropping back into the ‘dog eat dog’ situation of Survival of the Fittest.

 

The thalamus ‘is a midline symmetrical structure within the brains of vertebrates including humans, situated between the cerebral cortex and midbrain. Its function includes relaying sensory and motor signals to the cerebral cortex, along with the regulation of consciousness, sleep and alertness.’ (Wikipedia, Thalamus)

 

‘The cerebrum is the newest structure in the phylogenetic sense, with mammals having the largest and most well developed among all species. In large mammals, the cerebral cortex is folded into many gyri and sulci, which has allowed the cortex to expand in surface area without taking up much greater volume…. The neural networks of the cerebrum facilitate complex behaviors such as social interactions, thought, judgement, learning, working memory, and in humans, speech and language.’ (Wikipedia, Cerebrum, Composition)

 

Using the Rule of Life, above, that body logic will be simple, the rule is also invoked by the body running two (or more) logical functions through the same organ. In the thalamus, I am concerned only with the relaying of sensory and motor signals to the cerebral cortex, at the moment). ‘The cerebral cortex is the layer of the brain often referred to as gray matter. The cortex (thin layer of tissue) is gray because nerves in this area lack the insulation that makes most other parts of the brain appear to be white. The cortex covers the outer portion (1.5mm to 5mm) of the cerebrum and cerebellum.’ (About.com, Education Biology, Cerebral Cortex, Regina Baily) ‘The living brain is very soft, having a consistency similar to soft gelatin or soft tofu’ (Wikipedia, Human Brain, Structure)

 

‘Because of its large number of tiny granule cells, the cerebellum contains more neurons than the rest of the brain put together, but it takes up only 10% of total brain volume. The number of neurons in the cerebellum is related to the number of neurons in the neocortex. There are about 3.6 times as many neurons in the cerebellum as in neocortex, a number that is conserved across many different mammalian species. The unusual surface appearance of the cerebellum conceals the fact that most of its volume is made up of a very tightly folded layer of gray matter, the cerebellar cortex. It has been estimated that, if the human cerebellar cortex were completely unfolded, it would give rise to a layer of neural tissue about 1 meter long and averaging 5 centimeters wide – a total surface area of 500 square cm, packed within a volume of dimensions 6 cm x 5 cm x 10 cm. Underneath the gray matter of the cortex lies white matter, made up largely of myelinated nerve fibres running to and from the cortex. Embedded within the white matter – which is sometimes called the arbor vitae (Tree of Life) because of its branched, tree-like appearance in cross section – are four deep cerebella nuclei, composed of gray matter.’ (Wikipedia, Cerrebellum, Anatomy)

 

‘From the viewpoint of gross anatomy, the cerebellar cortex appears to be a homogeneous sheet of tissue, and, from the viewpoint of microanatomy, all parts of this sheet appear to have the same internal structure.’ (Wikipedia, Cerebellum, Structure, Compartmentalization) ‘Prior to the 1990s, the function of the cerebellum was almost universally believed to be purely motor-related, but newer findings have brought that view strongly into question…. Kenji Doya has argued that the function of the cerebellum is best understood not in terms of what behaviors it is involved in but rather in terms of what neural computations it performs…. is best understood as a device for supervised learning, in contrast to the basal ganglia, which perform reinforcement learning, and the cerebral cortex, which performs unsupervised learning.’ (Wikipedia, Cerebellum, Function)

 

Bearing in mind the Rule of Life, the quotations above allow a ‘view’ of the body through time. Considering the nervous system only, from above, the ganglions in our spine (worm brain) are ‘boosted’ by the hind brain (lizard brain) is ‘boosted’ by the cerebellum (animal brain) and finally ‘boosted’ by the cortex (higher brain). Each of these ‘brains’ is composed of nerves and have come into being because of survival of the fittest. In the ‘higher’ brains (cerebellum and cerebral cortex), the memory and ‘switching’ devices are more visible. But first, let us look at ‘nerves’.

 

Other specialized glial cells – oligodendrocytes and Schwann cells – insulate the long axons with a tough , fatty coating called myelin. This insulation prevents signals from one axon inadvertently “leaking” into adjacent axons, and it also speeds up the passage of neural impulse considerably. Myelin is whitish in color, giving the so-called “white matter” of the nervous system its name. “White matter” contrasts to “grey matter” the color of cell bodies and axons that are not coated with myelin sheaths. (JOB’S BODY, A Handbook for Bodywork, Deane Juhan, pp 145-146)

 

This last paragraph is particularly important because firstly, this is another aspect of the Rule quoted earlier, where the body puts on enough of ‘something’ to enable the body to do what is required of it (the reverse of use it or lose it!). If we have to react faster to survive (where dance can be used as a substitute!), our body will increase the insulation around the nerves to speed up the impulses, as well as growing more ganglions. Secondly, the lack of insulation in the ‘grey matter’ points to, from above ‘signals from one axon inadvertently “leaking” into adjacent axons’. This is a case of the body using the nerves as in the reference to computers above, where there is stability with the myelin sheath to a form of chaos in the unprotected grey matter.

 

A number of references have mentioned gray matter (unshielded and, as seen in the next chapter, creating new thoughts) and white matter that is shielded and acts as normal insulated ‘wires’. Different parts of the brain contain a mix of gray and white matter and these are there for a reason, and I believe that that reason is that evolution produced a ‘set’ of ‘brains’, one on top of the other as the organism became more complicated. Gray matter produces creativity/consciousness and it is there at every level, and is heritable!

 

In the beginning, nerves evolved to control and synchronize the movement of muscles so that the organism could move around. The next sense to evolve was probably that of smell because it is connected directly to (what is now) the forebrain. This can be clearly seen in a schematic of the brain of a fish. (Wikipedia, Fish, Central nervous system)

 

‘These persistent biochemicals penetrate the mucus and brush against little quill-like protein receptors that stud the nerves in the olfactory epithelium. The receptors can recognize a large number of smell-evoking molecules… the neurons begin to fire excitedly … to a group of nerves lying directly above them, in the olfactory bulb…. every other sensory system, at this point, must send a signal to the thalamus and ask permission to connect to the rest of the brain – including the higher levels where perception occurs…. one of those destinations is the amygdala … because smell directly stimulates the amygdala …. smell directly stimulates emotions. Smell signals also head through the piriform cortex to the orbitofrontal cortex, a part of your brain just above and behind your eyes and deeply involved in decision making.’ (Brain rules, John Medina, p213)

 

Consider ‘the receptors can recognize a large number of smell-evoking molecules’ from above. This is as would be expected, and is the first attempt at a ‘brain’. Two nostrils provide the direction for the creature to move so that the intensity is equalized, and a large number of receptors to define ‘alluring’ smells and to define a ‘scale’ of desirability. A simple hard-wired system that is still with us.

 

Consider ‘the neurons begin to fire excitedly’. At this early stage of evolution, the ‘brain’ consisted of nerves throughout the body, including those directing the muscles, and the olfactory neurons (one on each side) would have guided the creature to the food. The continuous firing guided the animal. But the body runs on an inhibitory versus excitatory system, with the neurotransmitters providing the balance of desirability. This is how balance is attained, from a logical point of view, to make the body into a ‘computer’.

 

Then at some point, eyespots evolved. But, ‘serviceable image-forming eyes have evolved between forty and sixty times, independently from scratch, in many different invertebrate groups’ (River Out of Eden, Richard Dawkins, p 91) Eyespots evolved to register change from one state (of what is being observed) to another, so that the appropriate action can be taken. The only way this could be done is to have the nerve impulses from the eyes be put into a register and held till the next sampling comes in and is compared to it. Then, at the next sampling time the original is overwritten, and so forth. Where could this happen?

 

‘How do we cram the vast universe of our experience into the relatively small storage compartment between our ears? We do what Harpo did: we cheat…. it is compressed for storage by first being reduced to a few critical threads. Later, when we want to remember our experience, our brains quickly reweave the tapestry by fabricating – not by actually retrieving – the bulk of the information that we experience as a memory’ (Stumbling on Happiness, Daniel Gilbert, pp 78-79)

 

‘The cerebral cortex is the newest portion of the nervous system, and in man it has developed into the largest portion. In its anatomical connections, it is clearly an outgrowth of the areas of the brain directly beneath it- the hypothalamus’. (JOB’S BODY, A Handbook for Bodywork, Deane Juhan, p 173) ‘London is a taxi driver’s nightmare, a preposterously large and convoluted urban jungle built up chaotically over some fifteen hundred years…. In order to be properly licensed, London taxi drivers must learn all of these driving nooks and crannies – an encyclopaedic awareness known proudly in the trade as ‘The Knowledge’…. In contrast with noncabbies, experienced taxi drivers had a greatly enlarged posterior hippocampus … the longer the driving career, the larger the posterior hippocampus…. These data,’ concluded Maguire dramatically, ‘suggests that the changes in hippocampal grey matter … are acquired’. (The Genius in All of Us, David Shenk, pp 29-30)

 

I believe that the body contains a number of ‘computers’, and the easiest to explain is the amygdala, hippocampus, thalamus and cerebral cortex system, because it is the largest and most recent. ‘Computation’ occurs where there is grey matter, and it is present, from above, in the hippocampus and the cerebral cortex. The thalamus is, I believe, a switching device that increases the efficiency of creative thought. The hippocampus contains the ‘registers’ that store the ‘memories’, which are a set of impulses from the body’s sensors, for comparison at future times.

 

‘The brain’s amygdala aids in the creation of emotions and our ability to remember them.’ (Brain rules, John Medina, p250) This is a simple statement of, I believe, the main function of the amygdala, which is to assign an emotional label to each input from our sensors. Those elements with a high emotion attached, such as escaping a predator, finding a new area of food, remembering the social order of members of the herd are held in a register within the hippocampus. Those inputs with a low emotional attachment are forgotten.

