Uncommon Descent Serving The Intelligent Design Community

ID Foundations, 1a: What is “Chance”? (a rough “definition”)

Share
Facebook
Twitter
LinkedIn
Flipboard
Print
Email

Just what is “chance”?

This point has come up as contentious in recent UD discussions, so let me clip the very first UD Foundations post, so we can look at a paradigm example, a falling and tumbling die:

A pair of dice showing how 12 edges and 8 corners contribute to a flat random distribution of outcomes as they first fall under the mechanical necessity of gravity, then tumble and roll influenced by the surface they have fallen on. So, uncontrolled small differences make for maximum uncertainty as to final outcome. (Another way for chance to act is by  quantum probability distributions such as tunnelling for alpha particles in a radioactive nucleus)
A pair of dice showing how 12 edges and 8 corners contribute to a flat random distribution of outcomes as they first fall under the mechanical necessity of gravity, then tumble and roll influenced by the surface they have fallen on. So, uncontrolled small differences make for maximum uncertainty as to final outcome. (Another way for chance to act is by quantum probability distributions such as tunnelling for alpha particles in a radioactive nucleus)

2 –>As an illustration, we may discuss a falling, tumbling die:

Heavy objects tend to fall under the law-like natural regularity we call gravity. If the object is a die, the face that ends up on the top from the set {1, 2, 3, 4, 5, 6} is for practical purposes a matter of chance.

But, if the die is cast as part of a game, the results are as much a product of agency as of natural regularity and chance. Indeed, the agents in question are taking advantage of natural regularities and chance to achieve their purposes!

[Also, the die may be loaded, so that it will be biased or even of necessity will produce a desired outcome. Or, one may simply set a die to read as one wills.]

{We may extend this by plotting the (observed) distribution of dice . . . observing with Muelaner [here] , how the sum tends to a normal curve as the number of dice rises:}

central-limit-theorem-300x149
How the distribution of values varies with number of dice (HT: Muelaner)

Then, from No 21 in the series, we may bring out thoughts on the two types of chance:

Chance:

TYPE I: the clash of uncorrelated trains of events such as is seen when a dropped fair die hits a table etc and tumbles, settling to readings in the set {1, 2, . . . 6} in a pattern that is effectively flat random. In this sort of event, we often see manifestations of sensitive dependence on initial conditions, aka chaos, intersecting with uncontrolled or uncontrollable small variations yielding a result predictable in most cases only up to a statistical distribution which needs not be flat random.

TYPE II: processes — especially quantum ones — that are evidently random, such as quantum tunnelling as is the explanation for phenomena of alpha decay. This is used in for instance zener noise sources that drive special counter circuits to give a random number source. Such are sometimes used in lotteries or the like, or presumably in making one time message pads used in decoding.

{Let’s add a Quincunx or Galton Board demonstration, to see the sort of contingency we are speaking of in action and its results . . . here in a normal bell-shaped curve, note how the ideal math model and the stock distribution histogram align with the beads:}

[youtube AUSKTk9ENzg]

Why the fuss and feathers?

Because stating a clear enough understanding of what design thinkers are talking about when we refer to “chance” is now important given some of the latest obfuscatory talking points. So, bearing the above in mind, let us look afresh at a flowchart of the design inference process:

explan_filter

(So, we first envision nature acting by low contingency mechanical necessity such as with F = m*a . . . think a heavy unsupported object near the earth’s surface falling with initial acceleration g = 9.8 N/kg or so. That is the first default. Similarly, we see high contingency knocking out the first default — under similar starting conditions, there is a broad range of possible outcomes. If things are highly contingent in this sense, the second default is: CHANCE. That is only knocked out if an aspect of an object, situation, or process etc. exhibits, simultaneously: (i) high contingency, (ii) tight specificity of configuration relative to possible configurations of the same bits and pieces, (iii)  high complexity or information carrying capacity, usually beyond 500 – 1,000 bits. And for more context you may go back to the same first post, on the design inference. And yes, that will now also link this for an all in one go explanation of chance, so there!)

