Why God appears to be a mathematician

Totally agree IvoryLawrance

And then there's the supra-multiverse(tm) that generates multiverses. It's multiverses all the way up . . . -Q Querius

Hawking was a believer in Darwinism. The concept that the cosmos is generating itself is no more ridiculous than the conviction that macro-evolution is taking place. IvoryLawrance

There are three big problems with the multiverse “theory:” First, as some others have already pointed out, there is absolutely no evidence that a multiverse exists. Second, it’s not a scientific theory but a metaphysical speculation which can only be accepted on the basis of faith. Third, nobody has any idea how one universe could create another. Or, if there is some other mechanism for creating other universes, what is that mechanism? john_a_designer

john_a_designer @ 14 Hawking was a Darwinist. The universe creating itself is no more foolish than the belief that macro-evolution exists. BobRyan

Stephen Hawking in one of his later books claimed that the universe could "create itself from nothing." Ironically one of Hawking’s early collaborators, Roger Penrose, “who worked closely alongside Hawking in developing gravitational singularity theorems,” was highly critical of Hawking’s later work.

Asked whether science shows that the universe could "create itself from nothing" as claimed in the book, Penrose was strong in his condemnation of the 'string' theory that lies behind Hawking's statement: "It's certainly not doing it yet. I think the book suffers rather more strongly than many. It's not an uncommon thing in popular descriptions of science to latch onto an idea, particularly things to do with string theory, which have absolutely no support from observation. They are just nice ideas." He added that such ideas are ""very far from any testability. They are hardly science."

https://www.indcatholicnews.com/news.php?viewStory=16815 On the other hand, at least Hawking was honest enough try to start his argument with the succinct premise. The problem is that his premise that “the universe can create itself from nothing” is totally absurd. Any theory (metaphysical or scientific) which begins there is DOA. And obviously that doesn’t prove God is unnecessary as Hawking boasted. However, it does prove that there some highly educated intelligent people who believe some very foolish things. john_a_designer

Has anyone ever witnessed the existence of a multiverse? Just like macro-evolution, it has never been witnessed. Without someone actually witnessing something, it cannot be a scientific theory. In order to be a valid theory, a hypothesis must be something that is witnessed and the results replicated. BobRyan

Some time ago on another thread I wrote:

“If a necessary being exists it cannot be contingent. If it is even logically possible for the universe to be contingent how can anyone claim that it is necessary? In other words, if it is logically possible for the universe to be contingent then it cannot be logically necessary for it to be ontologically necessary. If a transcendent necessary being exists then it is logically necessary that it is ontologically necessary.”

Or in terms of the principle of sufficient reason: If the universe is contingent (it had a beginning in space and time) then it lacks a sufficient reason for its own existence. Invoking the so-called multiverse does not solve this problem because a collection of contingent things, even a very large or infinite collection of contingent things is not sufficient to explain its own existence. That was Leibniz’s point in his argument refuting an infinite regress. Also notice that for the atheist to argue that only contingent things exist he must smuggle in, or coopt, some theological concepts: infinite being, eternality and transcendence. For example, invoking the multiverse is an attempt to bring in an outside “transcendent” cause. Furthermore, it’s a purely metaphysical argument that is neither self-evidently true nor scientifically provable. Even if we are someday in the far distant future we are able to create artificial wormholes, as Kip Thorne suggest in his book, Black Holes & Time Warps, which he argues could theoretically tunnel through into another universe, how would we know that we are really in another universe? How could we ever know that there are an infinite number of other universes? In other words, are we supposed to accept (believe) the idea of the multiverse on faith? So then it appears that the claim that atheistic naturalism/materialism is more reasonable than theism is just so much pretension and posturing. Furthermore, none of this explains why we as a species are “hardwired” to ask these kind of questions? Why do we feel so compelled to explain our own existence? Why, for example, does the atheist-materialist feel so compelled to explain away all possible explanation but his own? Or an incorrigible agnostic to claim absurdly that because he doesn’t know, therefore, nobody knows? john_a_designer

Freeman Dyson always has interesting and insightful things to say. I'm glad I had the chance to meet him and chat briefly with him a few years ago. Truly a genius. BrunoAr

