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Mathematicians challenge Darwinian evolution

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Or “neo-Darwinism” or the “extended synthesis” or similar dodges. The “information from nothing” evolution, whatever it is called:

Based on new evidence and knowledge that functioning proteins are extremely rare, should Darwin’s theory of evolution be dismissed, dissected, developed or replaced with a theory of intelligent design?

Has Darwinism really failed? Peter Robinson discusses it with David Berlinski, David Gelernter, and Stephen Meyer, who have raised doubts about Darwin’s theory in their two books and essay, respectively The Deniable Darwin, Darwin’s Doubt, and “Giving Up Darwin” (published in the Claremont Review of Books).

Robinson asks them to convince him that the term “species” has not been defined by the authors to Darwin’s disadvantage. Gelernter replies to this and explains, as he expressed in his essay, that he sees Darwin’s theory as beautiful (which made it difficult for him to give it up): “Beauty is often a telltale sign of truth. Beauty is our guide to the intellectual universe—walking beside us through the uncharted wilderness, pointing us in the right direction, keeping us on track—most of the time.” Gelernter notes that there’s no reason to doubt that Darwin successfully explained the small adjustments by which an organism adapts to local circumstances: changes to fur density or wing style or beak shape. Yet there are many reasons to doubt whether Darwin can answer the hard questions and explain the big picture—not the fine-tuning of existing species but the emergence of new ones. Meyer explains Darwinism as a comprehensive synthesis, which gained popularity for its appeal. Meyer also mentions that one cannot disregard that Darwin’s book was based on the facts present in the 19th century.

Peter Robinson, “Mathematical Challenges to Darwin’s Theory of Evolution with Berlinski, Meyer, and Gelernter” at Hoover Institution

When this stuff is happening, Darwinism is on the outs culturally.