Okie, let us trust there is sufficient clarity for further discussion on the main point. Remember, whatever meanings you may wish to inject into “chance,” the above is more or less what design thinkers mean when we use it — and I daresay, it is more or less what most people (including most scientists) mean by chance in light of experience with dice-using games, flipped coins, shuffled cards, lotteries, molecular agitation, Brownian motion and the like. At least, when hair-splitting debate points are not being made.  It would be appreciated if that common sense based usage by design thinkers is taken into reckoning. END

Comments
In fact, it has been argued that Gravity arises as an ‘entropic force’,,
Evolution is a Fact, Just Like Gravity is a Fact! UhOh! – January 2010 Excerpt: The results of this paper suggest gravity arises as an entropic force, once space and time themselves have emerged. https://uncommondescent.com/intelligent-design/evolution-is-a-fact-just-like-gravity-is-a-fact-uhoh/
In fact, entropy is pervasive in its explanatory power for physical events that occur in this universe,,
Shining Light on Dark Energy – October 21, 2012 Excerpt: It (Entropy) explains time; it explains every possible action in the universe;,, Even gravity, Vedral argued, can be expressed as a consequence of the law of entropy. ,,, The principles of thermodynamics are at their roots all to do with information theory. Information theory is simply an embodiment of how we interact with the universe —,,, http://crev.info/2012/10/shining-light-on-dark-energy/
In fact it was, in large measure, by studying the entropic considerations of black holes that Roger Penrose was able to derive the gargantuan 1 in 10^10^123 number as to the necessary initial entropic state for the universe:
Roger Penrose – How Special Was The Big Bang? “But why was the big bang so precisely organized, whereas the big crunch (or the singularities in black holes) would be expected to be totally chaotic? It would appear that this question can be phrased in terms of the behaviour of the WEYL part of the space-time curvature at space-time singularities. What we appear to find is that there is a constraint WEYL = 0 (or something very like this) at initial space-time singularities-but not at final singularities-and this seems to be what confines the Creator’s choice to this very tiny region of phase space.” How special was the big bang? – Roger Penrose Excerpt: This now tells us how precise the Creator’s aim must have been: namely to an accuracy of one part in 10^10^123. (from the Emperor’s New Mind, Penrose, pp 339-345 – 1989) Roger Penrose discusses initial entropy of the universe. – video http://www.youtube.com/watch?v=WhGdVMBk6Zo The Physics of the Small and Large: What is the Bridge Between Them? Roger Penrose Excerpt: “The time-asymmetry is fundamentally connected to with the Second Law of Thermodynamics: indeed, the extraordinarily special nature (to a greater precision than about 1 in 10^10^123, in terms of phase-space volume) can be identified as the “source” of the Second Law (Entropy).” http://www.pul.it/irafs/CD%20IRAFS%2702/texts/Penrose.pdf
But what is devastating for the atheist (or even for the Theistic Evolutionist) who wants ‘randomness’ to be the source for all creativity in the universe, is that randomness, (i.e. the entropic processes of the universe), are now shown, scientifically, to be vastly more likely to destroy functional information within the cell rather than ever building it up’. Here are my notes along that line:
“Is there a real connection between entropy in physics and the entropy of information? …. The equations of information theory and the second law are the same, suggesting that the idea of entropy is something fundamental…” Tom Siegfried, Dallas Morning News, 5/14/90 – Quotes attributed to Robert W. Lucky, Ex. Director of Research, AT&T, Bell Laboratories & John A. Wheeler, of Princeton & Univ. of TX, Austin in the article Demonic device converts information to energy – 2010 Excerpt: “This is a beautiful experimental demonstration that information has a thermodynamic content,” says Christopher Jarzynski, a statistical chemist at the University of Maryland in College Park. In 1997, Jarzynski formulated an equation to define the amount of energy that could theoretically be converted from a unit of information2; the work by Sano and his team has now confirmed this equation. “This tells us something new about how the laws of thermodynamics work on the microscopic scale,” says Jarzynski. http://www.scientificamerican.com/article.cfm?id=demonic-device-converts-inform
,,having a empirically demonstrated direct connection between entropy of the universe and the information inherent within a cell is extremely problematic for Darwinists because of the following principle,,,
“Gain in entropy always means loss of information, and nothing more.” Gilbert Newton Lewis – preeminent Chemist of the first half of last century “Bertalanffy (1968) called the relation between irreversible thermodynamics and information theory one of the most fundamental unsolved problems in biology.” Charles J. Smith – Biosystems, Vol.1, p259.