Roger Penrose describes his metaphysical world view as a tripartite one consisting of the physical world, the mental world and separate and distinct mathematical world. He goes on to explain that… ’there is the relationship between these three worlds which I regard, all three of them, as somewhat mysterious or very mysterious. I sometimes refer to this as “three worlds and three mysteries.” Mystery number one is how is it that the physical world does in fact accord with mathematics, and not just any mathematics but very sophisticated, subtle mathematics to such a fantastic degree of precision. That’s mystery number one.’ However, since Penrose is a non-theist (according to Wikipedia, which quotes a BBC interview) I don’t see that he has any other choice but to postulate the existence of a separate transcendent Platonic realm. But this is probably too high of a cost for other naturalists to pay (of course, it’s unthinkable for a died-in-the-wool materialist.) That’s no doubt why, as we have typically seen here before, a stubborn resistance to the idea that mathematics is discovered by several of our interlocutors. But if we reject the idea of a transcendent mathematical realm where does our mathematical knowledge and know-how come from? From our minds-- which is an epiphenomena of our brains… which is the product of a long mindless evolutionary process. If you begin with those assumptions that’s where the logic leads you, therefore, mathematics must be a human invention. The problem is that you first need to prove that your metaphysical presuppositions are true or that they are more probably true than not. On the other hand, here are several good reasons as to why I believe that mathematical truth is discovered not invented. *1. Numbers have properties that do not appear to have been invented. For example, there some unsolved conjectures about prime numbers that are hard to explain if we are the inventors. Namely if we are the inventors why has no one been able to prove (or disprove) that the set of twin primes is infinite? Or why do the Goldbach conjecture and Riemann Hypothesis continue to be unsolved? Wouldn’t the putative inventors of mathematics be able to resolve these problems? *2. The applicability of mathematics to the real world. For example, sometime ago, in an earlier thread I pointed out that “One of the most significant discoveries in science was the discovery of the inverse square law (credited to Kepler for light) which is derived directly from the geometry of a sphere. The ISL applies to both electromagnetism and gravity, though the force constants for each vary.” https://www.thehighersidechatsplus.com/forums/media/inverse-square-law-and-wave-function.105/full?d=1503980290 Where would physics be without this discovery? And that’s only one example. *3. It appears that the human mind and brain are preadapted to do mathematics. What immediate survival advantage would doing higher mathematics and doing it accurately have for a highly evolved species of hunter-gatherer apes? *4. The universality of mathematics. SETI enthusiasts have suggested that we could use mathematics to communicate with ETI’s. For example, “In the 1985 science fiction novel Contact, Carl Sagan explored in some depth how a message might be constructed to allow communication with an alien civilization, using prime numbers as a starting point, followed by various universal principles and facts of mathematics and science.” https://en.wikipedia.org/wiki/Communication_with_extraterrestrial_intelligence How could mathematics be universal if it was invented by us? *5. Historically mathematics set the stage for the scientific revolution. Kepler and Galileo and Newton were all mathematicians who believed that at its root the universe was mathematical. In other words, they began with the assumption that the universe could be described mathematically. *6. Mathematics is grounded in rational deductive logic which is used in not only in the natural sciences but in criminal investigations and legal justice systems around the world. *7. Mathematics is objectively true. For example, it doesn’t matter what your opinion is or what you believe about the following numbers: 32319, 32321, 32323, only one or two of them could be a prime numbers or none of them could be. However, your subjective opinion is irrelevant and there nothing you can do or believe to change the facts. john_a_designer

The multiverse is just moar evidence for God. Materialism can't account for a UNIverse and that means there isn't any way it can account for a multiverse. ET

Sev claims that,

"So mathematics is good if it leads towards God but bad if it leads towards a multiverse?"

The multiverse, where it is mathematically held that an infinite number of Severskys exist, (as should be needless to say), commits epistemological and mathematical suicide:

Why the Many-Worlds Interpretation Has Many Problems - Philip Ball - October 18, 2018 Excerpt: It, (The Many Worlds Interpretation of Quantum Mechanics), says that our unique experience as individuals is not simply a bit imperfect, a bit unreliable and fuzzy, but is a complete illusion. If we really pursue that idea, rather than pretending that it gives us quantum siblings, we find ourselves unable to say anything about anything that can be considered a meaningful truth. We are not just suspended in language; we have denied language any agency. The MWI — if taken seriously — is unthinkable. Its implications undermine a scientific description of the world far more seriously than do those of any of its rivals. The MWI tells you not to trust empiricism at all: Rather than imposing the observer on the scene, it destroys any credible account of what an observer can possibly be. Some Everettians insist that this is not a problem and that you should not be troubled by it. Perhaps you are not, but I am. https://www.quantamagazine.org/why-the-many-worlds-interpretation-of-quantum-mechanics-has-many-problems-20181018/ Atheist Physicist Sean Carroll: An Infinite Number of Universes Is More Plausible Than God – Michael Egnor – August 2, 2017 Excerpt: as I noted, the issue here isn’t physics or even logic. The issue is psychiatric. We have a highly accomplished physicist, who regards the existence of God as preposterous, asserting that the unceasing creation of infinite numbers of new universes by every atom in the cosmos at every moment is actually happening (as we speak!), and that it is a perfectly rational and sane inference. People have been prescribed anti-psychotic drugs for less. Now of course Carroll isn’t crazy, not in any medical way. He’s merely given his assent to a crazy ideology — atheist materialism —,,, What can we in the reality-based community do when an ideology — the ideology that is currently dominant in science — is not merely wrong, but delusional? I guess calling it what it is is a place to start. https://evolutionnews.org/2017/08/atheist-physicist-sean-carroll-an-infinite-number-of-universes-is-more-plausible-than-god/ Multiverse and the Design Argument – William Lane Craig Excerpt: Roger Penrose of Oxford University has calculated that the odds of our universe’s low entropy condition obtaining by chance alone are on the order of 1 in 10^10(123), an inconceivable number. If our universe were but one member of a multiverse of randomly ordered worlds, then it is vastly more probable that we should be observing a much smaller universe. For example, the odds of our solar system’s being formed instantly by the random collision of particles is about 1 in 10^10(60), a vast number, but inconceivably smaller than 1 in 10^10(123). (Penrose calls it “utter chicken feed” by comparison [The Road to Reality (Knopf, 2005), pp. 762-5]). Or again, if our universe is but one member of a multiverse, then we ought to be observing highly extraordinary events, like horses’ popping into and out of existence by random collisions, or perpetual motion machines, since these are vastly more probable than all of nature’s constants and quantities’ falling by chance into the virtually infinitesimal life-permitting range. Observable universes like those strange worlds are simply much more plenteous in the ensemble of universes than worlds like ours and, therefore, ought to be observed by us if the universe were but a random member of a multiverse of worlds. Since we do not have such observations, that fact strongly disconfirms the multiverse hypothesis. On naturalism, at least, it is therefore highly probable that there is no multiverse. — Penrose puts it bluntly “these world ensemble hypothesis are worse than useless in explaining the anthropic fine-tuning of the universe”. http://www.reasonablefaith.org/multiverse-and-the-design-argument The Fine Tuning of the Universe – drcraigvideos – video https://www.youtube.com/watch?v=UpIiIaC4kRA