 

Firstly, how do the nerves work. ‘6-17: Not only must fluid be free to circulate around a neuron, fluid must flow all the way out its long axon and back again in order for the life of the cell and the conditions for action potential propagation to be maintained. Nerve cells are as hydraulic as they are electrical.’ (JOB’S BODY, A Handbook for Bodywork, Deane Juhan, p 156) ‘6-14: Each action potential ripples down the surface of the axon. The advancing internal positive charge continues to open more sodium (Na+) gates. Once a local area beneath the membrane has achieved a positive charge, this charge closes the Na+ gates and opens K+ gates, expelling K+ from the cell and restoring the net negative charge. This creates the rippling motion of the action potential along the axon. It then takes about four more milliseconds for the cell to re-establish the original ionic balances, setting the trigger for the next action potential. During this time, the membrane is refractory, and cannot generate another action potential.’ (p 153)

 

‘At the synapse, where the axon of the first cell joins to the dendrite or the body of the next cell in line, this polarity reversal causes the quick release of a neurotransmitter. The most common neurotransmitter seems to be acetylcholine, although there are a number of other important ones. Once released into the synaptic cleft, this acetylcholine contracts the membrane of the next cell, with dramatic effect: the membrane, which at rest had been sixty to seventy times more permeable to potassium than to sodium, suddenly becomes six hundred times more permeable to sodium. The sodium gates are thrown open, and a volume of positive sodium ions rushes into the cell, making the interior region immediately beneath the synapse positive (+30 mV.) instead of negative (-70 mV.). The acetylcholine is immediately reabsorbed by the first cell, to be reused for the next stimulation, but the disturbance of the polarities it triggered continues along the membrane of the second cell in a self-perpetuating ripple.’ (p 152)

 

‘Grey matter’, is the term used for nerves without insulation, and these nerves have an external positive charge that tends to keep them apart. Further, ‘as neurons learn, they swell, sway and split. They break connections in one spot, glide over to a nearby region, and form connections with their new neighbors. Many stay put, simply strengthening their electrical connections with each other, increasing the efficiency of information transfer. (Brain rules, John Medina, p57)

 

The biological computer described above, shows two construction simplifications (compared to the manufactured computers that we all use). Firstly, action potentials are propagated at a constant voltage, no matter what the distance along the nerve, and secondly, new connections that are created, carry the same action potential regardless of the number of new connections. This effect of a biological computer greatly simplifies the maintenance of voltages throughout the system.

 

Further, ‘this conduction and transmission of action potentials is the only functional activity of our neurons. Their collective circuitry forms the fastest communication system within the body. Impulses ripple across their surfaces at an average of two hundred and fifty miles an hour, a speed which makes their traverses of the body very nearly instantaneous.’ (JOB’S BODY, A Handbook for Bodywork, Deane Juhan, p 155

 

So, the pulses travel from the sensor (or senses) and those with higher emotional (or importance) labels are held in ‘registers’ in the hippocampus. Thus the hippocampus is a storage area that sorts the important memories from those that are unimportant and can be discarded. So, how could the ‘strings’ of potentials be held for the long-term? ‘The hippocampus is relevant to memory formation for more than a decade after the event was recruited for long-term storage. After that, the memory somehow makes it to another region, one not affected by H.M.’s brain losses, and as a result, H.M. can retrieve it.’ (Brain rules, John Medina, p140) H. M. is a patient with hippocampus damage.

 

Thus the simplest means of forming a ‘register’, using the above, is to have a nerve transmit permanently (for up to ten years) a slowly moving (250 miles per hour) string of action potentials in a continuous loop. This simple system is expensive in energy, in order to keep the action potentials moving, and is backed up by the following. ‘The brain’s appetite for energy is enormous. The brain represents only about 2 percent of most people’s body weight, yet it accounts for about 20 percent of the body’s total energy usage – about 10 times more than would be expected.’ (p 20) If this idea is correct it points to another case of inefficiency that has evolved, and that we must accept.

 

It also appears, from above (the taxi drivers) that the hippocampus can hold vast amounts of information. Also, ‘if we take the two hippocampi to consist of roughly 10 power 4 networks of 10 power 4 neurons each, then their storage capacity is (using a Hopfield net estimate) approximately 10 power 11 bits, which is quite large, given Landauer’s estimate that we acquire only about 10 power 9 bits of information in a lifetime.’ (Memory and Dreams, George Christos, p70) . However, from above, this information is also processed before being retained with an emotive label. Thus the hippocampus is a computer, good enough to navigate the streets of London, but this is just the start!

 

‘The cerebral cortex is the layer of the brain often referred to as gray matter. The cortex (thin layer of tissue) is gray because nerves in this area lack the insulation that makes most parts of the brain appear to be white. The cortex covers the outer portion (1.5mm to 5mm) of the cerebrum and cerebellum…. The cerebral cortex consists of folded bulges called gyri that create deep furrows called sulci. The folds of the brain add to its surface area and therefore increase the amount of gray matter and the quantity of information that can be processed…. It encompasses about two-thirds of the brain mass and lies over and around most of the structures of the brain…. The cerebral cortex is divided into lobes that each have a specific function. For example, there are specific areas involved in vision, hearing, touch, movement and smell. Other areas are critical for thinking and reasoning. Although many functions, such as touch, are found in both right and left cerebral hemispheres, some functions are found in only one cerebral hemisphere.’ (Cerebral Cortex, Regina Bailey, About.com Guide) ‘Cognitive and volitive systems project fibers from the cerebrum to the thalamus and to specific regions of the midbrain. (Wikipedia, Cerebrum, Composition)

 

The important points from the above are, I believe, the cortex encompasses about two-thirds of the brain mass, it is uniform in structure and is composed of gray matter and contains lobes that each have a specific function. The thalamus is, I believe, simply a switch to transmit the parts of a memory into different areas (lobes), so that each lobe contains information relevant to vision, hearing, touch, movement etc. The cortex is a computer because of the gray matter and any ‘result’ of thinking would be (essentially) random if the thalamus did not organize the information into lobes. The thalamus creates better ‘association’ in creative thinking. For example, a sound in the night would target the sound lobe that would generate other memories of sounds in the night. The time has come to put forward the method by which I believe the brain ‘thinks’, and that will be done in the following chapter.

Chapter 9: The Brain and Mind

Chapter 8: The Brain

Chapter 8: The Brain

 

‘It is the mind that is the organizer of our health and our strength, of our associations and responses, of our thoughts, our feelings, and our tissues. The laws of physics and chemistry dictate the conditions which it has at its disposal, but so far no one has been even remotely successful in identifying any combination of these laws as the motivating factor behind the development of consciousness and behavior.’ (JOB’S BODY, A Handbook for Bodywork, Deane Juhan, p xxv)

 

So, why not make an attempt to understand the workings of the brain? A roadmap that is somewhat inaccurate is better than no map at all, and it gives someone the opportunity to amend areas at a later date. At least a start has been made even if some parts are deficient or even incorrect. Sufficient clues to the working of the brain have been published, I believe, so why not make an attempt by setting up a road-map using logical choices.

 

Firstly, a simple ‘rule’ that points the way into the world of ‘life’ is necessary to help clarify a relationship that has been on-going for 3,000 million years. It is basically, the logic that has been forced on all living things by the passage of long periods of time. Over the vast time of evolution and the vast number of animals contributing to survival of the fittest there is great pressure to increase the complexity of biochemical reactions within the body to attain goals that the organism needs to attain to stay alive, reproduce etc. in the ‘face’ of competition.

 

There is also great pressure to reduce unnecessary physical parts, if the same result can be attained another way, bearing in mind that it is necessary to build upon something that already exists. For example, the eye works well, but it does contain ‘engineering’ that could be bettered if we were to design it from basic principles instead of it evolving. For want of a better name, I will call these two statements the Rule of Life.

 

We have seen this before, firstly, iteration, provided by the world scene, and, secondly, simplicity as a basic requirement of life. This second part says that anything not used and that requires extra energy, to the detriment of the organism’s ability to compete is lost over time.

 

postscript: These two simple requirements of iteration and simplicity are actually an integral part of the ‘web’ of life and the operation of the universe, and are presented simply because there has to be a point of entry. Iteration is a Truth, in the sense of the Half-truth and provides an ‘intelligence’ that acts like a mind/brain that creates determinism in quantum mechanics and provides a direction in time.

 

‘Simplicity’ is a state in componentization that forms frictionless logic machines that ‘power’ the physical universe as atoms etc and the same logic machines ‘power’ life and Survival of the Fittest through the more successful organisms having more ‘energy’ for procreation. Together, these concepts form part of the Laws of Life.

 

It is apparent that iteration or Survival of the Fittest are means to an end, but, with intelligence, guided by a mathematics, such as the Mathematics of the Mind, the speed of evolution can be increased, wars stopped etc. as in the Survival of the Best, mentioned later, and we can turn the world into a paradise!

 

An example of the complexity of biochemistry is shown by the following list of neurotransmitters in humans. ‘Gamma-aminobutryic acid ‘GABA is an inhibitory neurotransmitter and is the most common neurotransmitter in the brain …. norepinephrine is the main neurotransmitter of the locus coeruleus. It is an inhibitory nuerotransmitter that is distinctly implicated with learning and arousal….. Acetylcholine …. is an excitatory, which is implicated with memory …. serotonin is another inhibitory neurotransmitter, whose centre is located in the raphe nuclei, in the brain stem…. glutamate, or glutamic acid is the main excitatory neurotransmitter in the cerebral cortex….dopamine is mainly concerned with the control of motor function…. histamine, which is involved in allergic reactions in the body, is also a neurotransmitter that is thought to be related to emotional behaviour…. glycine is the most prominent neurotransmitter in the spinal cord and the brain stem. It is an inhibitory transmitter. There are many other neurotransmitters, probably around thirty or more…. The brain is a complicated “soup” of chemicals, which may also interact with each other in subtle ways.’ (Memory and Dreams, George Christos, p 25-27) Thus, the biochemistry of the brain is complicated, but the principles behind the working of the brain should be simple, from the rule above, and as the brain is a computer of some type, let us look at the logic behind some types of computers.

 

(1) Mathematics of the mind: In the simplest case of two limits, chaos and a stable state, we have defined a space, and given another stable state we can move (or compare) between the two (or more), given a mind to direct the choice and a set of rules for each state.

 

(2) Computer-wise: In the simplest state a memory exists or does not exist. With two (or more) states or memories we need a comparator or register to compare them. A program directs the choice, which either needs a mind to write the program, or an evolution to derive a program.