See also: Darwinism Vs. Mathematics In A Post-Modern World

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Comments
@Vmahuna - Which "religion" should teachers be allowed to present? Do the quotes indicate that the teaching you are referring to is, in fact, not a religion at all and is something else entirely? If so, what is it?DMcT
July 23, 2019
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Moreover, when considering Godel's incompleteness theorem, mathematics, (and logic), also proves that the immaterial Mind of God must be behind mathematics:
A BIBLICAL VIEW OF MATHEMATICS Vern Poythress – Doctorate in theology, PhD in Mathematics (Harvard) 15. Implications of Gödel’s proof B. Metaphysical problems of anti-theistic mathematics: unity and plurality Excerpt: Because of the above difficulties, anti-theistic philosophy of mathematics is condemned to oscillate, much as we have done in our argument, between the poles of a priori knowledge and a posteriori knowledge. Why? It will not acknowledge the true God, wise Creator of both the human mind with its mathematical intuition and the external world with its mathematical properties. In sections 22-23 we shall see how the Biblical view furnishes us with a real solution to the problem of “knowing” that 2 + 2 = 4 and knowing that S is true. http://www.frame-poythress.org/a-biblical-view-of-mathematics/
In fact, both Einstein and Wigner are on record as to regarding it as a 'miracle' that we can precisely model the universe with mathematics:
On the Rational Order of the World: a Letter to Maurice Solovine - Albert Einstein - March 30, 1952 Excerpt: "You find it strange that I consider the comprehensibility of the world (to the extent that we are authorized to speak of such a comprehensibility) as a miracle or as an eternal mystery. Well, a priori, one should expect a chaotic world, which cannot be grasped by the mind in any way .. the kind of order created by Newton's theory of gravitation, for example, is wholly different. Even if a man proposes the axioms of the theory, the success of such a project presupposes a high degree of ordering of the objective world, and this could not be expected a priori. That is the 'miracle' which is constantly reinforced as our knowledge expands. There lies the weakness of positivists and professional atheists who are elated because they feel that they have not only successfully rid the world of gods but “bared the miracles." -Albert Einstein http://inters.org/Einstein-Letter-Solovine The Unreasonable Effectiveness of Mathematics in the Natural Sciences - Eugene Wigner - 1960 Excerpt: ,,certainly it is hard to believe that our reasoning power was brought, by Darwin's process of natural selection, to the perfection which it seems to possess.,,, It is difficult to avoid the impression that a miracle confronts us here, quite comparable in its striking nature to the miracle that the human mind can string a thousand arguments together without getting itself into contradictions, or to the two miracles of the existence of laws of nature and of the human mind's capacity to divine them.,,, The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve. We should be grateful for it and hope that it will remain valid in future research and that it will extend, for better or for worse, to our pleasure, even though perhaps also to our bafflement, to wide branches of learning. http://www.dartmouth.edu/~matc/MathDrama/reading/Wigner.html
Supplemental quote:
Nima Arkani-Hamed, the discoverer of the amplituhedron, stated “It seems inconceivable that this intricate web of perfect mathematical descriptions is random or happenstance. This mystery must have an explanation.”,,, Physicist: It’s Not The Answers We Lack, It’s The Question – February 24, 2019 Excerpt: “It seems inconceivable that this intricate web of perfect mathematical descriptions is random or happenstance. This mystery must have an explanation. But what might such an explanation look like?” Nima Arkani-Hamed https://uncommondescent.com/intelligent-design/physicist-its-not-the-answers-we-lack-its-the-question/
bornagain77
July 23, 2019
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The unstated goal of any truly rigorous scientific theory is to find a precise mathematical equation in which the propositions of that purported scientific theory can make extremely accurate predictions as to what we will find, via experimentation, in reality. As Leonardo Da Vinci stated, "No human investigation can be called true science without passing through mathematical tests."
"No human investigation can be called true science without passing through mathematical tests." Leonardo Da Vinci
The more closely the mathematical predictions of any given scientific theory match what we actually find in reality the more closely the scientific theory is said to correspond to being a true description of reality. Darwinian evolution simply has no such mathematical equation that can make accurate predictions. As David Berlinski stated previously elsewhere, "Quantum electrodynamics is accurate to thirteen or so decimal places; so, too, general relativity. A leaf trembling in the wrong way would suffice to shatter either theory. What can Darwinian theory offer in comparison?”
“On the other hand, I disagree that Darwin’s theory is as `solid as any explanation in science.; Disagree? I regard the claim as preposterous. Quantum electrodynamics is accurate to thirteen or so decimal places; so, too, general relativity. A leaf trembling in the wrong way would suffice to shatter either theory. What can Darwinian theory offer in comparison?” - Berlinski, D., “A Scientific Scandal?: David Berlinski & Critics,” Commentary, July 8, 2003
In fact, not only does Darwinian evolution not have a mathematical basis in which to make accurate predictions about what we will find in reality, as was touched upon in the video in the OP, in so far as mathematics has thus far been successfully applied to the propositions of Darwinian evolution it has consistently shown that the predictions of Darwinian evolution are wrong, As William Dembski stated in response to mathematician Gregory Chaitin's lamentation that it is " a mathematical scandal that we do not have a proof that Darwinian evolution works."
"For many years I thought that it is a mathematical scandal that we do not have a proof that Darwinian evolution works." Gregory Chaitin - Proving Darwin 2012 - Highly Respected Mathematician
In response to that comment from Chaitin, William Dembski stated that, "In fact, mathematics has consistently demonstrated that undirected Darwinian evolution does not work."
Active Information in Metabiology – Winston Ewert, William A. Dembski, Robert J. Marks II – 2013 Except page 9: Chaitin states [3], “For many years I have thought that it is a mathematical scandal that we do not have proof that Darwinian evolution works.” In fact, mathematics has consistently demonstrated that undirected Darwinian evolution does not work. http://bio-complexity.org/ojs/index.php/main/article/view/BIO-C.2013.4/BIO-C.2013.4
Besides the mathematics of probability showing us that Darwinian evolution 'does not work', the mathematics of population genetics itself, math which is more or less directly based on the Darwinian postulates of random variation and natural selection, also show us that Darwinian evolution does not work,