and this principle is confirmed empirically:
“The First Rule of Adaptive Evolution”: Break or blunt any functional coded element whose loss would yield a net fitness gain – Michael Behe – December 2010 Excerpt: In its most recent issue The Quarterly Review of Biology has published a review by myself of laboratory evolution experiments of microbes going back four decades.,,, The gist of the paper is that so far the overwhelming number of adaptive (that is, helpful) mutations seen in laboratory evolution experiments are either loss or modification of function. Of course we had already known that the great majority of mutations that have a visible effect on an organism are deleterious. Now, surprisingly, it seems that even the great majority of helpful mutations degrade the genome to a greater or lesser extent.,,, I dub it “The First Rule of Adaptive Evolution”: Break or blunt any functional coded element whose loss would yield a net fitness gain. http://behe.uncommondescent.com/2010/12/the-first-rule-of-adaptive-evolution/
Thus, Darwinists are found to be postulating that the ‘random’ entropic events of the universe, which are found to be consistently destroying information in the cell, are instead what are creating information in the cell. ,,, It is the equivalent in science of someone (in this case a ‘consensus of scientists’) claiming that Gravity makes things fall up instead of down, and that is not overstating the bizarre situation we find ourselves in in the least with the claims of atheistic Darwinists and Theistic Evolutionists. It is also very interesting to note that Ludwig Boltzmann, an atheist, when he linked entropy and probability, did not, as Max Planck a Christian Theist points out in the following link, think to look for a constant for entropy:
The Austrian physicist Ludwig Boltzmann first linked entropy and probability in 1877. However, the equation as shown, involving a specific constant, was first written down by Max Planck, the father of quantum mechanics in 1900. In his 1918 Nobel Prize lecture, Planck said: “This constant is often referred to as Boltzmann’s constant, although, to my knowledge, Boltzmann himself never introduced it – a peculiar state of affairs, which can be explained by the fact that Boltzmann, as appears from his occasional utterances, never gave thought to the possibility of carrying out an exact measurement of the constant.” http://www.daviddarling.info/encyclopedia/B/Boltzmann_equation.html
I hold that the primary reason why Boltzmann, an atheist, never thought to carry out, or even propose, a precise measurement for the constant on entropy is that he, as an atheist, had thought he had arrived at the ultimate ‘random’ explanation for how everything in the universe operates when he had link probability with entropy. i.e. In linking entropy with probability, Boltzmann, again an atheist, thought he had explained everything that happens in the universe to a ‘random’ chance basis. To him, as an atheist, I hold that it would simply be unfathomable for him to conceive that the ‘random chance’ (probabilistic) events of entropy in the universe should ever be constrained by a constant that would limit the effects of ‘random’ entropic events of the universe. Whereas on the contrary, to a Christian Theist such as Planck, it is expected that even these seemingly random entropic events of the universe should be bounded by a constant. In fact modern science was born out of such thinking:
‘Men became scientific because they expected Law in Nature, and they expected Law in Nature because they believed in a Legislator. In most modern scientists this belief has died: it will be interesting to see how long their confidence in uniformity survives it. Two significant developments have already appeared—the hypothesis of a lawless sub-nature, and the surrender of the claim that science is true.’ Lewis, C.S., Miracles: a preliminary study, Collins, London, p. 110, 1947.
Verse and Music:
Romans 8:20-21 For the creation was subjected to frustration, not by its own choice, but by the will of the one who subjected it, in hope that the creation itself will be liberated from its bondage to decay and brought into the glorious freedom of the children of God. Phillips, Craig & Dean – When The Stars Burn Down – Worship Video with lyrics http://www.youtube.com/watch?v=rPuxnQ_vZqY
bornagain77
December 31, 2013
December
12
Dec
31
31
2013
03:56 AM
3
03
56
AM
PDT