 

(3) Biochemically: In the simplest case, positive feedback (excitation) leads to chaos and negative feedback (inhibition) to a stable state, and we have defined a space. A third factor is the synapse, and in the synapse, the strength of the neurotransmitter varies. This variation will be shown to be crucial for a number of reasons, such as the seventh sense, plasticity of the mind, the subconscious etc.

 

Surprisingly, the brain uses all three! In (1) ‘induction’ in the cortex between the patterns of memory produces ‘creative’ thoughts, (2) holding knowledge in the hippocampus and setting up the memory, and (3) the long-term memory in the cortex. Further, it should always be borne in mind that the nervous system is composed of ‘patterns’ of action potentials, which are being ‘compared’ and decisions have to be made between different states (or attractors).

 

The same can be said for this derivation in this book, in that it is an exercise in the Mathematics of the Mind. Quotes from a variety of sources are presented as patterns (attractors) and our mind ‘weaves’ between them to find a logic that each of us is comfortable with. Perhaps a creative thought might arise or previous experiences can be added to the thrust of the argument.

 

But, starting at the beginning, ‘Dale’s Law, that neurons act in either an all excitatory or all inhibitory way, is thought to be based on the fact that a neuron operates with one neurotransmitter at all its presynaptic terminals, where it communicates its signal to other neurons (Eccles 1964).’ (Memory and Dreams, George Christos, p25) For example, a neurotransmitter, if it weakens from lack of use, may not be strong enough to permit the passage of action potentials and will take that memory out of service. In other words, the memory will move into the subconscious, but not necessarily be forgotten. Indeed, the strength of neurotransmitters is at the core of our mind/brain.

 

‘Each neuron consists of a body (called the soma) and tentacles (called dendrites), which act like tree roots, seeking and receiving information from thousands of other neurons. Information is collected by the dendrites (and the soma itself) and transmitted to the soma, where it is processed. If the sum of all of these inputs into any particular neuron is of sufficient magnitude (greater than some inbuilt electrical threshold) and of sufficient synchronicity (that is, the signals arrive at almost the same time, that neuron will itself “fire”’ (p 12)

 

A program, below, directs the choice between inhibitory, excitatory and strength of neurotransmitter to produce a biological computer, but such a computer is based on patterns that change with time and the surroundings in which the animal is living and can be described by the Mathematics of the Mind. For example, my mind is putting this paper together by pulling together (hopefully relevant) patterns in the form of quotations that I have read in a variety of books and life experiences. Also, personal details will be used on occasion because my lifestyle is necessarily part of this derivation and explanation. This book is primarily a book about anti ageing, but the Mathematics of the Mind requires selecting relevant concepts spread over a wide subject range.

 

The Mathematics of the Mind is a means of using and navigating the patterns that are all around us and which change with time, and the aim is to find solutions or predictions that we can use. Mathematics is exact and unchanging, but once time is added, the situation is not static and must be used by forming a ‘prediction’. An example using the seventh sense will be given later.

 

The form of the brain is very old and very simple in (logical) design, so much so that the brain can be considered to be an unchanging ‘component’ (see below), and the basic form has remained unchanged from fish, snakes, birds, mammals, monkeys and humans. (JOB’S BODY, A Handbook for Bodywork, Deane Juhan, diagram p 169)

 

It is interesting why the brains of the creatures listed above have two hemispheres, and it is an illustration that once evolution has produced something, there is no going back and evolution has to do the best that it can. Iteration through Survival of the Fittest is mathematical, but it is a poor alternative to logic and re-design. More on this subject in chapter 12, but first, let’s start at the beginning.

 

‘In primitive coelenterates, such as the hydra, we find a cell that is both sensory nerve and contractile muscle all in one…. In more highly developed coelenterates, like the sea anemone or the jellyfish, we discover that these myoepithelial cells are differentiated into two separate elements connected together – sensory cells in the skin, and muscle cells in the deeper layers…. such a system is still purely reflex in nature … appearance of flatworms. Here for the first time we find a second layer of nerve cells interpolated between the sensory neurons in the skin and the deeper muscle cells… This is the beginning of the centralization of the nervous system, the first hint of spinal cord and brain.’ (pp 165-166)

 

‘In still higher invertebrates, such as the earthworm, the diffuse nature of this intermediate net disappears, and it is now organized into a distinct nerve cord running the length of the worm…. The overall structure of the earthworm is segmented, and each segment contains the sensory and motor neurons which directly control its sensations and functions. Where these segmental trunks of sensory and motor elements connect with the central cord, they form ganglia which orchestrate their local activities. All these segmental ganglia are connected to one another and finally to the head by the afferent and efferent pathways within the longitudinal cord, and in this way stimulation in any segment can influence movement in any other segment, while the coordination of the entire chain of segments can be orchestrated by the larger head ganglion.’ (pp 166-167)

 

‘The alpha is rooted in the surface of the more recently developed cerebral cortex; its control is more accessible to my conscious awareness, and is the avenue through which I direct voluntary commands to my muscles, such as “raise right arm”. The gamma system, on the other hand, is rooted in the deeper, more ancient strata of the brain stem that are not normally accessible to my conscious awareness, and this is the avenue through which I direct largely unconscious impulses which adjust the position and tone of my body as a whole in such a way as to correctly support my conscious, voluntary movements. For instance, ”raise right arm” cannot be smoothly executed unless the unconscious commands “brace right leg and muscles to the left of spine’ are not automatically triggered by the stretches initiated by the pulling imbalance of the extending arm.’ (p 215)

 

‘In the human being, this gamma system accounts for fully one third of an individual’s motor neurons. In most other mammals, this fraction is even larger, since their cortexes are much smaller relative to the size of their brain stems than is man’s.’ (p 216)

 

‘These latter examples of digestion and distribution are accomplished by the action of the muscles of the viscera, from throat to stomach to intestines to anus, and of the circulatory system, from heart to capillary to vein. These “smooth muscles” and “cardiac muscles”, as distinct from the striated skeletal muscles, are directly linked to the autonomic nervous system, whose very name expresses the independence from voluntary intervention that it once was thought to have. Because we normally do not consciously command the contractions and expansions of these visceral muscles, it was assumed that their healthy activities and their pathologies were beyond our conscious control.’ (pp 291-292)

 

‘The autonomic nervous system is not self-governing at all. Its functions are integrated with voluntary movements no less than with motivations and effects. In short, its roots are in the brain: one’s experiences from moment to moment dictate not only the contractions of one’s skeletal muscles but also large functional shifts in the body’s internal organs…. After all, affect and motivation find observable expression in visceral and endocrine changes.’ (p 292)

 

‘Recent experiments have indicated that visceral and glandular responses can be learned. For example, to avoid an electric shock, a rat can learn to selectively increase or decrease its heart rate, and a rabbit can learn to constrict the vessels in one ear while dilating those in the other.’ (p 293)

 

The alpha, gamma and autonomic nervous systems are ways of dividing up an entity that works together to achieve many purposes, such as to feed itself, to break that food down into energy and use that energy to defend itself, find food and so on. We know that it works, but what are its limitations? The brain can be considered to be a ‘component’, which is a machine that has the capacity to ‘always’ do the job and not breakdown or cause a nuisance, such as an alternator on a car. In fact, as will be shown later, the whole body is composed of ‘components’. This has come about because ‘while physical environments may have differed in the extreme, the conditions of selection under which humankind’s mental evolution occurred were everywhere alike’ (Race and IQ. Ashley Montagu, p 39)

 

Also, ‘known traits that were genetically changed are, as we have seen, primarily in resistance to disease and adaptation to local climates and food sources. No statistical genetic differences between entire populations have yet been discovered that affect the amygdala and other controlling circuit centers of emotional response. Nor is any genetic change known that prescribes average differences between populations in the deep cognitive processing of language and mathematical reasoning – although such may yet be detected.’ (The Social Conquest of Earth, Edward O. Wilson, p100)

 

Chapter 8: The Brain

Chapter 31: Gravity, Conservation Laws, Entanglement and Decision-making

Chapter 31: Gravity, Conservation Laws, Entanglement and Decision-making

 

Previously, it was derived that ‘we evolved reality from the probability of existence’ by using the Mathematics of the Mind. The derivation of the probability of existence, is strengthened by approaching it from another direction. The more directions from which something can be derived, the larger the number of predictions that can be made from it and the ‘better’ the theory.

 

Our universe is a closed system and we would consider that the Law of Conservation of Energy, would apply and indeed it probably does, but what is this law? ‘In physics, the law of conservation of energy states that the total energy in an isolated system cannot change – it is said to be conserved over time’. (Wikipedia, Conservation of energy) Also, it has one dimension, which is time. (Wikipedia, Conservation law)

 

It is strange that under this law, our universe would have one dimension (time) and this presumably reflects the logic that we cannot ‘see’ inside that universe and that it is, thus, indeterminant to us. Current thinking is that our reality operates under space-time and we have to logically live in a ‘conserved’ universe, else it would run out of something eventually. So, where do we find a theoretical model for a conserved space that has the dimensions of space and time?

 

On the other hand, ‘in quantum mechanics, the probability current (sometimes called probability flux) is a mathematical quantity describing the flow of probability… It is a real vector’. (Wikipedia, Probability current) This isn’t very helpful, but shows that it is used and the dimensions of the Conservation of Probability are ‘total probability always = 1, in whole x, y, z space, during time evolution’ (Wikipedia, Conservation law, conservation of probability, number of dimensions)

 

This Conservation of Probability aligns with our universe in that we have ‘in whole x, y, z space, during time evolution’. Its not quite space-time because ‘time evolution’ is the same as the ‘time passing’ that I have used previously, and it is not an interval of time. Time interval is man-made, as is space interval in ‘whole x, y, z space’. I want to point out here that we have found a ‘complete’ mathematical ‘statement’, and our world appears to satisfy part of it, but I maintain that by Occam’s razor the simplest and most logical system will probably apply ‘best’, and that is the mathematical system, and is a Truth. So, how does our view of the universe (world O) compare with the mathematical form, and if it differs, why have we complicated things?

 

The ‘total probability always = 1’ aligns with Conservation of Energy, plus has the logic that every point in the space contributes to the sum and it must do so instantly to avoid local violations. So, every point is ‘entangled’ with every other point in the space constantly and instantly to provide a constant sum of energy. How can this be? The answer is, as we derived previously, what we call gravity, which affects EVERY particle-particle, particle-energy and energy-energy reaction in the universe according to the Law of Conservation of Energy because of a simple attraction that must exist for us to exist (out of the multiverse).

