Thursday, June 28, 2018

Three Paradigms, One Truth

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Overview

Mankind’s search for truth has never been more urgent than it is now.  We have taken into our hands the power to make of earth a paradise or a hell.  We must choose a path, and soon.  Do we have the wisdom to choose wisely?

There are many paths to choose from, including political, economic and social avenues into the future.  One path is that we do nothing, and allow events to unfold as they will, but as events become more complex and dangerous, the path of doing nothing is almost surely one that leads off a cliff.

Whatever path we choose, it will rely on an underlying truth, a philosophy, a paradigm.  Some say there is no truth, others say there are many truths.  Neither of those lights the way through the darkness.  There is truth, and it is the one truth, our only hope.  What is it?

This commentary will deal with the three major paradigms, the three that are most familiar, and which are most supported by fact, reason, and human nature.  They are known by many names, but we will simplify.  They are the paradigms of the physical, the divine, and the mind.

1.        The physical paradigm, which we will refer to as physicalism, is probably the most familiar.  It deals with the physical world as we see it, and as science describes it.

2.        The divine paradigm describes the physical world as the creation of God, and proposes a larger world of spirit.  We shall refer to it as the God paradigm, and abbreviate it as TGP.

3.        The mind paradigm is the least familiar to most Western people, and therefore cannot be adequately summarized in bullet statements.  It proposes a universal, collective consciousness of which we are all a part.  Some proponents hold that consciousness is the only thing that exists.   Others say that everything that exists is dependent on consciousness.
 

The Physicalist Paradigm

According to physicalism, the only thing that exists is physical reality.  There is nothing else.  Human beings are unintended byproducts of physics.  Physicalism denies the existence of God, soul or spirit, and regards life as nothing more than a chemical process.  It defines consciousness only in terms of its external appearance, but offers no explanation of our inward experience of consciousness.  Physicalism denies that we have free will.  According to physicalism, free will is an utter impossibility, since it could override the inexorable chain of cause and effect, a chain which physicalism requires, else it fails to be true.
 

The God Paradigm

Most Western people today are familiar with the concept that the Supreme Being created the world and all that is in it, including us. God is all powerful and all knowing.  The specific God paradigm discussed in this commentary is the one expressed in the Bible, as taught by Evangelical Christians, and as more specifically elucidated in the self-published book by this author, titled, The God Paradigm.
 

The mind paradigm

This one is the least familiar to most Western people, and will therefore require a more extensive explanation.  There are various schools of thought within the mind paradigm.  They incorporate a way of thinking that is more like the Hindu-Buddhist-Taoist philosophies of the East, than to Western ways of thinking.  The basic idea is that, the only thing we really know of a certainty is that we are conscious.  We have conscious experiences.  If we accept only physical terms, our experiences come to us from physical sources, through our nervous system, and into our brains—but some versions of the mind paradigm reject all that, and skip directly to the conscious experience itself.  Our conscious experiences are said to be solely the product of vibrations within the universal, collective consciousness itself.  Each of us is a part of that collective consciousness, but only temporarily separated from it.  Eventually, in some versions, we will all melt back into it.

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Chapter 1—Physical Reality

It would seem that there is very little to explain.  Each day, our lives are dominated by physical necessities.  We must breathe air, drink water, and eat food.  Otherwise, we perish.

But, in fact, there is very much to explain.  Physical reality is the subject of physics, and related sciences.  It tells us that the world is made of substance, existing within space, and acted upon by natural forces.

Physicalism is not the same as physics.  Physicalism is a philosophy, and the one which dominates the thinking of many premier scientists.  According to physicalism, everything in physical nature can be explained by—and only by—other things in physical nature.  There is nothing else, only physical nature.

Physicalism does not attribute to the universe any supernatural concept of planning, purpose or meaning.  And while the question of origins is investigated by scientists, it is taken for granted that if nature did have a beginning, it came about by natural means, even if we can never know what those natural means were.

In physicalism, human beings have no special place.  We are incidental byproducts of nature.  The late paleontologist George Gaylord Simpson, is quoted as having said that, “Man is the result of a purposeless and natural process that did not have him in mind. He was not planned.”