Fisher’s proof of Darwinian evolution has been flipped? - December 27, 2017 Excerpt: we re-examine Fisher’s Theorem, showing that because it disregards mutations, and because it is invalid beyond one instant in time, it has limited biological relevance. We build a differential equations model from Fisher’s first principles with mutations added, and prove a revised theorem showing the rate of change in mean fitness is equal to genetic variance plus a mutational effects term. We refer to our revised theorem as the fundamental theorem of natural selection with mutations. Our expanded theorem, and our associated analyses (analytic computation, numerical simulation, and visualization), provide a clearer understanding of the mutation–selection process, and allow application of biologically realistic parameters such as mutational effects. The expanded theorem has biological implications significantly different from what Fisher had envisioned. https://uncommondescent.com/intelligent-design/fishers-proof-of-darwinian-evolution-has-been-flipped/ The fundamental theorem of natural selection with mutations - June 2018 Excerpt: Because the premise underlying Fisher’s corollary is now recognized to be entirely wrong, Fisher’s corollary is falsified. Consequently, Fisher’s belief that he had developed a mathematical proof that fitness must always increase is also falsified. https://link.springer.com/article/10.1007/s00285-017-1190-x The waiting time problem in a model hominin population – 2015 Sep 17 John Sanford, Wesley Brewer, Franzine Smith, and John Baumgardner Excerpt: The program Mendel’s Accountant realistically simulates the mutation/selection process,,, Given optimal settings, what is the longest nucleotide string that can arise within a reasonable waiting time within a hominin population of 10,000? Arguably, the waiting time for the fixation of a “string-of-one” is by itself problematic (Table 2). Waiting a minimum of 1.5 million years (realistically, much longer), for a single point mutation is not timely adaptation in the face of any type of pressing evolutionary challenge. This is especially problematic when we consider that it is estimated that it only took six million years for the chimp and human genomes to diverge by over 5 % [1]. This represents at least 75 million nucleotide changes in the human lineage, many of which must encode new information. While fixing one point mutation is problematic, our simulations show that the fixation of two co-dependent mutations is extremely problematic – requiring at least 84 million years (Table 2). This is ten-fold longer than the estimated time required for ape-to-man evolution. In this light, we suggest that a string of two specific mutations is a reasonable upper limit, in terms of the longest string length that is likely to evolve within a hominin population (at least in a way that is either timely or meaningful). Certainly the creation and fixation of a string of three (requiring at least 380 million years) would be extremely untimely (and trivial in effect), in terms of the evolution of modern man. It is widely thought that a larger population size can eliminate the waiting time problem. If that were true, then the waiting time problem would only be meaningful within small populations. While our simulations show that larger populations do help reduce waiting time, we see that the benefit of larger population size produces rapidly diminishing returns (Table 4 and Fig. 4). When we increase the hominin population from 10,000 to 1 million (our current upper limit for these types of experiments), the waiting time for creating a string of five is only reduced from two billion to 482 million years. http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4573302/
Moreover, besides mathematics falsifying their theory, an even more fundamental difficulty that mathematics presents for Darwinists is that their theory is based on reductive materialism and yet mathmematics itself exists in some type of immaterial, beyond space and time, ‘Platonic’ realm,
What Does It Mean to Say That Science & Religion Conflict? – M. Anthony Mills – April 16, 2018 Excerpt: In fact, more problematic for the materialist than the non-existence of persons is the existence of mathematics. Why? Although a committed materialist might be perfectly willing to accept that you do not really exist, he will have a harder time accepting that numbers do not exist. The trouble is that numbers — along with other mathematical entities such as classes, sets, and functions — are indispensable for modern science. And yet — here’s the rub — these “abstract objects” are not material. Thus, one cannot take science as the only sure guide to reality and at the same time discount disbelief in all immaterial realities. https://www.realclearreligion.org/articles/2018/04/16/what_does_it_mean_to_say_that_science_and_religion_conflict.html
As Dr. Michael Egnor points out, “Mathematics is entirely about concepts, which have no precise instantiation in nature,,”
Naturalism and Self-Refutation – Michael Egnor – January 31, 2018 Excerpt: Mathematics is certainly something we do. Is mathematics “included in the space-time continuum [with] basic elements … described by physics”? It seems a stretch. What is the physics behind the Pythagorean theorem? After all, no actual triangle is perfect, and thus no actual triangle in nature has sides such that the Pythagorean theorem holds. There is no real triangle in which the sum of the squares of the sides exactly equals the square of the hypotenuse. That holds true for all of geometry. Geometry is about concepts, not about anything in the natural world or about anything that can be described by physics. What is the “physics” of the fact that the area of a circle is pi multiplied by the square of the radius? And of course what is natural and physical about imaginary numbers, infinite series, irrational numbers, and the mathematics of more than three spatial dimensions? Mathematics is entirely about concepts, which have no precise instantiation in nature,, https://evolutionnews.org/2018/01/naturalism-and-self-refutation/
And as David Berlinski noted,
An Interview with David Berlinski – Jonathan Witt Berlinski: There is no argument against religion that is not also an argument against mathematics. Mathematicians are capable of grasping a world of objects that lies beyond space and time…. Interviewer:… Come again(?) … Berlinski: No need to come again: I got to where I was going the first time. The number four, after all, did not come into existence at a particular time, and it is not going to go out of existence at another time. It is neither here nor there. Nonetheless we are in some sense able to grasp the number by a faculty of our minds. Mathematical intuition is utterly mysterious. So for that matter is the fact that mathematical objects such as a Lie Group or a differentiable manifold have the power to interact with elementary particles or accelerating forces. But these are precisely the claims that theologians have always made as well – that human beings are capable by an exercise of their devotional abilities to come to some understanding of the deity; and the deity, although beyond space and time, is capable of interacting with material objects. http://tofspot.blogspot.com/2013/10/found-upon-web-and-reprinted-here.html
And as James Franklin also noted,
The mathematical world – James Franklin – 7 April 2014 Excerpt: the intellect (is) immaterial and immortal. If today’s naturalists do not wish to agree with that, there is a challenge for them. ‘Don’t tell me, show me’: build an artificial intelligence system that imitates genuine mathematical insight. There seem to be no promising plans on the drawing board.,,, – James Franklin is professor of mathematics at the University of New South Wales in Sydney. http://aeon.co/magazine/world-views/what-is-left-for-mathematics-to-be-about/
Thus not only does mathematics prove that Darwinian evolution is impossible, mathematics also proves that we must have a immaterial mind in order to understand mathematics in the first place and that the reductive materialistic foundation of Darwinian evolution must therefore, necessarily, be false.bornagain77
July 23, 2019
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"When this stuff is happening, Darwinism is on the outs culturally." Well, no. Communism failed on a number of real world fronts, but it's followers still claim it's the Future of human society. And all of the posts here keep showing that Darwinists OWN the public forum and can get teachers fired for teaching "religion" in public schools if those teachers don't toe the Darwinian line in Science classes. I assume there will be some Great Collapse of Darwinism, rather like the eventual admission that Aether does NOT fill the space between celestial objects and most of the universe is a vacuum.vmahuna
July 22, 2019
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