 

To logically satisfy the law, instantaneous accounting must be kept, and that is done automatically because there is only a constant amount of energy/matter, and photons and matter continually change their energy, as we have seen (Pound-Rebka experiment) to keep the total energy at 1 to satisfy the Law of Conservation of Energy.

 

So, gravity is the mechanism to provide a universe that we can live in, and that attraction of gravity (between matter, energy etc.) provides a source of energy which is part of the limit 1, Conservation of Energy sets the Conservation of Probability limit of 1, and a set limit of 1 requires instantaneous velocities to be attainable, so that the limit equals 1 at all times. This effect is ‘entanglement’.

 

The statement of each ‘point’ in the field is logical, but not necessary because there is ‘nothing’ at most points, so even if it is necessary to sum every point, the ‘empty’ points would return a reading of zero. Thus it is only the ‘occupied’ points that contribute, and a macroscopic body, such as an organism contributes each particle or photon in their body and this may be the ‘sense’ that organisms have of predators, herd, prospective mates etc. In other words, can organisms ‘link in’ to entanglement to help them survive? Given so many generations over 3.000 million years, has any organism been able to use entanglement for their own use to survive better?

 

Every sense that we have evolved ‘links’ ourselves with the rest of the world. We have evolved senses to create a reality for ourselves, and our bodies have evolved colour vision etc. to lend contrast and make the reality more ‘real’. Thus, ‘we evolved reality, from the possibility of existence’ again, using a totally different method.

 

It would be a bit strange if our senses are caused by entanglement when we know that ‘seeing’ uses photons, touch uses molecule movement, hearing uses molecule movement etc., but what provides our thinking, creativity, consciousness and decision-making? I suggest that there are two processes at work here, or perhaps a ‘duality’ of sensing and of deciding whether to do something about it. We come back to world O using distance and time interval (speed) as a means of hunting and avoidance of predation (space-time), when the space is merely ‘in whole x, y, z space, during time evolution’.

 

Quantum mechanics provides ‘creativity’ in our brain/mind by producing spurious (to an extent) thoughts, or it could be said half-thoughts that are generated by induction (of action potentials) between the dendrites of the nerves within the brain and body. The compartmentalisation of areas of the brain keeps creativity ‘within the subject’ and the logic of ‘writing’ memories to the brain necessarily distorts memory because of the iterative process of laying down memories and creates, the problem of ‘when is a memory “good” enough to be retained’? (see chapters 8,9, 10 and 11)

 

‘Thinking’ is viewing the world of our ‘reality’ so that we can compare, and for that we use the senses to build a ‘picture’ that our senses ‘see’. ‘Consciousness’ is the ability to gain some idea of the outside world and our place in it compared to predators etc. To sum the above, creativity, consciousness and thinking are ‘physical’, in that they are products of (what we call, space-time), but they are ‘hanging-fire’ and can’t be implemented without one more step, and that is ‘decision-making’ which is logic.

 

Let’s put it another way. Consciousness is the ability to do something with those thoughts, and does NOT say that a photon has entered the eye, it says a photon has entered, do we do something or not do something. No computer can add two numbers unless it is told to, and we need a decision ‘key’ to act in the same way that every point in probability space changes, and that ‘key’ is logic that causes decision-making. Confabulation must have a decision attached to it, if it is to be of use, and its success is heritable, so ‘decision-making’ is the ‘over-arching’ effect of entanglement, or is it? Is there another mechanism that produces decisions? Perhaps entanglement is the calculation of energy only.

 

Many times I have written that there is a logical difference between the ‘near’ and the ‘far’, between the close friendly herd and the farther distance that holds predators and mate-stealers etc. It is now clear why there is a logical difference, it is sensing with NO decision, when close by, and sensing with the possibility of decision-making with its associated confabulation. It is interesting that the earliest senses did not use decision-making (chapter 12: Why the Brain has Two Hemispheres). Some time ago, in considering this divide in logic of the action of distance within a herd, I thought that it may have had something to do with the two hemispheres of the brain.

 

The first sense to be developed was probably ‘touch’ or pressure from a member of the group or being consumed by a predator, whilst the second would have been ‘smell’. Fish are symmetrical about the vertical plane for a number of reasons, such as they are less visible to predators at other depths, give more traction for swimming etc and they have two nostrils in their nose (as we do), and I surmise that the fish guided itself to food by following the scent intensity from each nostril. This is a simple form of decision-making, so that the fish turned left or right at the same (feeding) depth depending on which nostril was recording the strongest scent.

 

The point is that fish have ganglions (or early form of brain) behind each nostril and as animals evolved these two separate ‘brains’ became the hemispheres and are joining together, as we evolve, through the corpus callosum, which ‘is a wide flat bundle of neural fibers beneath the cortex in the eutherian brain at the longitudinal fissure. It connects the left and right cerebral hemispheres and facilitates interhemispheric communication. It is the largest white matter structure in the brain, consisting of 200-250 million contralateral axonal projections.’ (Wikipedia, Corpus callosum) White matter indicates conduction of signals with no interference from other ‘contralateral axonal projections’.

 

This indicates that organisms started with a ‘simple’ means of decision-making, and the corpus callosum is bringing the brain into a whole, but, the brain is an iterative procedure, which is a Truth, and is under the control of Survival of the Fittest. A computer is capable of decision-making if it is programmed by a mind/brain and the iteration (Survival of the Fittest) of evolution acts as a mind/brain. Thus it is likely that entanglement is not the logic needed for the Half-truth, and is a simple logical accounting system. But, it is a logic and other ‘varieties’ of logic must be supported by our universe.

 

So if entanglement does not lead to decision-making, what is the Half-truth? The Half-truth is an operator that ‘filters’ the wider ‘logical environment’ and decides whether it is always true/false, true some of the time or chaotic/indeterminate and this enables a decision to be made on the basis that a decision is possible. To make a decision is NOT an easy concept for us to imagine or accept, but that does not make it less true. The easiest way to understand it is through the fact that the number of dimensions that we use, MUST be complete for a reality. We currently use space-time that allows no logic, but logic is all around us and we use it everyday. Simple statements such as ‘if I go the store, I’ll buy vegetables’ are logic but are not integrated with space-time. The question is, why not? I suggest space-time-Half-truth would be complete.

 

To digress for a moment, because the above left me wondering, ‘if I go the store, I’ll buy vegetables’ is formal logic and how does that fit into the Half-truth? I have said that the Half-truth is complete, so there must be an answer, and a moment’s reflection reveals that it fits into the third term: it can be restated as false until you buy vegetables and true after you buy vegetables. The aim is to simplify a huge mass of formal logic, and the half-truth does that, but information is lost, just as mathematics becomes less precise when the Mathematics of the Mind is used.

 

What is the current thinking on quantum entanglement? ‘One particle of an entangled pair “knows” what measurement has been performed on the other, and with what outcome, even though there is no known means for such information to be communicated between the particles, which at the time of measurement may be separated by arbitrarily large distances.’ (Wikipedia, Quantum entanglement)

 

Further, ‘quantum entanglement is a physical phenomenon that occurs when pairs or groups of particles are generated or interact in ways such that the quantum state of each particle cannot be described independently – instead, a quantum state may be given for the system as a whole. Measurements of physical properties such as position, momentum, spin, polarization, etc. performed on entangled particles are found to be appropriately correlated.’ (Wikipedia, Quantum entanglement)

 

The above two paragraphs indicate that the two ‘particles of an entangled pair’ are entangled together, whereas we have shown that every particle must be entangled with every other particle. However, when two photons are produced they are produced in a ‘mechanistic’ way that lead to the photons having physical properties that are ‘appropriately correlated’. This correlation is sought-after by the experimenters, to study the phenomenon, and it is natural that when one is measured, the other will have the appropriate correlation.

 

The properties of the particles are indeterminate until measured, so I will repeat a previous paragraph. ‘Local realist view of causality (Einstein referred to it as “spooky action at a distance”), and argued that the accepted formulation of quantum mechanics must therefore be incomplete.’ (Wikipedia, Quantum entanglement) Indeed, I have shown that the common concept of quantum mechanics IS wrong. I repeat: it is NOT the duality of the particle and wave that is the basis of quantum mechanics (even if that was why it was set up), that is, the physical aspects of the quantum (world O view), it is the logical aspects (of world P) of providing a reference point to DEFINE the logic of measurement in order for it to be possible to determine it in some form. In other words, a duality is needed between the particle and the observer because measurement of length and time is not available in world P, as it is a probability space.

 

Thus, if a property of one particle is known, then we must know the property of the other because firstly, there is correlation, and secondly, as in the experiment mentioned previously, the property becomes determinate when a record is available that can be viewed at a later date. These requirements must be met through logic and, as above, must be instantaneous, and this assertion is verified by experiment.

 

‘Recent experiments have measured entangled particles within less than one part in 10,000 of the light travel time between them. According to the formalism of quantum theory, the effect of measurement happens instantly.’ (Wikipedia, Quantum entanglement) It should be noted that the effects of a change in the energy of any part of the universe MUST be communicated to every other part INSTANTLY, else local action occurs, which is forbidden because Conservation of Energy would be (logically) broken.

 

‘Quantum entanglement … effects have been demonstrated experimentally with photons, electrons, molecules the size of buckyballs’ (Wikipedia, Quantum entanglement) This shows that large molecules entangle and reinforces the idea the everything must (logically) be included in the summation of the Conservation of Energy.