All of this was, for centuries, the accepted view of many scientists.  For centuries, physical science grew in prestige and credibility as, one by one, it showed that natural phenomena were explained by other natural phenomena.  Volcanoes and thunderstorms could be explained without reference to any God or gods.  Moreover, physical science was applied to the invention of wondrous new gadgets, from the steam engine to nuclear power.  Today we live in a world in which small children grow up using computers and cell phones, traveling in automobiles and airplanes, and being protected from the ravages of terrible diseases that once devastated entire populations.

Any challenges to physicalism are often met with condescension, ridicule or even scorn.  Whenever religion or philosophy presents any challenge to physicalism, the physicalists are sure to mention technology as overpowering evidence that they are correct.  With all this, it seems that physicalism wins, hands down, no contest.

But wait—not so fast.  In a sense, science itself has begun to undo the physicalist paradigm.  The first hints that something might be fatally flawed in conventional physicalist thinking came from the early twentieth century findings in a new science called quantum physics (often called, quantum mechanics, or QM).

QM’s experiments introduced radically new ways of thinking into the institutions of science.  They came roughly concurrently with Einstein’s theories of relativity, which also shocked scientists into new ways of thinking.

Suddenly, space and time were no longer seen as the separate settings they once had seemed, settings within which the actors of nature moved about on the cosmic stage.  Relativity made space-time and energy-mass into very strange components of the universe.  No less a shock came from QM.  Perhaps the iconic theory of QM was the Uncertainty Principle, which relies heavily upon a form of probability that had never before been encountered.

The uncertainty principle says that the location and velocity of an electron cannot both be known at the same time.  The key point in this principle is not that our methods cannot reveal both of these things at the same time, but perplexingly, that they do not both exist at the same time.  The more velocity an electron has, the less precise its location actually is, and vice versa.  No amount of measurement, no matter how accurate, can reveal both at the same time, because the more of one there is, the less of the other there is.

But, you may ask, if an electron with a known velocity does not have a precise location, then where is it?

That is where this new form of probability enters the picture.  Our normal experience with probability can be illustrated with a deck of shuffled cards.  If we guess at which card is now on top of the deck, we have a small chance of being correct.  But, we can cheat, and look at the top card, and know what it is.  Our inability to know before looking was not because the card itself was uncertain—only in our mind were we uncertain, but in a manner of speaking, nature knew exactly which card was on top.

But the inside of an atom is such that, not even nature knows where the electron is.  It is not in any precise location until the instant it is detected.  Before that, the electron is a cloud of probability.  It could be anywhere.  Once detected, its probability collapses into certainty, into a known location.

If there were such a thing as a quantum deck of cards, even cheating would not reveal which card was on top of the deck.  The cards would have no specific identity—they would be a fog—until we looked, and at the instant we looked at a card, it could become any of the cards, not just the one we previously cheated with.  It would be as if all the cards were being constantly shuffled.

Thus, we have two different kinds of probability.

The actual location of an electron, before it is detected, is a probability wave.  The wave is tall in the center, and then decreases as one gets farther from the center.  At the center, there is a high probability that the electron will be found there.  The farther one is from the center, the less likely that the electron will be found there, but the probability never falls to zero, not until the probability wave is collapsed by measuring it, at which time the location of the electron becomes a certainty.

Remember that the probability wave is not like the probability of finding a card in a deck.  Nature always knows where every card is.  But nature does not know where the electron is until its probability wave is collapsed.  There literally is no “where,” no specific location.

It is this pure form of randomness, as opposed to the pseudo-randomness of the cards, that is at the core of quantum theory.  It is so revolutionary that not even Einstein agreed that it could be real.  But every experiment designed to disprove QM has either failed to do so, or instead supported it.

The famous double-slit experiment (DSE) has been repeated numerous times, to illustrate quantum uncertainty.  More specifically, the DSE at first sought to discover whether the electron is a wave or a particle.  The answer astounded scientists, for the answer to the question depends on whether the electron’s path of travel is observed or not.  When we are looking at an electron as it travels, it behaves as a particle.  When we are not looking at its path of travel, it behaves as a wave.

What this did to physicalism was to challenge its dogma of everything being composed only of substance.  Human consciousness suddenly became not a philosophical mystery, but a fundamental fact of nature, a factor that operates as a sort of force, measurable and subject to repeatable experiments by skeptics.  Human consciousness can dictate the behavior of electrons. 