Also of note:

May 2020 – (unlike all these various multiverse scenarios for which atheists have no physical evidence), the evidence from Special Relativity, (which is currently one of our most powerful theories in science), strongly supports the physical reality of a timeless eternity and of a heavenly dimension that exists above this temporal dimension. https://uncommondesc.wpengine.com/intelligent-design/michael-egnor-neuroscientists-cant-dismiss-near-death-experiences/#comment-702863 Matthew 6:33 But seek first the kingdom of God and his righteousness, and all these things will be added to you.

bornagain77

Sev, there is no sound empirical warrant for a multiverse. By contrast, the ordering of the observed cosmos is akin to the working of a mind. KF kairosfocus

So mathematics is good if it leads towards God but bad if it leads towards a multiverse? Seversky

Moreover, this recent 2019 experimental confirmation of the “Wigner’s Friend” thought experiment established that “measurement results,, must be understood relative to the observer who performed the measurement”.

More Than One Reality Exists (in Quantum Physics) By Mindy Weisberger – March 20, 2019 Excerpt: “measurement results,, must be understood relative to the observer who performed the measurement”. https://www.livescience.com/65029-dueling-reality-photons.html Experimental test of local observer-independence - 2019 Excerpt: The scientific method relies on facts, established through repeated measurements and agreed upon universally, independently of who observed them. In quantum mechanics, the objectivity of observations is not so clear, most dramatically exposed in Eugene Wigner’s eponymous thought experiment where two observers can experience seemingly different realities. The question whether these realities can be reconciled in an observer-independent way has long remained inaccessible to empirical investigation, until recent no-go-theorems constructed an extended Wigner’s friend scenario with four observers that allows us to put it to the test. In a state-of-the-art 6-photon experiment, we realise this extended Wigner’s friend scenario, experimentally violating the associated Bell-type inequality by 5 standard deviations. If one holds fast to the assumptions of locality and free-choice, this result implies that quantum theory should be interpreted in an observer-dependent way. https://arxiv.org/pdf/1902.05080.pdf

On top of all that, although there have been several major loopholes in quantum mechanics over the past several decades that atheists have tried to appeal to in order to try to avoid the ‘spooky’ Theistic implications of quantum mechanics, over the past several years each of those major loopholes have each been closed one by one. The last major loophole that was left to be closed was the “setting independence” and/or the ‘free-will’ loophole:

Closing the ‘free will’ loophole: Using distant quasars to test Bell’s theorem – February 20, 2014 Excerpt: Though two major loopholes have since been closed, a third remains; physicists refer to it as “setting independence,” or more provocatively, “free will.” This loophole proposes that a particle detector’s settings may “conspire” with events in the shared causal past of the detectors themselves to determine which properties of the particle to measure — a scenario that, however far-fetched, implies that a physicist running the experiment does not have complete free will in choosing each detector’s setting. Such a scenario would result in biased measurements, suggesting that two particles are correlated more than they actually are, and giving more weight to quantum mechanics than classical physics. “It sounds creepy, but people realized that’s a logical possibility that hasn’t been closed yet,” says MIT’s David Kaiser, the Germeshausen Professor of the History of Science and senior lecturer in the Department of Physics. “Before we make the leap to say the equations of quantum theory tell us the world is inescapably crazy and bizarre, have we closed every conceivable logical loophole, even if they may not seem plausible in the world we know today?” https://www.sciencedaily.com/releases/2014/02/140220112515.htm

And now Anton Zeilinger and company have recently, as of 2018, pushed the ‘free will loophole’ back to 7.8 billion years ago, thereby firmly establishing the ‘common sense’ fact that the free will choices of the experimenter in the quantum experiments are truly free and are not determined by any possible causal influences from the past for at least the last 7.8 billion years, and that the experimenters themselves are therefore shown to be truly free to choose whatever measurement settings in the experiments that he or she may so desire to choose so as to ‘logically’ probe whatever aspect of reality that he or she may be interested in probing.