 

We can start anywhere, because everything is related, from, as we have seen, quantum mechanics to the universe and all instantaneously! The Mathematics of the Mind is weighting the senses so that the ‘best’ action is performed to keep the organism functioning and that is Survival of the Fittest and heritable. A choice for the future entails Survival of the Best and an appropriate ‘juggling’ of the ‘parameters of life’ as seen through the senses that feed input into our mind/brain is the subject of this book. ‘In addition to the Aristotelian five, some 5 further senses have been identified over the past century. Thermoception is a sense physiologically distinct from touch which enables us to detect temperature differences – just as Plato suggested…. Sometimes also known as kinaesthesia, proprioception is the awareness of your body parts in relation to one another, and the sensation of their movement through space…. Nociception, your sense of pain….. equilibrioception, your sense of balance – the main organ for it, the vestibular labyrinthine system can be found in our inner ears. Finally, human beings possibly have a weak sense of direction, magnetoreception. In the ethmoid bone just between our eyes and behind our nose is a tiny crystal of magnetite, which is like a compass that orients us within the earth’s magnetic field. (The Wonderbox, Roman Krznaric, p 156)

 

In addition, I believe that there are three other senses within the brain, the eighth sense is the ability to know what foods are necessary to balance the diet, the seventh sense, that changes our thinking as the climate changes through the ingestion of phyto/neurotoxins, and thirdly, creative thought is the ninth sense as mentioned in the chapters on the brain.

 

The Mathematics of the mind is conceptually simple and seeks the best solution (or action) based on some combination of the senses using a logical process defined by Survival of the Fittest. The most important senses are used, with less important added to give a more and more accurate ‘answer’ or more appropriate action, which is in line with the derivation of it in this book. The operator is Truth and evolution has been used to better handle its application to ensure survival, which is heritable.

 

The Mathematics of the Mind has brought together attractors from many academic fields in the above chapter, and a prediction is necessary. ‘Over the past century, both education and work have encouraged us towards increasing specialisation, and the prevalent ideal is to become an expert who excels in a narrow area… First … division of labour … second reason is that academic learning has become extraordinarily specialised … third explanation for the cult of specialisation is that the amount of information in the world has grown so vast that it is impossible to gain deep understanding across a range of subjects or professions.’ (p 95)

 

I have always tried to be a ‘generalist’ and this book is a roadmap into a new area, that of the ‘overview’, which, as above, few are willing to explore. I said the same when I ventured into looking at the mind/brain and found that it is capable of huge ‘feats’ given a knowledge of the relationship of state of mind, nutrition and exercise that can prolong life and allow the mind/brain/body to grow with age.

 

‘Yet being a generalist should not be dismissed too quickly. During the Italian Renaissance it was considered the ultimate human ideal’. (p 96) ‘I believe that, in our era dominated by specialisation, we need to rediscover the Renaissance ideal of the generalist.’ (p 97) As ‘proof’ of that statement, none of the above, nor of the whole book is difficult, it is the fitting together of a wide range of subjects, and the fact that I found an opportunity to do this, shows a lack of understanding of the needs of the generalist versus the specialist. It is interesting that this state of affairs is occurring at this very moment as ‘bloggers’ are offering a wider view, as I am attempting to do, using internet informal publishing. Even Journals are going online and I have been told that bloggers are often a source of articles for them.

 

Chapter 31: Gravity, Conservation Laws, Entanglement and Decision-making

Chapter 30: Quantum Computing and Schrodinger’s Cat Paradox

Chapter 30: Quantum Computing and Schrodinger’s Cat Paradox

 

Up to this point I have used the word ‘measuring’ to denote the interaction of the mind/brain with world P, but that word can mean ‘measuring logically’ or ‘measuring illogically’. This distinction gives insight into world P with a little thought experiment.

 

Repeating from the previous chapter: to illustrate the current scientific thinking: ‘when individual photons are directed at a pair of slits in some otherwise impermeable material. Each slit is equipped with a detector. It has been shown that when the detectors are turned off, the photons pass through both slits simultaneously. But when the detectors are turned on, the photons must “make a choice” about which slit to pass through. This is what is meant by the “collapse” of the photon’s wave function.’ (Beyond Reason, A. K. Dewdney, p 179)

 

This again illustrates the problem when viewing word P phenomenon in the world O view, and this ‘problem’ has been cited for a century! As soon as it is accepted that the universe is a probability space supporting logic and not space-time, the ‘problem’ disappears! There is no problem because nothing is determined until the mind is engaged in the measurement!

 

It is NOT the duality of the particle and wave that is the basis of quantum mechanics (even if that was why it was set up), that is, the physical aspects of the quantum (world O view), it is the logical aspects (of world P) of providing a reference point to DEFINE the logic of measurement in order for it to be possible to determine it in some form. In other words, a duality is needed between the particle and the observer because measurement of length and time is not available in world P, as it is a probability space.

 

My little thought experiment is: if the waveform changes when the detectors are turned on, does the waveform change when the detectors are on, but return gibberish or faulty readings? We know that the waveform collapses if a record has been made, and no one has looked at the result. ‘Analysis of an actual experiment found that measurement alone (for example by a Geiger counter) is sufficient to collapse a quantum wave function before there is any conscious observation of the measurement.’ (Wikipedia, Schrodinger’s cat, Interpretation of the experiment, Copenhagen interpretation)

 

Two paragraphs above states that ‘a duality is needed between the particle and the observer’, and recording the result, even if the observer has not seen the result, the duality has occurred. I maintain that if the detector returns a random result, this duality will not occur. I could set up the experiment to test it, but let’s look more closely at the problem and see what logic can do. The Mathematics of the Mind means a range of concepts (attractors) from different parts of the book, so I’ll have to repeat certain quotations and derivations.

 

The current thinking, as above, is the ‘“collapse” of the photon’s wave function’ when the detectors are turned on does something. A photon is energy and I find it difficult to believe that it has other capacities than to contain energy, by Occam’s razor. So, what’s happening and why?

 

‘Any fully programmable computer can simulate any other such machine … conjecture is known as Church’s thesis, named after the American logician Alonzo Church…. All attempts to arrive at a definition of what it means to compute something seem to result in equivalent machines … words for the process of step-by-step development of an idea abounded: “mental process,” “effective procedure,” “algorithm.”’ (Beyond Reason, A. K. Dewdney, p 164)

 

If this quotation represents the current thinking, I have to point out that throughout this book I have been talking about the ninth sense (creativity/consciousness), which our mind/brain has had for a very long time. Computers are designed to insulate the signals that are moving around so that they are not corrupted. Our brains are designed to corrupt the signals to a certain extent, by inducing parts of inter-related thoughts into our consciousness to create ‘creativeness’, and so the brain cannot be compared with a computer. Further, the laying down of memories introduces corruption, by necessity, as shown in the chapters on the brain.

 

Looking at quantum computing, ‘given sufficient computational resources, however, a classical computer could be made to simulate any quantum algorithm, as quantum computation does not violate the Church-Turing thesis’ (Wikipedia, Quantum computer) Thus, quantum computing cannot be compared with the brain if it obeys Church’s thesis, and similar to computers, is a faster means of computing via a program. This is, of course, for the good because the brain/mind is not good at calculations, though there are certain people with computational abilities, but they are often disadvantaged otherwise.

 

The first chapter that was written, and started the concepts in this book was chapter 6: Dancing, Nutrition, Poker Machines, Philosophy and Quantum Mechanics, and it recognised the difficulty in processing logic with the brain/mind and comparing concepts together. The next chapter was chapter 7: a Mathematics of the Mind and so forth according to the numbers on the right hand side in the Index to the book.

 

Back to ’the photons must “make a choice” about which slit to pass through. This is what is meant by the “collapse” of the photon’s wave function.’ Why should the wave function collapse? Obviously something that the photon relates to, has been turned on, and is it the detectors? The detectors are space-time measuring devices designed to measure photons, so the detector is world O and P, and the photon is ‘probability energy’ in world O and P, and the detectors only exist if a brain/mind constructed them to operate in world P, and the brain/mind operates in world P because our minds are based on logic, which is the basis of consciousness, sentence making, decision making etc., and thinking, in general. In fact five ‘dimensions’ describe everything that we see, feel, think etc.

 

The detectors are an extension of us, and if we turn the detectors on, but don’t look at the results, the effect occurs, from above. This is Schrodinger’s Cat Paradox. To clarify, our mind uses the same dimension as the photon and the universe (remember that they are ALL linked) and that dimension is logic (Half-truth), and our mind, which uses logic affects the photon and universe because they are linked through the logic dimension (Half-truth).

 

In other words, the detectors are extensions of the mind and it is the mind that is in tune with the universe through logic (Half-truth) not the detectors, but we know the result is there, in the detectors, so the waveform collapses, or put another way, the Half-truth is determined. So, there is no ‘spooky action at a distance’ nor is there ‘spooky logic’, and everything is simple and logical if we go about it the correct way, and my little thought experiment is, if we don’t have ANY way of knowing the result, nothing happens.

 

postscript: In the previous chapter, it was shown that the speed of the effects of gravity were transmitted instantaneously throughout the universe because of the logical necessity that the total energy remain constant at all times. In a similar way, the speed of propagation of the knowledge of logical interactions must be instantaneous, otherwise there would be areas of different knowledge, which is illogical.

 

The brain/mind is a superlative ‘logic machine’ with creativity and consciousness built-in, which evolved over 3,000 million years and is a huge improvement on computers when it comes to logic. Computers use the logic that we program into them, and why make a computer with a brain like ours when we already have the system in place. Everything is in place, but are we using our mind/brain to its fullest capacity? I have mentioned that the mind/brain is a component, along with many other parts of the body that can handle huge increases in what we are asking of it.

 

The necessary step is to increase the load or its use slowly to build that ability. The components, like brain, muscles, balance, speed of movement etc will only be increased reluctantly because it is heritable to use the least resources to live and use the componentization for breeding. We need to improve our use of the body’s components and that will only occur through the three factors mental state, nutrition and exercise as mentioned in this book.

 

I have used examples across the spectrum, but the most ‘telling’ are those from fundamental physics because it is the place where space-time is ‘stressed’ and can’t handle the situation because it is incomplete (not to mention problems in the ‘softer’ sciences). If there wasn’t a problem with the current way of thinking, how could an ordinary person, like me, determine the speed of gravity when millions of dollars are spent on the search? This success suggests similar success in reaching solutions in the social sciences, and shows that a new mathematics is needed, a fifth dimension added and the realization that the brain and body do not deteriorate (so quickly) if treated correctly, and can improve with age!

 

Chapter 30: Quantum Computing and Schrodinger’s Cat Paradox

Chapter 29: ‘Spooky’ Action at a Distance and the Logic of Force Fields

Chapter 29: ‘Spooky’ Action at a Distance and the Logic of Force Fields

 

This subject uses much of what has gone before, but is of such importance that I feel that it needs its own treatment and be able to ‘stand alone’. Einstein is supposed to have been concerned about ‘spooky’ action at a distance as happens in ‘force fields’ such as electric, magnetic, gravitational fields. He had good reason to be concerned because to him, and others today, there is no logical explanation if you use space-time (world O) thinking.