kairosfocus, I noticed that you delineated chance into two different forms. i.e. A pair of die and quantum. I would suggest a more 'scientific' delineation, as would be pertinent to the ID vs Darwin debate, would involve delineating chance along the entropic and quantum boundary. Randomness (Chance) - Entropic and Quantum I think the whole Theistic Evolution issue, in which some Theists think God somehow guides evolution through ‘random chance and/or chaotic’ processes, hinges on the misapplication of the term ‘random chance’. For something to be considered a ‘random chance’ event in the universe is generally regarded as something lacking predictability to its occurrence or lacking a pattern to it. i.e. Generally the cause of the event is held to be unknown, but no one in their right mind would say that ‘nothing’ caused the random event to occur!. But how, in a general sense, when an atheist invokes randomness, as if he has issued a statement of final causality, is that any different from a Theist saying an event was ‘miraculous’, if the atheists says an event ‘just happened’ for no particular reason at all? Indeed, it has been observed by no less than the noted physicist Wolfgang Pauli that the word ‘random chance’, as used by Biologists, is synonymous with the word ‘miracle’:
Nobel Prize-Winning Physicist Wolfgang Pauli on the Empirical Problems with Neo-Darwinism – Casey Luskin – February 27, 2012 Excerpt: While they (Darwinian Biologists) pretend to stay in this way completely ‘scientific’ and ‘rational,’ they become actually very irrational, particularly because they use the word ‘chance’, not any longer combined with estimations of a mathematically defined probability, in its application to very rare single events more or less synonymous with the old word ‘miracle.’” Wolfgang Pauli (pp. 27-28) - http://www.evolutionnews.org/2012/02/nobel_prize-win056771.html
Talbott humorously reflects on the awkward situation between Atheists and Theists here:
Evolution and the Illusion of Randomness – Talbott – Fall 2011 Excerpt: In the case of evolution, I picture Dennett and Dawkins filling the blackboard with their vivid descriptions of living, highly regulated, coordinated, integrated, and intensely meaningful biological processes, and then inserting a small, mysterious gap in the middle, along with the words, “Here something random occurs.” This “something random” looks every bit as wishful as the appeal to a miracle. It is the central miracle in a gospel of meaninglessness, a “Randomness of the gaps,” demanding an extraordinarily blind faith. At the very least, we have a right to ask, “Can you be a little more explicit here?” http://www.thenewatlantis.com/publications/evolution-and-the-illusion-of-randomness
Also of related interest:
Scientific American: Evolution "To some extent, it just happens" - July 2013 "Complexity, they say, is not purely the result of millions of years of fine-tuning through natural selection—the process that Richard Dawkins famously dubbed “the blind watchmaker.” To some extent, it just happens. Biologists and philosophers have pondered the evolution of complexity for decades, but according to Daniel W. McShea, a paleobiologist at Duke University, they have been hobbled by vague definitions. “It’s not just that they don’t know how to put a number on it. They don’t know what they mean by the word,” McShea says." https://uncommondescent.com/evolution/scientific-american-studying-how-organisms-evolve-elaborate-structures-without-darwinian-selection/ “It is our contention that if ‘random’ is given a serious and crucial interpretation from a probabilistic point of view, the randomness postulate is highly implausible and that an adequate scientific theory of evolution must await the discovery and elucidation of new natural laws—physical, physico-chemical, and biological.” Murray Eden, “Inadequacies of Neo-Darwinian Evolution as a Scientific Theory,” Mathematical Challenges to the Neo-Darwinian Interpretation of Evolution, editors Paul S. Moorhead and Martin M. Kaplan, June 1967, p. 109.
Basically, if the word random (chance) were left in this fuzzy, undefined, state one could very well argue as Theistic Evolutionists argue, and as even Alvin Plantinga himself has argued at the 8:15 minute mark of this following video,,
How can an Immaterial God Interact with the Physical Universe? (Alvin Plantinga) – video http://www.youtube.com/watch?v=2kfzD3ofUb4
,,, that each random (chance) event that occurs in the universe could be considered a ‘miracle’ of God. And thus, I guess the Theistic Evolutionists would contend, God could guide evolution through what seem to us to be ‘random’ events. And due to the synonymous nature between the two words, random (chance) and miracle, in this ‘fuzzy’, undefined, state, this argument that random events can be considered ‘miraculous’, while certainly true in the overall sense, would none-the-less concede the intellectual high ground to the atheists since, by and large, the word random, as it is defined in popular imagination, is not associated with the word miraculous at all but the word random is most strongly associated with unpleasant ‘random’ events. Associated with ‘natural’ disasters, and such events as that. Events that many people would prefer to distance God from in their thinking, or that many people, even hardcore Christian Theists, are unable to easily associate an all loving God with (i.e. the problem of evil). Such as tornadoes, earthquakes, and other such catastrophes. Moreover, Darwinists, as Casey Luskin and Jay Richards pointed out in a disagreement with Alvin Plantinga, have taken full advantage of the popular definition of the word ‘random event’, (as in the general notion of unpredictable tragic events being separated from God’s will), in textbooks to mislead the public that a ‘random’ event is truly separated from God’s divine actions,,,