The problem for physicalism then became to explain consciousness in physical terms.  The problem is all the greater, because we do not experience consciousness in objective physical terms, but rather, subjectively.  Our inward experience of consciousness is very real, having physical effects, but it is without physical explanation.

Nor do the scientific problems for physicalism end there.  They become only greater.  Quantum randomness, it seems, operates not only at the smallest scales, those of the atom, but also at the largest scales, those of the entire cosmos.

The problem that plagues physicalism at the cosmic scale is something called, the Fine-Tuning Problem.  The universe is structured around a set of mathematical values called constants.  The gravitational constant determines the strength of gravity.  The lightspeed constant sets the speed of light.  Other constants determine the strength of forces holding atoms together.  Altogether, there are 27 physical constants that define the physical properties of the universe.

One way of thinking about this is to imagine a large jet airliner.  There are a number of physical values that have to be present to allow the aircraft to fly.  The wings must be of a certain shape, of a certain strength, and of a certain size and weight.  The engines must be made of the right materials, organized into the precise arrangement needed to power the aircraft.  None of this can be left to chance.  Change any one of the 27 most critical parameters of the aircraft, and it will either perform very poorly, or more likely, never be able to fly at all.  No jet airliner could be produced by chance alone.

Yet, according to QM, the values of the constants that define our universe are indeed left to chance, quantum chance, determined entirely at random.  Even the physicalists recognized that this could not be.  The chances of our universe forming at random, and yet having more precision than any jet airliner, are less than the chance of randomly selecting one particular grain of sand on the entire earth—a statistical zero.

This scientific fact led to what physicalists rejected as a very unscientific theory, the theory of Intelligent Design (ID).  According to that theory, the universe was designed by God, or at least by a creative force which seems to be God, a force that exhibits intelligence and intent, as well as being all powerful.

Physicalists would not accept that, and instead developed a theory that is both unscientific, and has less evidence for it than does ID.  What the physicalists say is that, even if the chances of our universe having the exact set of constants needed for it to support intelligent life, civilization and technology—even if those chances are less than one in a kazillion kazillions—that result can be achieved—at random—if you have an unlimited number of universes.  If so, then the chances of our universe being formed become dramatically large, approaching one hundred percent.

They call this, the Many Universes Theory, or the multi-verse.  This theory proposes that there are vast numbers of universes, perhaps infinites of them.  With so many universes, it is not surprising that one of them is exactly right for life, just as our universe is.  Problem solved, right? 

No.  Not only does multi-verse theory not make our universe more probable, it makes it less probable.  Here are two reasons why.

1.        In order for randomness to operate, it requires nonrandom parameters.  We can show this by posing a simple situation, the roll of a die (singular of dice).  What are the chances that a die roll will land as a “six?”  Is it one in six?  Trick question!  What if the die has only four sides?  What if it has more than six sides?  Dice are not produced at random.  They are intentionally designed for a purpose, not with just any number of sides, but with a number of sides decided by the maker.  Our universe has 27 constants.  If the values of those constants are within certain ranges, why those ranges, and not greater or smaller ones?  And why does it have 27?  Why not more, or less?  No matter how you try, you cannot avoid intelligent design.

2.       If our one universe is so unlikely to exist based on chance, then how much less likely is it that a multi-verse can exist?  How many parameters does it have?  What are the ranges of its values?  And is the supposed multi-verse itself just a small part of an even greater structure of mega-multi-verses?  How many levels of multi-multi-verses will it take to produce our one universe?

Some very esteemed scientists have proposed that there are an infinite number of universes.  But if so, then the absurd result is that, as one scientist said, “Anything that can happen, must happen, and it must happen an infinite number of times.”

This is, if one thinks about it, the same as saying that nothing ever happens.  If the coin lands both heads and tails, then flipping it has produced no result.

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Chapter 2—The God Paradigm

Billions of people believe that physical reality was created by God, or a god or gods.  But are they right?

Instead of leaving it to chance, many people believe that, as Genesis 1:1 says, “In the beginning God created the heaven and the earth.”

The God paradigm does not deny that physical reality exists.  It simply says that physical reality is not all that there is.  There is a higher order of reality.

There is a physical basis, in addition to a spiritual one, to support the claim that the universe is designed, intelligently and purposefully, by the Supreme Being, the Creator.  The most obvious one is that the universe looks like it was designed.  It is so finely tuned to support life, civilization and technology, that the most obvious conclusion is that the universe is the work of God.