 

The first comment is that there is a logical explanation, but it requires a slightly different logic and that is the Logic of the Half-truth that we have been dealing with throughout the book. To digress, Einstein, and others today find certain things like quantum mechanics, relativity and force fields to be very strange and, just as I did previously with quantum mechanics and relativity, I will show that a very simple logic will fix the understanding, but first, we need more attractors (concepts) and the next to consider is ‘magic’.

 

I have mentioned that reality has to be continuous and complete. If it is not, strange things happen that could be called magic and the space-time that Einstein and others used, is not continuous because it doesn’t work in the instances that I have quoted, namely quantum mechanics, relativity and action at a distance as in force fields. To make their reality complete, another dimension must be added, and that is the Half-truth. Magic occurs when logic breaks down and magic cannot exist where logic rules.

 

Everyone uses logic all of the time, but logic (true and false) is not complete or continuous and forms a reality that has ‘holes’, which means that we live in a reality that contains magic and that magic appears when we consider the edges of world O, and also in chaos or indeterminacy. ‘Theodor Kaluza and Oskar Klein made their fame among scientists by showing that recognizing the existence of a fifth dimension could solve their problems…. The answer, claim physicists, is that it is very small and curled up in a circle.’ (The Great Ideas That Shaped Our World, Pete Moore, p38) I believe that the universe has a ‘dimension’ called the Half-truth that when used, fixes ALL problems because we need five ‘dimensions’ to describe ‘everything’, including speech, consciousness, reality etc. Fields are so important that an understanding of the logic behind them is important. Notice that I said logic, and we are going to apply the Half-truth to force fields.

 

The multiverse is a space that contains all possible universes with all possible combinations of physical constants. We know that it exists because it contains our world, but what space could hold the infinite number of universes and the simplest answer (Occams’ razor) is one that doesn’t exist. Indeed, I mentioned this previously, and found that the probability of existence could be real because it is complete and continuous. The multiverse is similarly real because it follows the Half-truth, which is, that it is true some of the time because we, ourselves have a reality.

 

It has been said previously that we must have a certain level of ‘stickiness’ for accretion of matter to have occurred in the universe and to allow us to function and we call this gravity. At least two states are necessary for a system/computer/brain etc to function, and these two states we call matter and energy. Gravity occurs between matter-matter, matter-energy and energy-energy and I have no idea if each relation has the same value, but probably they do because of Occam’s razor.

 

After the Big Bang, (some sort of) potential energy condensed, space was created due to the uncertainty principle and these particles moved out through collisions and, at the same time, photons created their space and time and moved out at the speed of light (whatever it was at that time). Energy changed to matter and back again because they are the same thing, but frictionlessly. Note that in world O and P, matter is equivalent to energy, but in world O, E=mc2 because of the units that we use and we want to measure the amounts (and the c2 is there to make the dimensions correct).

 

I have to assume that the total energy of the big Bang remains constant because I do not know if the gravity interactions are equal. However, where we have gravity, potential energy is created and that potential energy increases as the universe expands. I am using the expression that a (constant) total energy of the universe equals potential energy of gravity plus any other energy. I need only those terms for this derivation.

 

Two effects from previously, ‘Pound-Rebka set up an experiment to measure the blueshift of light travelling straight down. They emitted the light at the top of a four story building and caught it in the basement.’ (milesmathis.com/pound.html) and the red-shift from the expanding universe show that photons (and probably matter) automatically keep track of their potential energy. ‘In cosmological redshift, the wavelength at which the radiation is originally emitted is lengthened as it travels through (expanding) space. Cosmological redshift results from the expansion of space itself and not from the motion of an individual body.’ (Swinburne Astrnomy Online)

 

Action at a distance, that does not require a particle to transfer something, is similar to the derivation that was used in describing relativity, and I’ll repeat it because it is so trivial, but makes a point. Whatever is around us is indeterminate to us unless we measure it and it does its own thing as it was designed (within the multiverse) to do until we measure it. For relativity, if we measure the speed of light, we find it to be c. If another observer in a moving frame (relative to us) measures the speed of light, it turns out to be c because light moves through space at a constant speed (when measured). But this (world P) effect cancels out when the two experimenters look at each other’s frame of reference, and we then have the inexplicable fact that the speed of light is the same for each observer even though they are moving relative to each other. We have to take world P into account for the context to make sense.

 

Coming back to gravity, it was mentioned earlier that force is an O world concept where a body doesn’t complete its natural path and that requires a measurement and a mind. Gravity is not a ‘force of gravity’ due to the ‘acceleration due to gravity’, but a change in potential – with a ‘spring in our step’. Gravity produces the movement of a body into a potential ‘well’ created by another body so, we can say (at this point) that action at a distance is simply a difference in potential energy able to cause a readjustment.

 

The Pound-Rebka experiment and red-shift indicate that photons are able to ‘know’ their potential at any time, and this can be generalized to include matter and we can make it easier to visualise, if we use mathematics that makes a simple context that integrates with our mind and can be applied to quanta and to the universe at the same time. I derived previously that ‘we evolved a reality from the probability of existence’ using the Mathematics of the Mind and the Logic of the Half-truth, and, as the properties of probability space are unusual, I will bring an over-arching context into the picture to aid understanding.

 

If I throw a coin it will land 50% of the time as a ‘head’ and 50% of the time as a ‘tail’ (in the limit), so the probability space that we are dealing with is:

 

.5           .5                 total 1

 

If I had a magically biased coin giving:

 

.6           .4                 total 1

 

the total would still be 1, and a probability space, such as the universe would have a total of 1 as well. Thus, if any point changed its probability, EVERY other point would change so the total is 1. This is logical in a world P that only has the ‘dimension’ of logic and any change in the value at one point is reflected in every other point in the universe. Thus, again, we see that quantum mechanics and the universe are intimately linked together.

 

So, what is this probability, a probability of? The answer is, probably (what we call) energy. The Big Bang produced a certain amount of energy, which cooled and converted to matter, produced space and time, and whilst the total energy (probably) remains constant, the potential energy increases as the ‘initial energy’ is converted to potential energy with the expansion of the universe. It should be noted that what we think of as ‘initial energy’ can also be considered to be photons and potential energy. Photons are quantised but have infinitely varying energy and potential is infinitely varying. This is important because the energy of the universe must always be 1.

 

Thus, every particle in the universe is monitored and its energy adjusted to make the total 1 for the universe. It might be hard to believe, but this has to be because it is logical and logic is the only ‘dimension’ in the universe (P). A field is defined by using a test object placed at different points to map the field and record the result, and requires a mind.

 

To give a concise answer to the question of what is a gravitational field: a gravitational field has a magnitude that we need for us to exist on our planet and changes continually so that the result is the conservation of energy over the entire universe and is a measure of the potential energy of two points with respect to a third point (potential well) and requires a mind to determine it and use it.

 

What is the current thinking on the subject of gravity? ‘In Physics, the graviton is a hypothetical elementary particle that mediates the force of gravitation in the framework of quantum field theory. If it exists, the graviton is expected to be massless (because the gravitational force appears to have unlimited range) and must be a spin-2 boson.’ (Wikipedia, Graviton) Further, ‘in physics, gravitational waves are ripples in the curvature of space-time that propagates as a wave, travelling outwards from the source. Predicted in 1916 by Albert Einstein to exist on the basis of general relativity, gravitational waves theoretically transport energy as gravitational radiation.’ (Wikipedia, Gravitational wave)

 

To condense the above: the aim, as has been stated often, is to provide a simple theory to enable our mind to confabulate faster in a modern world and the simplicity and connectivity of my approach makes it appealing in this regard.

 

Gravity is an attraction that has to be at a certain level for us to exist, and as an attraction, provides a potential energy that is governed by the over-arching conservation of energy in the universe and constantly changing at every point communicated instantly as logic. Any speed less than instant would ‘break’ the logic, also, there is no reason why this instant speed should not occur because the speed of light is the maximum speed that we can measure, as stated before, because light is our measuring rod.

 

A gravitational field is indeterminate until it is measured and requires a mind to measure two (or more) points in relation to a potential well (third point), these two (or more) points thus establish a ‘gravitational’ field.

 

Other fields, such as electric and magnetic fields would be treated similarly, but being electromagnetic would travel at the speed of light and that would make their action ‘local’ compared to the universal effect of gravity. However, the Half-truth is the ‘dimension’ of the universe and is logical, which means that any mind that accesses the universe must interact by measuring. Space-time is incomplete and formal logic is incomplete without the Half-truth.

 

 

Chapter 29: ‘Spooky’ Action at a Distance and the Logic of Force Fields

Chapter 7: A Mathematics of the Mind

Chapter 7: A Mathematics of the Mind

 

Part (1): The statement that ‘the immortality of Descartes was assured when he enunciated his Cogito ergo sum (I think, therefore I am)’, (p 511, The Material World, Rodney Cotterill) raises questions because ‘I think, therefore I am’ reads more like advertising copy than a major theory. Further, it may have some alignment with quantum mechanics, but doesn’t seem to predict anything or do anything!

Conversely, the reverse ‘I am, therefore I think’ sounds nonsensical, but is surprisingly rich under investigation.

 

postscript: the statement is actually a Half-truth, and as shown later, when we think, we create a reality because we have to measure something and we must measure something because we evolved to place a prey or predator in a space-time situation gauging safety for the organism and ‘I think, therefore I am’ reflects this, but ‘I am, therefore I think’ is a consequence of the structure of the brain, which has special quantum mechanical effects built into its structure to produce creativity, thinking etc. and uses the logic upon which the universe is built.

 

‘Afferent information originates at the various sense organs, which are divided into 5 types: touch, hearing, taste, smell and sight. To this traditional classification we could add balance.’ (P 474) The link between the 5 senses and ‘balance’ is organization, which is the purpose of the brain.