Cosmic Bell Test Using Random Measurement Settings from High-Redshift Quasars – Anton Zeilinger – 14 June 2018 Abstract: In this Letter, we present a cosmic Bell experiment with polarization-entangled photons, in which measurement settings were determined based on real-time measurements of the wavelength of photons from high-redshift quasars, whose light was emitted billions of years ago; the experiment simultaneously ensures locality. Assuming fair sampling for all detected photons and that the wavelength of the quasar photons had not been selectively altered or previewed between emission and detection, we observe statistically significant violation of Bell’s inequality by 9.3 standard deviations, corresponding to an estimated p value of approx. 7.4 × 10^21. This experiment pushes back to at least approx. 7.8 Gyr ago the most recent time by which any local-realist influences could have exploited the “freedom-of-choice” loophole to engineer the observed Bell violation, excluding any such mechanism from 96% of the space-time volume of the past light cone of our experiment, extending from the big bang to today. https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.080403

Thus regardless of how Steven Weinberg and other atheists may prefer the universe to behave, with the closing of the last remaining free will loophole in quantum mechanics, “humans are (indeed) brought into the laws of nature at the most fundamental level”, and thus these recent findings from quantum mechanics directly undermine, as Weinberg himself stated, the “vision that became possible after Darwin, of a world governed by impersonal physical laws that control human behavior along with everything else.” Moreover allowing free will and/or Agent causality into the laws of physics at their most fundamental level has some fairly profound implications for us personally. First and foremost, allowing the Agent causality of God ‘back’ into physics, as the Christian founders of modern science originally envisioned,,,, (Isaac Newton, Michael Faraday, James Clerk Maxwell, and Max Planck, to name a few of the Christian founders),,, and as quantum mechanics itself now empirically demands (with the closing of the free will loophole by Anton Zeilinger and company), rightly allowing the Agent causality of God ‘back’ into physics provides us with a very plausible resolution for the much sought after ‘theory of everything’ in that Christ’s resurrection from the dead provides an empirically backed reconciliation, via the Shroud of Turin, between quantum mechanics and general relativity into the much sought after ‘Theory of Everything”. Here are a few posts where I lay out and defend some of the evidence for that claim:

November 2019 – despite the fact that virtually everyone, including the vast majority of Christians, hold that the Copernican Principle (and/or the principle of mediocrity) is unquestionably true, the fact of the matter is that the Copernican Principle is now empirically shown, (via quantum mechanics and general relativity, etc..), to be a false assumption. https://uncommondesc.wpengine.com/intelligent-design/so-then-maybe-we-are-privileged-observers/#comment-688855 (February 19, 2019) To support Isabel Piczek’s claim that the Shroud of Turin does indeed reveal a true ‘event horizon’, the following study states that ‘The bottom part of the cloth (containing the dorsal image) would have born all the weight of the man’s supine body, yet the dorsal image is not encoded with a greater amount of intensity than the frontal image.’,,, Moreover, besides gravity being dealt with, the shroud also gives us evidence that Quantum Mechanics was dealt with. In the following paper, it was found that it was not possible to describe the image formation on the Shroud in classical terms but they found it necessary to describe the formation of the image on the Shroud in discrete quantum terms. https://uncommondesc.wpengine.com/intelligent-design/experiment-quantum-particles-can-violate-the-mathematical-pigeonhole-principle/#comment-673178 The evidence for the Shroud’s authenticity keeps growing. (Timeline of facts) – November 08, 2019 What Is the Shroud of Turin? Facts & History Everyone Should Know – Myra Adams and Russ Breault https://www.christianity.com/wiki/jesus-christ/what-is-the-shroud-of-turin.html

To give us a small glimpse of the power that was involved in Christ's resurrection from the dead, the following recent article found that, ”it would take 34 Thousand Billion Watts (34 trillion Watts) of VUV radiations to make the image on the shroud. This output of electromagnetic energy remains beyond human technology.”