However, since physicalism avers that it all came about by chance, after kazillions of rolls of the dice, it is necessary (to satisfy the physicalists) to mention three things for which physicalism has no explanation.  These are:  life, consciousness and free will.

--1-- Life.  But, wait, you say, the science of biology has adequately explained life as a chemical process, hasn’t it?  No, it has not.  Biochemistry describes the mechanics of living creatures, but it fails to explain numerous facts about living things.  While the concept of a life force has been discarded by science, it becomes clear from physics and cosmology that the entire universe is a life force.  This can be shown to be true, because everything about the physical universe is precisely and exactingly fine tuned to bring about living things, and to sustain them and support them.  Even with all that we know about physics, there is nothing in science that makes life a necessity.  TGP says that life is not a byproduct of the universe, but that it is a fundamental reality, a basis around which the universe is designed.  Physics does not give rise to life, but rather, in a sense, it is the other way around.  But there is more, because life is the basis for our consciousness and free will, two realities for which physicalism has no viable explanation at all.

--2-- Consciousness.  If physicalism has only a weak explanation for life, it has none at all for consciousness.  Physicalists have attempted to explain life and consciousness as emergent phenomena, arising from complexity.  However, there is no physical definition of complexity.  Nature does not differentiate between a house and a pile of rubble.  The difference lies in our conscious perception.  A house is a pile of rubble that has been consciously arranged, according to a plan and purpose.  This is true even though the materials in a house and in a pile of rubble can be exactly the same.

Regarding consciousness, it is vital to distinguish between the outward appearance of consciousness, and its inward experience.  The outward appearance can be measured by various medical procedures, but nothing in the physicalist’s world can explain your inward experience of consciousness.  An illustration of this is color.  Physics can define color in terms of photons and wavelength.  But when you see a color, you do not experience it in quantifiable terms.  You cannot explain what color is to a person who has been blind from birth, who has never experienced color for himself.  Nor does physics have any explanation whatsoever for how those photons and wavelengths, passing through your eyes, become experienced as the color you actually perceive.

--3-- Free Will.  Nothing in physicalism is compatible with free will.  Physicalism denies that free will can exist.  Free will empowers the individual to make decisions, regardless of the physical chain of cause-and-effect that governs all natural phenomena.  Even Sean Carroll, one of the foremost advocates of physicalism, allowed that without free will, we would have no power of reason.  Without life, consciousness and free will, we would be helpless witnesses of our own lives, but not participants.  We would be puppets on a cosmic string, mindless actors on a stage, reciting lines in a script that nobody wrote.  To paraphrase Shakespeare, our lives would be “a sound and fury signifying nothing,” in “a tale told by an idiot.”

Without free will, there could be neither vice nor virtue, neither courage nor cowardice.  There could be no justice, for the criminal could disavow any responsibility for his actions, while the judge could say he had no power of the will when sentencing him.  Life would be a farce.  Those who deny that free will exists implicitly aver that they have no power but to deny it, and at the same time, they aver that those of us who profess free will cannot help but do so.

Without free will—quoting from the 1969 hit song by Zager and Evans— “Everything you think do and say, is in the pill you took today.”  (In the year 2525)

Denial of free will would make of human life a meaningless and absurd farce, but that is precisely what physicalism says.  It is a futile, and even dangerous, philosophy.

Much more about the God paradigm is in the book by that name.
 

Chapter 3—The Mind Paradigm, Cosmic Consciousness

While physical and religious philosophies are familiar to most people in Western cultures, the philosophies of the East are much less so. 

Many Eastern sages regard the physical world as an illusion, at least in the sense that when we see something material, we are not seeing the object as it really is, but only as a representation of it.  They also refer to the illusion of self, and seek through enlightenment to sublimate the self into the larger consciousness.

The mind paradigm called Idealism is a further refinement of Eastern philosophy, elucidated by Bernardo Kastrup, a computer engineer, author, and philosopher.  His seems to be the latest and most popularized version.

According to some advocates of the mind paradigm, there is no physical universe.  What we perceive as physical reality is entirely the construct of a universal, collective consciousness.  We, ourselves, are parts of that collective consciousness, fragments of it, so to speak, separated from the main body of consciousness, in the sense that local whirlpools in a body of water might be considered to be temporary disruptions or turbulences.