Unguided or Not? How Do Darwinian Evolutionists Define Their Theory? – Casey Luskin – August 11, 2012 Excerpt: While many new atheists undoubtedly make poor philosophers, the “unguided” nature of Darwinian evolution is not a mere metaphysical “add on.” Rather, it’s a core part of how the theory of Darwinian evolution has been defined by its leading proponents. Unfortunately, even some eminent theistic and intelligent design-friendly philosophers appear unaware of the history and scientific development of neo-Darwinian theory. http://www.evolutionnews.org/2012/08/unguided_or_not_1063191.html
More notes along that line:
The term “chance” can be defined several ways: a mathematical probability, such as the chance involved in flipping a coin; however, when scientists use this term, generally it’s substituting for a more precise word such as “cause,” especially when the cause is not known. “To personify ‘chance’ as if we were talking about a causal agent,” notes biophysicist Donald M. MacKay, “is to make an illegitimate switch from a scientific to a quasi-religious mythological concept.” Similarly, Robert C. Sproul points out: “By calling the unknown cause ‘chance’ for so long, people begin to forget that a substitution was made. . . . The assumption that ‘chance equals an unknown cause’ has come to mean for many that ‘chance equals cause.’” Nobel laureate Jacques L. Monod, for one, used this chance-equals-cause line of reasoning. “Pure chance, absolutely free but blind, [is] at the very root of the stupendous edifice of evolution,” he wrote. “Man knows at last that he is alone in the universe’s unfeeling immensity, out of which he emerged only by chance.” Note he says: ‘BY chance.’ Monod does what many others do—he elevates chance to a creative principle. Chance is offered as the means by which life came to be on earth. In fact, dictionaries show that “chance” is “the assumed impersonal purposeless determiner of unaccountable happenings.” Thus, if one speaks about life coming about by chance, he is saying that it came about by a causal power that is not known. per UD blogger Barbara
But, because of the advance of modern science, we need not be armchair philosophers that must forever, endlessly, wrangle over the precise meaning of the word random being synonymous with the word miraculous, (all the while conceding the public relations battle to the Darwinists over the word ‘random’), we can now more precisely define exactly what the word random means, as to a causal chain, so as to see exactly what a Darwinist means when he claims a ‘random’ event has occurred! ,, In this endeavor, in order to bring clarity to the word random, it is first and foremost very important to note that when computer programmers/engineers want to build a better random number generator for any particular computer program they are building then a better source of entropy is required to be found by them in order for them to achieve the increased randomness they desire for their program:
Cryptographically secure pseudorandom number generator Excerpt: From an information theoretic point of view, the amount of randomness, the entropy that can be generated is equal to the entropy provided by the system. But sometimes, in practical situations, more random numbers are needed than there is entropy available. http://en.wikipedia.org/wiki/Cryptographically_secure_pseudorandom_number_generator By the way, if you need some really good random numbers, go here: http://www.random.org/bytes/ These are truly random (not pseudo-random) and are generated from atmospheric noise. per Gil Dodgen
Along that line:
Entropy Excerpt: It is often said that entropy is an expression of the disorder, or randomness of a system, or of our lack of information about it (which on some views of probability, amounts to the same thing as randomness). http://en.wikipedia.org/wiki/Entropy#Order_and_disorder
Also of interest, not that computer programmers will ever tap into it, but the maximum source for entropy (randomness) in the universe is now known to be black holes,,,
Entropy of the Universe – Hugh Ross – May 2010 Excerpt: Egan and Lineweaver found that supermassive black holes are the largest contributor to the observable universe’s entropy. They showed that these supermassive black holes contribute about 30 times more entropy than what the previous research teams estimated. http://www.reasons.org/entropy-universe
bornagain77
December 31, 2013
December
12
Dec
31
31
2013
03:55 AM
3
03
55
AM
PDT
But, chance is so vague and imprecise . . . ? How can you say you are using it as a legitimate scientific concept? (And so forth)kairosfocus
December 31, 2013
December
12
Dec
31
31
2013
03:34 AM
3
03
34
AM
PDT
1 2 3

Leave a Reply