 

In other words, the five senses and an ‘organizer’ controls everything we are or do, in a ‘system’ sense. Even further, within the human brain, the motor cortex and the somatic sensory cortex lie side by side and ‘there is actually a spatial mapping of the body’s components’. (p 481)

 

This same organization of the brain is reflected in the ‘lower orders’ of mammals and chordates, even as the cerebrum becomes smaller relative to the size of the animal. A diagram (p 512) shows the similarity of the brains and the gradation of the cerebrum from human to animals to birds to snakes to frogs and to fish.

 

‘Even humans follow ALL the ‘animal, vegetable or mineral’ of the world in a ‘computer-like’ program called ‘life’ in ‘iterations’ of continuous ‘survival of the fittest’ in the Darwinian sense. We even contain within our cells other, ‘complete organisms’ to help us compete better, called Mitochondria ‘which do show a striking resemblance to the bacterium Paracoccus denitrificans’ (p372).

 

Even the simplest elements and chemicals ‘think’, in a ‘system’ sense, driven through quantum mechanical patterns to find the lowest energy states, such as in the molecule H2 or O2 etc, similarly there is a probability of finding an electron in a ‘classically impossible’ position called the tunnel effect etc. Thus the phrase, ‘I am, therefore I think’ seems to be consistent with the world around us, so, as to formulating a prediction, one must ‘construct a bottom-up picture of events. Only then can one appreciate the remarkable fact that complexity can be the result of basic processes that are relatively simple’ (p 405). The prediction is, that everything that, to us, ‘is’ is bound by a set of constraints imposed by our senses, and to ‘appreciate’ ‘new things’ we need to ‘expand our senses’ by using new methods, such as microscopes, telescopes, echo location in bats etc.

 

postscript: we expand our senses and create reality by measuring or cataloguing that that we see. Whatever we see was indeterminate until we saw it and followed its own particular rules, which are, but are not, our rules of physics. We (all organisms) see the same reality because we all have the same architecture in the brain because we need to sense other organisms. An organism that cannot sense another organism is quickly eliminated by predation and this is heritable.

 

However, this is precisely what we have been doing for 3 billion years, and is the source of life’s success! Further, this is precisely what has been happening since the ‘Big Bang’.

 

Conclusion: The above derivation shows that some parts of Philosophy must be time or knowledge dependent, because Descartes’s statement has been accepted for hundreds of years! But, thinking about it, that is obvious, because time and knowledge change the way we interact within our society, and Philosophy is supposed to bring ‘awareness’ to society’s problems, based on the current state!

 

Part (2): Given that all things ‘think’ within their limitations, the question then becomes, what do they think about? I suggest that the vast majority of thoughts pertain to survival of the organism and those few thoughts that cannot be traced to having an end with survival as its ultimate aim, are irrelevant. Notice that I am including all organisms, molecules, elements and sub-atonic particles etc within ‘all things’. ‘Some physicists today are like animists in that they believe everything that exists is alive. It is a sense of our unity with a living universe, the feeling that we are all just parts of that greater life, which is basic to animism’ (Sharmanism, Shirley Nicholson, The Ancient Wisdom in Sharmanic Cultures, interview with Michael Harner) However, it seems to stretch the point that humans ‘think’ in the same way as a molecule, but it is true.

 

postscript: the above paragraph uses the word ‘think’ which is a Half-truth. Thinking by an organism creates a reality around the organism through its senses and (if they can be) are recognised by the organism. An inanimate thing ‘thinks’ by feeling the universe, such as its continually changing potential energy as it moves around the universe. The colour of a photon is indeterminate but changes until it is absorbed and its colour measured. The universe is probability space with a logical ‘dimension’ called the Half-truth and it needs space-time (which is our brain) to determine it.

 

Offspring can be generated and turned out to battle for a place in the world, such as turtles, bacteria etc, or they can be nurtured by the parent until they can fend for themselves. Then they are dependent on the environment and it’s food supply. Thus, every organism currently alive, due to survival of the fittest, is the best possible at that particular time given the food supply, local climatic conditions etc.

 

Humans are no exception, except that the Neolithic saw us change our environment much more quickly by developing farming. This change would have been relatively gradual over time, as we took other species with us in a progression from hunter gathering to ‘plant and gather’ to ‘living in one place and farming and gathering’ to true farming. The co-opted animals started with dogs, horses, cats etc and the easily propagated fruit plants such as grapes, walnuts, apricots etc. ‘Agriculture has always been an unnatural business’ (50 Genetics Ideas, Mark Henderson, p 128)

 

At this point our genes reflected the local conditions and were set by the local conditions through survival of the fittest. Our genes would change as our food supply changed, gradually. However, with the rise in farming and technology, which occurred at a ‘fast’ rate our genes were left behind. Obviously farming has been successful, but, we now face over-population, global warming and a host of medical and lifestyle problems. We owe our success to the rise in technology, but how do we control the technology that threatens our existence so that we maximize our gains? This is a problem that needs a consensus that a Philosophical Mathematics can give us, because it is based on a logic the everyone can accept. The following will attempt to answer this problem.

 

Part (3): ‘A number system is a method for handling the concept of ‘how many’‘. (50 Mathematical Ideas, Tony Crilly, p 8) This presupposes that each ‘thing’ counted is similar enough to be lumped together. This is very restrictive! What we need to do is ‘sum’ a set of conditions or patterns. This could be done by ‘summing’ a set of matrices with a huge number or elements, or by using a ‘wave function’. Both of these could effectively ‘access’ infinity.

 

It is easier to consider quantum mechanics. ‘Schrodinger showed that the variation of electron probability density is characterized by nodes. …… In three dimensions there are nodal surfaces at which the electron probability density is zero. One thing that can be stated immediately: because an electron must be located somewhere or other in space, there will be a nodal surface at infinity’. (The Material World, Rodney Cotterill, p 47)

 

Thus all matter (and energy, as E=mc2) have probability densities extending to infinity, and the ‘patterns’ are fundamentally similar. For example, in graphical form we need to ‘sum’ patterns A, B, C, D, E and F.

A

E

F                                                              =   ?

C

B                 D

 

These patterns are only ‘determined’ when someone recognizes them as patterns, otherwise they have no relevance, as is similar in quantum mechanics. Also, the Heisenberg ‘uncertainty principle’ ‘is the general problem that confronts any attempt at simultaneous measurement of two properties, such as energy and position, of particles having atomic dimensions’. (p 38) Putting the two factors of position and time into the context of patterns, this suggests that each pattern should contain the element of time and cause the equation, above, to add another dimension.

 

This aspect of time difference is crucial because our social problems started to escalate around 10,000 years ago and continue to the present, whilst our bodies (but not our minds, as will be seen later) are genetically mired at the former time. Thus, technology is ‘advancing’ quickly, whilst our bodies are still expecting the Palaeolithic lifestyle.

 

Mathematics treats patterns in a simplistic way by extracting an ‘essence’ that can be generalized and simplified into a ‘tool’. For example, the set of circles yields ‘pi’ and the set of right-angled triangles yields ‘square roots’. Further, ‘the mathematical message is that this limit, which mathematicians call e, is the amount $1 grows to if compounding takes place continuously’. (50 Mathematical Ideas, Tony Crilly, p25) Also, ’the prize for the most remarkable of all mathematics …

 

i x pi

e                       +     1   =   0

 

is a result attributed to Euler’. (p 27)

 

Further examples of patterns are the Fibonacci series from the ‘problem of rabbit generation: mature rabbit pairs generate young rabbit pairs each month’(p 44) which leads to the ‘golden ratio’, the cattle population problem …….. intermediate stage in the maturation process as cattle pairs progress from young pairs to immature pairs and then to mature pairs’. (p 47) This leads to the ‘supergolden ratio’. Both of these ratios can be found via the ‘golden rectangles’.(p 48-51)

 

Lastly, ‘Pascal’s triangle is famous in mathematics for its symmetry and hidden relationships’. (p 52) In particular, ‘if we substitute 1 for the odd numbers and 0 for the even numbers we get a representation which is the same pattern as the remarkable fractal known as the Sierpinski gasket’. (p 54) ‘The formula which generated the Mandelbrot set was simply x2+c’. (p 101)

 

The first formal attempt to solve general problems was called Philosophy, which through a plethora of subjects has blossomed in the world that we know today. ‘By the Renaissance mathematics had achieved a level of development far beyond the practical problem solving needs of finance, architecture, or engineering. As it freed itself of functional applications, the discipline grew in complexity and nuance and became a branch of knowledge with one foot in philosophy and one in science. (P98, Numbers, the Universal Language, Denis Guedj)

 

To restate the above, I would like to use Philosophy at the time of its ‘golden age’, 3000 years ago, when it was much ‘simpler’ than today, to solve ‘social’ problems that have developed over the last 10,000 years. To do this, we need to solve some sort of pattern equation that will indicate a set of ‘solutions’.

 

Part (4): Firstly, I will indicate the general solution of the equation and then give an example of its use in ‘solving’ a problem. Unlike traditional mathematics, which provides an answer that is the same each time the problem is looked at, there will be changes in the solution because of time dependent and possibly ‘chaotic’ influences, if for no other reason than that time has passed between solutions. In other words, traditional mathematics is time independent.

 

Not only is traditional mathematics time independent, it aims for a ‘unique’ solution. In certain dynamic systems there can be a set of ‘attractors’ to which the particular system tends depending on certain initial conditions. Each ‘attractor’ may be thought of as a ‘solution’ of some sort, that we wish to ‘balance’ with other ‘solutions’ for an ‘acceptable’ solution at some time and place. The mathematics that I am describing is navigating the space between the ‘solutions’ or ‘attractors’ according to an external set of rules that changes with time.

 

As in the case of dancing and poker machines in chapter 6, one attractor may be a dance hall and the other a casino, but there are a set of restraints such as noise, opening hours, licences etc. determines the ‘mix’ that is acceptable in a club situation and this changes with time and location.

 

The general solution:

 

(1) take any ‘situation’ to bring the problem into our ‘perspective’, because everything is linked. However, the closer to the problem, the easier the derivation, but the greater the chance of over-looking relationships.

 

(2) ‘disturb’ or ‘stimulate’ the patterns by using a simple ‘change’ formula composed of (a) the change ‘scenario’, (b) the change ‘agent’, (c) the change ‘director’, and (d) the ‘carrot/stick’.