At first, the theory may seem strange, even facetious, to many of us who are steeped in Western traditions.  But the philosophy is highly detailed, meticulously structured, and vigorously defended by those who advocate it.  Books have been written about it, including by Kastrup.  Engaging in discussions about it with its believers can be a minefield of semantical misunderstandings and conceptual confusions.  Their specialized vocabulary seemed to me at first to be psychobabble, but most of them seem to be educated, reasoning people who deserve more credit than we normally might assign to the stereotypical “hippie” waxing about being a butterfly dreaming that he is a human.

One of the scientific underpinnings of the mind paradigm is quantum mechanics, the very same branch of science cited by the God paradigm as debunking the physicalist paradigm.  We detailed that in the preceding chapter.

The logical basis of the mind paradigm is that we never directly experience anything except our conscious perceptions and experiences.  Therefore, we can never prove that those perceptions arise from any other source than consciousness itself.

Thus, one model of reality presented by the mind paradigm is that only consciousness exists, and nothing else.  All of perceived reality is reducible to activities within the universal consciousness.  Those activities are vibrations, in the field of collective consciousness.

In the mind paradigm, we are not considered to be eternal, sovereign individuals, but rather, temporary partitions of the greater reality.  We are not sinners saved by the self-sacrificing grace of a loving God who created us for eternal fellowship with him.  Advocates of the mind paradigm may be sympathetic to a generic form of Christianity, but they seem to regard God more as a symbol than as an absolute reality.

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All of the foregoing is subject to dispute, disagreement, or modification by those with whom I have engaged in online discussions concerning the mind paradigm.  Here are some comments I made (in italics), and some of the responses online, from one advocate of the mind paradigm.  I have edited them for brevity.
 
--Its proponents often refer to it as, Mind-at-Large Idealism, abbreviated M@L.

“Cosmic (or Universal) Consciousness" or "Brahman" or "Absolute Spirit" are more correct terms.

--  In doing so, it (idealism) denies that any of the physical things leading to our experiences—exist.  

They exist. They just do not exist as mindless mind-independent objects. If we ignore physical reality, we suffer.

-- Eventually, we will all melt back into it (the universal consciousness).

Opinions differ. Some do not think so.

--Many Eastern sages regard the physical world as an illusion, at least in the sense that when we see something material, we are not seeing the object as it really is, but only as a representation of it.

What is "really there" are electrons and quarks.  We don’t see those as they are.

--According to the mind paradigm there is no physical universe.

Yes there is. It just happens to be mind-generated and mind-dependent.

-- In the mind paradigm, we are not eternal, sovereign individuals, but rather, temporary partitions of the greater reality. 

Some idealists may think we are temporary. I don't.

--[according to idealism] We are not sinners saved by the self-sacrificing grace of a loving God who created us for eternal fellowship with him.

I agree with the above sentiments, although not necessarily as expressed in the Bible.

--Advocates of the mind paradigm may be sympathetic to a generic form of Christianity, but they seem to regard God more as a symbol than as an absolute reality.

God is an absolute reality, but not necessarily as in the Bible.

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As one can see from the foregoing, the mind paradigm is difficult for some (including me) to understand.  One might say the same of Christianity, which has many sects and denominations, some of them in radical disagreement with each other.

What we can say, however, is that both the physicalist paradigm and Christianity have had major impacts on Western civilization.  What impact, if any of significance, the Eastern philosophies will have on the West, is yet to be fully seen.  Over the next few years, with increased travel and communications, the influence of Eastern philosophy will either grow or not.

My inclination is to believe that certain aspects of the physicalist paradigm will have to be abandoned or modified.  Science itself is challenging it.  But more so, physicalism offers no moral principles.  Scientists of course, do have such principles, but they cannot cite the laws of physics in support of them.

Eastern mystics have a reputation as being pacifists, gentle and kind people who eschew violence and practice charity.  One would think that they offer a moral code that will lift us from the increasing barbarism that has accompanied increased technology.  But as far as we know, Eastern mysticism has arguably made few, if any, practical contributions to further its pacifist ideals.  On the other hand, one might say that they have not enabled barbarism either.