Astonishing discovery at Christ’s tomb supports Turin Shroud – NOV 26TH 2016 Excerpt: The first attempts made to reproduce the face on the Shroud by radiation, used a CO2 laser which produced an image on a linen fabric that is similar at a macroscopic level. However, microscopic analysis showed a coloring that is too deep and many charred linen threads, features that are incompatible with the Shroud image. Instead, the results of ENEA “show that a short and intense burst of VUV directional radiation can color a linen cloth so as to reproduce many of the peculiar characteristics of the body image on the Shroud of Turin, including shades of color, the surface color of the fibrils of the outer linen fabric, and the absence of fluorescence”. ‘However, Enea scientists warn, “it should be noted that the total power of VUV radiations required to instantly color the surface of linen that corresponds to a human of average height, body surface area equal to = 2000 MW/cm2 17000 cm2 = 34 thousand billion (34 trillion) watts makes it impractical today to reproduce the entire Shroud image using a single laser excimer, since this power cannot be produced by any VUV light source built to date (the most powerful available on the market come to several billion watts )”. Comment The ENEA study of the Holy Shroud of Turin concluded that it would take 34 Thousand Billion Watts of VUV radiations to make the image on the shroud. This output of electromagnetic energy remains beyond human technology. http://westvirginianews.blogspot.com/2011/12/new-study-claims-shroud-of-turin-is.html

Verse:

Colossians 1:15-20 The Son is the image of the invisible God, the firstborn over all creation. For in him all things were created: things in heaven and on earth, visible and invisible, whether thrones or powers or rulers or authorities; all things have been created through him and for him. He is before all things, and in him all things hold together. And he is the head of the body, the church; he is the beginning and the firstborn from among the dead, so that in everything he might have the supremacy. For God was pleased to have all his fullness dwell in him, and through him to reconcile to himself all things, whether things on earth or things in heaven, by making peace through his blood, shed on the cross.

bornagain77

Stephen Hawking himself, an atheist, honestly admitted that “Gödel’s incompleteness theorem (1931), proves that there are limits to what can be ascertained by mathematics. Kurt Gödel halted the achievement of a unifying all-encompassing theory of everything in his theorem that: “Anything you can draw a circle around cannot explain itself without referring to something outside the circle—something you have to assume but cannot prove”

“Gödel’s incompleteness theorem (1931), proves that there are limits to what can be ascertained by mathematics. Kurt Gödel halted the achievement of a unifying all-encompassing theory of everything in his theorem that: “Anything you can draw a circle around cannot explain itself without referring to something outside the circle—something you have to assume but cannot prove” – Stephen Hawking & Leonard Miodinow, The Grand Design (2010)

As well, Steven Weinberg, also an atheist, also honestly admitted that, " “I don’t think one should underestimate the fix we are in. That in the end we will not be able to explain the world. That we will have some set of laws of nature (that) we will not be able to derive them on the grounds simply of mathematical consistency. Because we can already think of mathematically consistent laws that don’t describe the world as we know it. And we will always be left with a question ‘why are the laws of nature what they are rather than some other laws?’. And I don’t see any way out of that."

“I don’t think one should underestimate the fix we are in. That in the end we will not be able to explain the world. That we will have some set of laws of nature (that) we will not be able to derive them on the grounds simply of mathematical consistency. Because we can already think of mathematically consistent laws that don’t describe the world as we know it. And we will always be left with a question ‘why are the laws of nature what they are rather than some other laws?’. And I don’t see any way out of that. The fact that the constants of nature are suitable for life, which is clearly true, we observe,,,” (Weinberg then comments on the multiverse conjecture of atheists) “No one has constructed a theory in which that is true. I mean,, the (multiverse) theory would be speculative, but we don’t even have a theory in which that speculation is mathematically realized. But it is a possibility.” - Steven Weinberg – as stated to Richard Dawkins at the 8:15 minute mark of the following video - Leonard Susskind - Richard Dawkins and Steven Weinberg - 1 in 10^120 - Cosmological Constant points to intelligent design - video https://youtu.be/z4E_bT4ecgk?t=495

In fact, there are an infinite number of mathematical theorems that could have described the universe but don't, As Gregory Chaitin pointed out, "what Gödel discovered was just the tip of the iceberg: an infinite number of true mathematical theorems exist that cannot be proved from any finite system of axioms. "

The Limits Of Reason – Gregory Chaitin – 2006 Excerpt: Unlike Gödel’s approach, mine is based on measuring information and showing that some mathematical facts cannot be compressed into a theory because they are too complicated. This new approach suggests that what Gödel discovered was just the tip of the iceberg: an infinite number of true mathematical theorems exist that cannot be proved from any finite system of axioms. http://www.umcs.maine.edu/~chaitin/sciamer3.pdf

Mathematics, contrary to what the vast majority of theoretical physicists believe today, simply never will have the capacity within itself to function as a God substitute. As Dr. Brice Gordon explains, "The world of space, time, matter and energy is dependent on a reality that transcends space, time, matter and energy. This transcendent reality cannot merely be a Platonic realm of mathematical descriptions, for such things are causally inert abstract entities that do not affect the material world,,, Rather, the transcendent reality on which our universe depends must be something that can exhibit agency – a mind that can choose among the infinite variety of mathematical descriptions and bring into existence a reality that corresponds to a consistent subset of them. This is what “breathes fire into the equations and makes a universe for them to describe.”