 

Any change will be resisted, so the change scenario will (most probably) be resisted. Thus a change agent is needed with the authority to implement the change. But, similarly, the authority will resist the change. Hence the change director is the implementor ‘of last resort’ and if he fails to apply enough pressure, nothing will probably happen.

 

The carrot/stick is a set of situations that will force the change agent to effect the change, either by the change director providing a ‘carrot’ to promote the change, or a ‘stick’ to force the agent to act.

 

(3) The change director has to decide whether the possible changes (under consideration) satisfy ‘theory’ theory. This is simply that a ‘new’ theory has to explain all current manifestations and provide a prediction.

 

(4) These predictions (or set of predictions) are our solutions.

This ‘general solution’ is mathematical, but uses ‘Change theory’ from Business Studies and ‘Theory theory’ from science. It is very simple, but then consider Occam’s Razor and 3,000 million years of evolution honing the system to be the most efficient possible. “When we talk about mathematics,” [John von Neumann] wrote towards the end of his life, we may be discussing a secondary language, built on the primary language truly used by our central nervous system.” (The Shallows, Nicholas Carr p 176)

 

Part (5) The example:

 

I have to admit that the above doesn’t make much sense, but an example will show how simple it is! Firstly, the basic problem is to keep the patterns ‘separate’ and to this end, I have used several type-faces to make it easier, and this was done in chapter 6.

 

postscript: chapter 6 reads like a normal derivation, which it is, but it was written before this chapter. The postscript is to be read after the whole book has been read, so that these comments are relevant, but will only make sense when the book has been read. The comment is that whilst chapter 6 appears normal, the act of thinking, and all the other language words, thoughts, nouns, verbs etc. is the fifth dimension, which is the Half-truth and is the dimension of the universe that we use without acknowledging it.

 

Secondly, the example starts off with a remark, and ends with a surprising number of ‘solutions’ both to my problem but also shows the need for more government control of clubs. This effect is a ‘form’ of quantum computing.

 

Thirdly, the initial ‘problem’ is linked to a simple means of controlling poker machine use in the community, and a means of increasing the well-being of the public!

 

The ‘psychology’ behind the urge that some people have to put their life savings through the machines must be known to the makers of the machines, but it is definitely not known in the wider world! Andrew Wilkie used his balance of power in the Parliament to try to limit people’s losses and he did not succeed as he had hoped! The solution is obvious when it is pointed out! But, not obvious is the additional requirements that must be satisfied to produce that solution, and they may be none, one or more!

 

Lastly, the example shows how some clubs may be taking advantage of their members, in way that the ACT politicians should do something about.

 

 

 

Part (6): A quick over-view of the brain to show how its working relates to the mathematics above:

 

As mentioned above, natural selection has honed living organisms to be extremely ‘efficient’. Indeed, ‘perhaps the biggest surprise to emerge from this work has been the indication that the human genome comprises only about 30,000 different genes’ (Cotterill p 365).

 

Using ‘the Shallows’ by Nicholas Carr, ‘the chain of linked neurons form our mind’s true “vital paths”. Today, scientists sum up the essential dynamic of neuroplasticity with a saying known as Hebb’s rule:”Cells that fire together wire together”’. (p 27) ‘Evolution has given us a brain that can literally change its mind – over and over again’. (p 31) ‘Their brains had changed in response to actions that took place purely in their imagination – in response, that is, to their thoughts’ (p 33)

 

Consider Artificial Intelligence, “every aspect of learning or any other feature of intelligence can in principle be so precisely described that a machine can be made to simulate it.” (P 175) This is ‘a fallacy born of our desire to explain phenomena we don’t understand in terms we do understand. John von Neumann warned against falling victim to this fallacy’. ‘Whatever the nervous system’s language may be, “it cannot fail to differ considerably from what we consciously and explicitly consider as mathematics”’. (p 176)

 

postscript: the logic of the nervous system is based on the fifth dimension (Half-truth), which is the dimension of the universe and is a logic dimension which our mind uses to create language and anything logical. The Mathematics of the Mind uses the five senses, but mathematics dispenses with the mind’s logic by using a set of theorems and placing the mind outside of mathematics. Formal logic is similar and only uses part of the Logic of the Half-truth.

 

“Every indication is that, rather than a neatly separable hierarchy like a computer, the mind is a tangled hierarchy of organization and causation. Changes in the mind cause changes in the brain, and vice versa”. (p 176) “Short-term memory produces a change in the function of the synapse, strengthening or weakening pre-existing connections; long-term memory requires anatomical changes”. (p 185) ‘An implicit memory “is recalled directly through performance, without any conscious effort or awareness that we are drawing on memory”. ‘Explicit memory encompasses everything that we say we “remember” about the past’. ‘Consolidation of explicit memories involves a long and involved “conversation” between the cerebral cortex and the hippocampus’. (p 188)

 

‘The hippocampus …. an important role in weaving together the various contemporaneous memories – visual, spatial, auditory, tactile, emotional – that are stored separately in the brain but that coalesce to form a single, seamless recollection of an event’. ‘Many of the connections between memories are likely forged when we’re asleep’. (p 190)

 

‘Biological memory is in a perpetual state of renewal’ (p 191) ‘With each expansion of our memory comes an enlargement of our intelligence. (P 192) ‘The Web is a technology of forgetfulness’. (p 193) ‘To have the self-awareness and the courage to refuse to delegate to computers the most human of our mental activities and intellectual pursuits, particularly ”tasks that demand wisdom”’. (p 208)

 

postscript: it will be seen later, that the computer wiring is insulated, whilst the wiringof the brain allows leakage of thoughts (stimulation of action potentials in adjoining dendrites) to produce creativity.

 

 

Clearly, from the above, we are what we have learned and experienced and our senses are continually updating our brain and we remember what we choose to remember allowing for the fact that ‘nature and nurture “actually speak the same language”’ (p 28) In other words, our memories are patterns which change in time, can be implicit or explicit and coexist with our sensory inputs.

 

’ “Stationary or unchanging objects become part of the scenery and are mostly unseen. But as soon as “something in the environment changes, we need to take notice because it might mean danger – or opportunity.”’ (p 64) Movement is seen through the eyes and brings a pattern to mind and the patterns within the explicit memories decide on the outcome and the implicit memories within the body, brainstem and spine move the animal in response. Similarly, routine pursuits such as driving a car, playing a musical instrument or dancing etc frees the mind to a limited extent.

 

Thus the working of the mind, which encompasses the brain and the body, does not conflict with the mathematics above. A change to one of the senses initiates the sequence, the mind determines the action, the agent is survival, the director is life or death, and the carrot/stick is food/safety.

 

A couple (for want of space) of predictions emerge, such as the futility of looking for intelligence via computers when the human brain has so much potential and the ‘Mozart’ effect where the young brain is extended by application and the resulting (possible) detriment to the individual, and so on into more philosophical questions.

 

Part (7):

 

(1) The above chapter is another example of the general form of the solution, in that it starts at a point, Cogito ergo sum (I think, therefore I am), and ends with a set of solutions to diverse problems, as shown below.

 

(2) ‘Philosophical mathematics’ is a means of getting everyone (especially between countries) to agree on ‘something’, using the techniques of science and logic.

 

(3) Time changes the patterns and so the ‘answers’ change. There are no axioms or derivations on which to build. Even Cogito ergo sum (I think, therefore I am), which has been accepted for hundreds of years has reached its ‘use-by date’ because of increased knowledge.

 

(4) There is a lot for Philosophers to do in guiding modern society, especially in the light of changing patterns, as in (3). Untold generations under survival of the fittest conditions over 3 billion years have produced a mind that ‘works’ using a ‘mathematics’ that can be ‘extended’ to help solve civilization’s problems, so that everyone can agree, on the basis of logic and philosophy that a ‘set of actions’ should be implemented to maximize the world’s population’s ‘situation’ at the present and for the future.

 

 

postscript: it is important to remember that the Mathematics of the Mind arranges the concepts as attractors (or columns), and the contexts as ‘scissors’ that trim the columns to remove the unwanted parts, leaving the most relevant to be considered by the mind as well as applying the other rules.

 

What are we doing? Mathematics strips away the context and misses out on the understanding behind the measurement or result, and chapter 28 shows how fundamental physics changes when another view is taken. To indicate the power that context has within the brain, I would like to offer the following quotation.

 

‘But the most striking finding of all from these early studies of chess experts was their astounding memories. The experts could memorize entire boards after just a brief glance. And they could reconstruct long-ago games from memory. In fact, later studies confirmed that the ability to memorize board positions is one of the best overall indicators of how good a chess player somebody is. And these chess positions are not simply encoded in transient short-term memory. Chess experts can remember positions from games for hours, weeks, even years afterward. Indeed, at a certain point in every chess master’s development, keeping mental track of the pieces on the board becomes such a trivial skill that they can take on several opponents at once, entirely in their heads.

 

As impressive as the chess masters’ memories were for chess games, their memories for everything else were notably unimpressive. When the chess experts were shown random arrangements of chess pieces – ones that couldn’t possibly have been arrived at through an actual game – their memory for the board was only slightly better than chess novices’. They could rarely remember the positions of more than seven pieces.’ (Moonwalking with Einstein: The art and science of remembering everything, Joshua Foer, p 65)

 

‘The chess experiments reveal a telling fact about memory, and about expertise in general: We don’t remember isolated facts; we remember things in context. A board of randomly arranged chess pieces has no context – there are no similar boards to compare it to, no past games that it resembles, no ways to meaningfully chunk it. Even to the world’s best chess player it is, in essence, noise.’ (p 65)

 

Obviously something happens when we add context, and this brings to mind the Philosophers’ stone, where, if the success of the technological side could be augmented with context to invigorate the social side as mentioned previously, the flowering of technology might be brought to bear on the social side that the world needs. That is the purpose of the Mathematics of the Mind.

 

postscript: it is shown in the postscript of chapter 2 that three space, one time and one logic dimensions define everything, in my opinion. They are the space-time dimensions of our world and the logic (Half-truth) of the universe, which of course contains us, and for simplicity of use, everything may be thought of as forming a trinity, for similar reasons to that described in the Bible, which predated mathematics, and by necessity used a Mathematics of the Mind, as above.

 

Chapter 7: A Mathematics of the Mind