But the God paradigm offers both—a scientific platform from which technology can be enabled to produce benefits for mankind, and also, a moral code that can save us from material destruction.

Among the key factors it employs in doing this is its emphasis on our reliance on divine influence, even intervention.  No human being has the wisdom, nor the authority, to declare a moral code.  Only God can do that, and He does so through divine revelation.  Divinely revealed truth is the foundation for all of science, and all of society.

Of course, disputes exist concerning what the Bible says and means.  Therefore, anyone who cites the Bible faces the great difficulty of persuading others.  Only the Holy Spirit can do that.

But not all is lost.  Humans can, when confronted by historical challenges, call upon God, and receive blessings which enable them, despite human flaws and sinfulness, to achieve great progress in establishing a just and enduring society.

Anyone reading the American Declaration of Independence must surely be inspired by what some few men of diverse opinions, even disagreeing on the vital moral issue of slavery, a despicable institution which some of them supported—even those men crafted a document that was ahead of its time, and which has inspired countless acts of moral courage since then.

Much of that gets lost in the turbulence of history, until today there are many who, lacking even a fraction of the courage and wisdom of the Founders, condemn them, never having endured the dangers and hardships that led them to, literally, pledge their lives, their fortunes (money and property), and their sacred honor (two words which today often mean nothing), to each other, and to the nation they founded.

How ironic that is. 

Mankind’s search for truth has never been more urgent than it is now.  We have taken into our hands the power to make of earth a paradise or a hell.  We must choose a path, and soon.  Do we have the wisdom to choose wisely?
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Wednesday, June 20, 2018

Is Numerology a Valid Science?

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The short answer is, no.  The longer answer is, no, but there are numerological artifacts that have attracted notice among scientists.  When combined with geometry, these artifacts become significant.

Since ancient times, mystics and others have sought to find secret meanings in numbers.  This interest took two routes.  One route was to try to predict the future.  The other was to seek spiritual insight into the structure and meaning of nature.  Both of these routes, during recent decades, have produced astonishing results.

Predicting the future with numbers is no longer practiced by mathematicians in the same way as hucksters do.  Scientists do not consider the number 7 to be lucky, nor 13 to be unlucky.  But the use of statistics and probability in actuarial science is not only widely practiced, it is at the very heart of the insurance industry, as well as being useful in many other fields, from economics, to weather forecasting, and quantum physics.

I recall that in the 1960s, just prior to a summer holiday, a prediction was made public that X number (where X was a precise number, like say, 55,032) of Americans would die over the weekend in automobile crashes.  This prediction was widely scoffed at by the public.  After the holiday ended, however, we were stunned by the accuracy, within just a very few, say like 8, of the prediction.  It felt like predestination, like a violation of the principle of free will.

Interestingly, the following year, a very similar prediction was made, but this time, the actual deaths were far fewer than the prediction.  Why?  The second prediction was so firmly believed, that people actually became more careful on the road, and/or traveled less, reducing the death rate.

Since then the effect of the prediction itself has been factored into the predictions, and once again, they are almost spot on.

But actuarial statistics is not what people think of when they hear the term, numerology.  They think more in terms of a mysterious looking man in an astrological-themed costume, burning incense, or whatever.

If so, then, what about seeking spiritual insight into the workings of nature?  Has that happened?

Again, the short answer is no, but a longer answer involves the word, yes.

There is a set of numbers called, the Fibonacci sequence, which is a very simple string of numbers in which each number is the sum of the preceding two numbers.  For example,

0, 1, 1, 2, 3, 5, 8, 13, 21 etc., toward infinity

That may seem like a simple amusement, but consider this quote from Wikipedia:

Fibonacci numbers appear unexpectedly often in mathematics, so much so that there is an entire journal dedicated to their study, the Fibonacci Quarterly. Applications of Fibonacci numbers include computer algorithms such as the Fibonacci search technique and the Fibonacci heap data structure, and graphs called Fibonacci cubes used for interconnecting parallel and distributed systems. They also appear in biological settings, such as branching in trees, phyllotaxis (the arrangement of leaves on a stem), the fruit sprouts of a pineapple, the flowering of an artichoke, an uncurling fern and the arrangement of a pine cone's bracts.

Other biological examples include the curling structure in sea creatures that have curled, snail-like shells.