BRUCE GORDON: Hawking’s irrational arguments – October 2010 Excerpt: ,,,The physical universe is causally incomplete and therefore neither self-originating nor self-sustaining. The world of space, time, matter and energy is dependent on a reality that transcends space, time, matter and energy. This transcendent reality cannot merely be a Platonic realm of mathematical descriptions, for such things are causally inert abstract entities that do not affect the material world,,, Rather, the transcendent reality on which our universe depends must be something that can exhibit agency – a mind that can choose among the infinite variety of mathematical descriptions and bring into existence a reality that corresponds to a consistent subset of them. This is what “breathes fire into the equations and makes a universe for them to describe.” Anything else invokes random miracles as an explanatory principle and spells the end of scientific rationality.,,, Universes do not “spontaneously create” on the basis of abstract mathematical descriptions, nor does the fantasy of a limitless multiverse trump the explanatory power of transcendent intelligent design. What Mr. Hawking’s contrary assertions show is that mathematical savants can sometimes be metaphysical simpletons. Caveat emptor. http://www.washingtontimes.com/news/2010/oct/1/hawking-irrational-arguments/

As to "a mind that can choose among the infinite variety of mathematical descriptions and bring into existence a reality that corresponds to a consistent subset of them" it is also interesting to note that 'free will', i.e. "a mind that can choose", plays a fundamental role in Quantum Mechanics itself, As Steven Weinberg explains, "In the instrumentalist approach (in quantum mechanics) humans are brought into the laws of nature at the most fundamental level.,,, the instrumentalist approach turns its back on a vision that became possible after Darwin, of a world governed by impersonal physical laws that control human behavior along with everything else.,,, In quantum mechanics these probabilities do not exist until people choose what to measure,,, Unlike the case of classical physics, a choice must be made,,,"

The Trouble with Quantum Mechanics – Steven Weinberg – January 19, 2017 Excerpt: The instrumentalist approach,, (the) wave function,, is merely an instrument that provides predictions of the probabilities of various outcomes when measurements are made.,, In the instrumentalist approach,,, humans are brought into the laws of nature at the most fundamental level. According to Eugene Wigner, a pioneer of quantum mechanics, “it was not possible to formulate the laws of quantum mechanics in a fully consistent way without reference to the consciousness.”11 Thus the instrumentalist approach turns its back on a vision that became possible after Darwin, of a world governed by impersonal physical laws that control human behavior along with everything else. It is not that we object to thinking about humans. Rather, we want to understand the relation of humans to nature, not just assuming the character of this relation by incorporating it in what we suppose are nature’s fundamental laws, but rather by deduction from laws that make no explicit reference to humans. We may in the end have to give up this goal,,, Some physicists who adopt an instrumentalist approach argue that the probabilities we infer from the wave function are objective probabilities, independent of whether humans are making a measurement. I don’t find this tenable. In quantum mechanics these probabilities do not exist until people choose what to measure, such as the spin in one or another direction. Unlike the case of classical physics, a choice must be made,,, http://quantum.phys.unm.edu/466-17/QuantumMechanicsWeinberg.pdf

In fact Weinberg, again an atheist, rejected the instrumentalist approach precisely because “humans are brought into the laws of nature at the most fundamental level” and because it undermined the Darwinian worldview from within. Yet, regardless of how he and other atheists may prefer the world to behave, quantum mechanics itself could care less how atheists prefer the world to behave. For instance, and as leading experimentalist Anton Zeilinger states in the following video, “what we perceive as reality now depends on our earlier decision what to measure. Which is a very, very, deep message about the nature of reality and our part in the whole universe. We are not just passive observers.”

“The Kochen-Speckter Theorem talks about properties of one system only. So we know that we cannot assume – to put it precisely, we know that it is wrong to assume that the features of a system, which we observe in a measurement exist prior to measurement. Not always. I mean in certain cases. So in a sense, what we perceive as reality now depends on our earlier decision what to measure. Which is a very, very, deep message about the nature of reality and our part in the whole universe. We are not just passive observers.” Anton Zeilinger – Quantum Physics Debunks Materialism – video (7:17 minute mark) https://www.youtube.com/watch?feature=player_detailpage&v=4C5pq7W5yRM#t=437

The Kochen-Specker theorem undermines the determinism of atheistic materialists in the most fundamental way possible in that "it would not even be possible to place the information into the universe's past in an ad hoc way."

The free will theorem of John H. Conway and Simon B. Kochen,,, Since the free will theorem applies to any arbitrary physical theory consistent with the axioms, it would not even be possible to place the information into the universe's past in an ad hoc way. The argument proceeds from the Kochen-Specker theorem, which shows that the result of any individual measurement of spin was not fixed (pre-determined) independently of the choice of measurements. http://www.informationphilosopher.com/freedom/free_will_theorem.html

As well, with contextuality we find that, “In the quantum world, the property that you discover through measurement is not the property that the system actually had prior to the measurement process. What you observe necessarily depends on how you carried out the observation”