Also from Wikipedia:

The discovery of atomic triads, an early attempt to sort the elements into some logical order by their physical properties, was once considered a form of numerology, and yet ultimately led to the construction of the periodic table. . . . .

British mathematician I. J. Good wrote:

There have been a few examples of numerology that have led to theories that transformed society: . . .. It would be fair enough to say that numerology was the origin of the theories of electromagnetism, quantum mechanics, gravitation. . .

 ... I think an appropriate definition of correctness is that the formula has a good explanation, in a Platonic sense, that is, the explanation could be based on a good theory that is not yet known but ‘exists’ in the universe of possible reasonable ideas.

Our search for the meaning of life in numbers is not giving us the satisfying answers that Lady Magica Serenity can, down at the local fortune teller parlor, but then Lady Magica has been known to make off with her customer’s hard-earned money after giving them bad advice.

However, we still have hope.  Geometry is known to have a lot of mathematical involvement, as anyone who has struggled with the Pythagorean Theorem, and sines and cosines, well knows.  Are there any recent developments in that field?

The short answer is, yes, and the longer answer is, yes indeed!

Two subject areas jump out at us.  One of them is the study of fractals, and the other is Penrose tiling, developed by the famous Sir Roger Penrose, an English mathematical physicist, mathematician and philosopher of science, and if I am not mistaken, a tow truck driver in his spare time.  (I am probably mistaken about that last one.)

Fractal geometry sounds boring, but the videos online are fascinating to watch, no matter how much you hate geometry.  Likewise, Penrose tiling.  Both of these at first seem like idle amusements, but as in the case of the Fibonacci numbers, they have important applications, not only in the study of nature, but even in mundane practical matters as well.

Looking at my deck of Tarot cards, I predict that the future of numerology will lead to earth shaking discoveries that will revolutionize our understanding of reality, and improve our standard of living, and not just for Lady Magica.  Numbers don’t lie.  (Warning:  however, Lady Magica does.)
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Friday, June 15, 2018

Simulation Hypothesis

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It has been seriously proposed, by apparently educated scientists, that the reality which we experience through our senses, is the product of a simulation.  While this hypothesis seems absurd on the face of it, it does bear some examination and testing, to the extent possible.

Before we can examine this hypothesis, we must first specify exactly what a simulation is, and what specific kind of simulation we might be in.

Let’s begin with a related hypothesis, called, the Boltzmann Brain.  While this was an idea seriously proposed by Austrian physicist Ludwig Boltzmann (1844–1906), it now serves as an interesting thought experiment.  In short, the Boltzmann Brain is a theorized human brain that is isolated in its own universe.  It is formed at random from quantum uncertainty, along with any and all support mechanisms needed for it to be self-aware.

The Boltzmann Brain (I shall abbreviate it as BB)  does not sense any external reality, but rather, it makes up its own thoughts, its own imaginary reality, which can simulate any level of complexity that the brain can devise. 

Let us digress to my own extension of the BB.  In my theory, the BB(s) [there could be any number of them] could be a microbe, a lizard, a human, or something vastly more complex—even a super-computer.  All it needs is to be conscious, aware, and self-interactive.

That, then, would fit one definition of a simulated universe.  The problem with the BB is that, if it comes into being by random forces, it might also dissolve by random forces.

Now, on to another idea, and this one already exists in primitive form.  Even with an old computer, one could program a virtual reality, albeit very simple, but nevertheless, it can be considered a valid simulation.  It could not be experienced from within, but it is a beginning.

Moving along, we arrive at a more conventional theory of a simulated universe in which we live.  In this simulation, a complex, ultra-computer, was built by an alien civilization.  Our universe was programmed into it in detail, and this simulated universe then produced everything we perceive, including us.

Finally, we finish with a simulated universe, or reality, in which we ourselves fashion the simulation through some kind of collective consciousness, of which we are all a part.

In all the examples we have mentioned so far, the simulation is self-contained.  But that is not possible.  A simulation is a representation of something other than the simulation itself.  Therefore, there must be something external to the simulation.  The ship in the bottle is not the ship itself.  If it were, then there could be an endless series of models within the model within the model, to infinity.

I have mentioned in other posts that JBS Haldane, the premier biologist, pointed out that we can never be sure that our theories have any bearing on reality, since our thoughts might be neurologically correct, but otherwise completely off the mark.  We cannot step outside of our consciousness to measure it.  We cannot become the measuring rod of the measuring rod.

If we are simulated creatures, then is our consciousness only simulated, and we are instead mindless robots?

The only reality for which any of us has direct experience is experience itself.  Everything else might be an interpretation of our perceptions, and that interpretation could be thoroughly flawed without our ever knowing it.
 
Life, consciousness and free will are fundamental realities.  They cannot be simulated, at least not within a simulation.

Are we simulating ourselves?

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Monday, June 4, 2018

The Fallacy of Reason


If this, then therefore that.

Such is the basis of all logic and reason.  Of course, it involves more than that, but in effect, every question or problem, no matter how complex, can be resolved by reason and logic.

Or can it?

Logic and reason are functions of the human brain.  Therefore, logical reasoning tells us, that if the brain is defective, then so also will be its capacity to reason.  Here is a powerful example of how the best and brightest brains can fail to use logic correctly.

(The following material was originally published in PARADE magazine in 1990 and 1991.)

Suppose you’re on a game show, and you’re given the choice of three doors. Behind one door is a car, behind the others, goats. You pick a door, say #1, and the host, who knows what’s behind the doors, opens another door, say #3, which has a goat. He says to you, "Do you want to pick door #2?" Is it to your advantage to switch your choice of doors?

And here is one response to the question:

If one door is shown to be a loser, that information changes the probability of either remaining choice, neither of which has any reason to be more likely, to 1/2. As a professional mathematician, I’m very concerned with the general public’s lack of mathematical skills.

End of quote.

So there you have it.  A professional mathematician, steeped in the rigorous skills of logic and precision reasoning, has given us the answer.

But it was the wrong answer.  You can see the entire fiasco of brilliant brains producing the wrong result at http://marilynvossavant.com/game-show-problem/

How could this happen?  It happened because reason and logic sometimes lead to counter-intuitive results.  It was not logic and reasoning that failed, it was their incorrect application, even by stalwarts in the field of mathematics.

But here again, we have a problem.  Reason and logic, even when properly applied according to the accepted rules, may not be all that they are cracked up to be.  JBS Haldane, the brilliant biologist (1892 – 1964) pointed out something very obvious, which is often overlooked.  He said,

If materialism is true, it seems to me that we cannot know that it is true. If my opinions are the result of the chemical processes going on in my brain, they are determined by the laws of chemistry, not those of logic.

Now this brief quote encapsulates a vital principle that undermines the whole of logic and reasoning.  A more understandable way of expressing it is to use the example of a chess computer.  In the early days of chess computers, they could easily be beaten by your average high school nerd (I was a below average nerd in high school, and perhaps remain so).  Why?  Because the chess computer had limited ability to reason its way through a chess game.  According to its circuitry, it could make perfect decisions on every move. But its circuitry was too limited.

Of course, the human brain is not a computer, but Haldane was a biologist who well understood it.  He was also IMO a materialist atheist.

What he said, therefore, deserves careful consideration.  He was a materialist who said that if HIS view of a material universe is correct, the human brain is incapable of knowing that, because the limited circuitry of that brain might be deeply flawed.

Indeed, it has been pointed out that, if evolution theory is true, then the human brain did not evolve by being able to produce mathematics, science, art and music, but rather, by mastering the limited skill set it needed to survive.

In recent years, there has been a movement on some college campuses to discredit what some call, logicism.  Logic, after all, was used by vicious white men to oppress their victims, and it must therefore be evil.  Instead of logic, we should govern our lives by emotion.

I do not agree with that.  I tend more to agree with Haldane on this quote of his:

“My own suspicion is that the Universe is not only queerer than we suppose, but queerer than we can suppose.”

I will close with this quote, which I think comes closest to the truth on this subject:

        As Bishop Fulton J Sheen (1895 – 1979) wrote so eloquently:

The great arcana of Divine Mysteries cannot be known by reason, but only by Revelation.  Reason can however, once in possession of these truths, offer persuasions to show that they are not only not contrary to reason, or destructive of nature, but eminently suited to a scientific temper of mind and the perfection of all that is best in human nature. [1]




[1] The Life of all Living; Garden City Books reprint edition 1951; copyright 1929 by The Century Company, printed in the United States at The Country Life Press, Garden City, N.Y.