Contextuality is ‘magic ingredient’ for quantum computing – June 11, 2012 Excerpt: Contextuality was first recognized as a feature of quantum theory almost 50 years ago. The theory showed that it was impossible to explain measurements on quantum systems in the same way as classical systems. In the classical world, measurements simply reveal properties that the system had, such as colour, prior to the measurement. In the quantum world, the property that you discover through measurement is not the property that the system actually had prior to the measurement process. What you observe necessarily depends on how you carried out the observation. http://phys.org/news/2014-06-weird-magic-ingredient-quantum.html

bornagain77

Interestingly, a essential belief in the rise of modern science was the Christian belief that mathematics, especially any mathematics that might describe this universe, was, and is, the product of the Mind of God. And as Paul Davies observed, “All the early scientists, like Newton, were religious in one way or another. They saw their science as a means of uncovering traces of God’s handiwork in the universe. What we now call the laws of physics they regarded as God’s abstract creation: thoughts, so to speak, in the mind of God. So in doing science, they supposed, one might be able to glimpse the mind of God – an exhilarating and audacious claim.”

“All the early scientists, like Newton, were religious in one way or another. They saw their science as a means of uncovering traces of God’s handiwork in the universe. What we now call the laws of physics they regarded as God’s abstract creation: thoughts, so to speak, in the mind of God. So in doing science, they supposed, one might be able to glimpse the mind of God – an exhilarating and audacious claim.” – Paul Davies http://ldolphin.org/bumbulis/

And as Ian H. Hutchinson noted in the following article on Faraday and Maxwell, “Lawfulness was not, in their thinking, inert, abstract, logical necessity, or complete reducibility to Cartesian mechanism; rather, it was an expectation they attributed to the existence of a divine lawgiver.”

The Genius and Faith of Faraday and Maxwell – Ian H. Hutchinson – 2014 Conclusion: Lawfulness was not, in their thinking, inert, abstract, logical necessity, or complete reducibility to Cartesian mechanism; rather, it was an expectation they attributed to the existence of a divine lawgiver. These men’s insights into physics were made possible by their religious commitments. For them, the coherence of nature resulted from its origin in the mind of its Creator. http://www.thenewatlantis.com/publications/the-genius-and-faith-of-faraday-and-maxwell

In 1619, Johannes Kepler, shortly after discovering the laws of planetary motion, stated,

“O, Almighty God, I am thinking Thy thoughts after Thee!” – Johannes Kepler, 1619, The Harmonies of the World.

Likewise in 1687, Sir Isaac Newton, after discovering the law of universal gravitation, (which has been referred to as the first major unification in physics),

Newton’s Law of Universal Gravitation Excerpt: The first major unification in physics was Sir Isaac Newton’s realization that the same force that caused an apple to fall at the Earth’s surface—gravity—was also responsible for holding the Moon in orbit about the Earth. This universal force would also act between the planets and the Sun, providing a common explanation for both terrestrial and astronomical phenomena. https://www.learner.org/courses/physics/unit/text.html?unit=3&secNum=3

Likewise in 1687, Sir Isaac Newton, after discovering the law of universal gravitation, stated that, “This most beautiful system of the sun, planets, and comets, could only proceed from the counsel and dominion of an intelligent and powerful Being.,,,This Being governs all things, not as the soul of the world, but as Lord over all;"

“This most beautiful system of the sun, planets, and comets, could only proceed from the counsel and dominion of an intelligent and powerful Being. And if the fixed stars are the centres of other like systems, these, being formed by the like wise counsel, must be all subject to the dominion of One; especially since the light of the fixed stars is of the same nature with the light of the sun, and from every system light passes into all the other systems: and lest the systems of the fixed stars should, by their gravity, fall on each other mutually, he hath placed those systems at immense distances one from another. This Being governs all things, not as the soul of the world, but as Lord over all; and on account of his dominion he is wont to be called Lord God pantokrator, or Universal Ruler;,,, The Supreme God is a Being eternal, infinite, absolutely perfect;,,, from his true dominion it follows that the true God is a living, intelligent, and powerful Being; and, from his other perfections, that he is supreme, or most perfect. He is eternal and infinite, omnipotent and omniscient; that is, his duration reaches from eternity to eternity; his presence from infinity to infinity; he governs all things, and knows all things that are or can be done. He is not eternity or infinity, but eternal and infinite; he is not duration or space, but he endures and is present. He endures for ever, and is every where present”: Sir Isaac Newton - Principia; 1687, GENERAL SCHOLIUM. http://gravitee.tripod.com/genschol.htm

It is also interesting to note that physicists today have regressed back to the "pre-scientific" belief that mathematics has an existence that is independent of the Mind of God. As Paul Davies further explained, "Christians envisage God as upholding the natural order from beyond the universe, while physicists (today) think of their laws as inhabiting an abstract transcendent realm of perfect mathematical relationships.”

Taking Science on Faith – By PAUL DAVIES – NOV. 24, 2007 Excerpt: All science proceeds on the assumption that nature is ordered in a rational and intelligible way. You couldn’t be a scientist if you thought the universe was a meaningless jumble of odds and ends haphazardly juxtaposed. ,,, the very notion of physical law is a theological one in the first place, a fact that makes many scientists squirm. Isaac Newton first got the idea of absolute, universal, perfect, immutable laws from the Christian doctrine that God created the world and ordered it in a rational way. Christians envisage God as upholding the natural order from beyond the universe, while physicists (today) think of their laws as inhabiting an abstract transcendent realm of perfect mathematical relationships. http://www.nytimes.com/2007/11/24/opinion/24davies.html

That physicists today “think of their laws as inhabiting an abstract transcendent realm of perfect mathematical relationships" and that mathematics is not ‘contingent’ upon the Mind of God for its existence, is, philosophically speaking, a major step backwards for today’s physicist compared to the Christian founders of modern science.

KEEP IT SIMPLE by Edward Feser - April 2020 Excerpt: Mathematics appears to describe a realm of entities with quasi-divine attributes. The series of natural numbers is infinite. That one and one equal two and two and two equal four could not have been otherwise. Such mathematical truths never begin being true or cease being true; they hold eternally and immutably. The lines, planes, and figures studied by the geometer have a kind of perfection that the objects of our experience lack. Mathematical objects seem immaterial and known by pure reason rather than through the senses. Given the centrality of mathematics to scientific explanation, it seems in some way to be a cause of the natural world and its order. How can the mathematical realm be so apparently godlike? The traditional answer, originating in Neoplatonic philosophy and Augustinian theology, is that our knowledge of the mathematical realm is precisely knowledge, albeit inchoate, of the divine mind. Mathematical truths exhibit infinity, necessity, eternity, immutability, perfection, and immateriality because they are God’s thoughts, and they have such explanatory power in scientific theorizing because they are part of the blueprint implemented by God in creating the world. For some thinkers in this tradition, mathematics thus provides the starting point for an argument for the existence of God qua supreme intellect. There is also a very different answer, in which the mathematical realm is a rival to God rather than a path to him. According to this view, mathematical objects such as numbers and geometrical figures exist not only independently of the material world, but also independently of any mind, including the divine mind. They occupy a “third realm” of their own, the realm famously described in Plato’s Theory of Forms. God used this third realm as a blueprint when creating the physical world, but he did not create the realm itself and it exists outside of him. This position is usually called Platonism since it is commonly thought to have been Plato’s own view, as distinct from that of his Neoplatonic followers who relocated mathematical objects and other Forms into the divine mind. (I put to one side for present purposes the question of how historically accurate this standard narrative is.) https://www.firstthings.com/article/2020/04/keep-it-simple

Physicists today, especially with the proof of Godel's incompleteness theorems sitting right before them, simply have no basis for their belief that mathematics, all by its lonesome, can somehow function as a God substitute,

THE GOD OF THE MATHEMATICIANS - DAVID P. GOLDMAN - August 2010 Excerpt: we cannot construct an ontology that makes God dispensable. Secularists can dismiss this as a mere exercise within predefined rules of the game of mathematical logic, but that is sour grapes, for it was the secular side that hoped to substitute logic for God in the first place. Gödel's critique of the continuum hypothesis has the same implication as his incompleteness theorems: Mathematics never will create the sort of closed system that sorts reality into neat boxes. http://www.firstthings.com/article/2010/08/the-god-of-the-mathematicians

As the following article states, “Kurt Gödel had dropped a bomb on the foundations of mathematics. Math could not play the role of God as infinite and autonomous.”

Taking God Out of the Equation – Biblical Worldview – by Ron Tagliapietra – January 1, 2012 Excerpt: Kurt Gödel (1906–1978) proved that no logical systems (if they include the counting numbers) can have all three of the following properties. 1. Validity … all conclusions are reached by valid reasoning. 2. Consistency … no conclusions contradict any other conclusions. 3. Completeness … all statements made in the system are either true or false. The details filled a book, but the basic concept was simple and elegant. He (Godel) summed it up this way: “Anything you can draw a circle around cannot explain itself without referring to something outside the circle—something you have to assume but cannot prove.” For this reason, his proof is also called the Incompleteness Theorem. Kurt Gödel had dropped a bomb on the foundations of mathematics. Math could not play the role of God as infinite and autonomous. It was shocking, though, that logic could prove that mathematics could not be its own ultimate foundation. Christians should not have been surprised. The first two conditions are true about math: it is valid and consistent. But only God fulfills the third condition. Only He is complete and therefore self-dependent (autonomous). God alone is “all in all” (1 Corinthians 15:28), “the beginning and the end” (Revelation 22:13). God is the ultimate authority (Hebrews 6:13), and in Christ are hidden all the treasures of wisdom and knowledge (Colossians 2:3). http://www.answersingenesis.org/articles/am/v7/n1/equation#

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Logic of structure and quantity. kairosfocus

The only disagreement I have is we don't invent math, anymore than we invent the laws of physics. All formulas already exist and waiting for the right mind to discover what was created by an intelligent designer called God. BobRyan