Tag Archives: William Lane Craig

William Lane Craig on the unexpected applicability of mathematics to nature

You might remember that Dr. Craig used a new argument in his debate with Lawrence Krauss in Melbourne, Australia.

My notes on the debate record it thus:

The unreasonable effectiveness of mathematics:

  • The underlying structure of nature is mathematical – mathematics is applicable to nature
  • Mathematical objects can either be abstract objects or useful fiction
  • Either way, there is no reason to expect that nature should be linked to abstract objects or fictions
  • But a divine mind that wants humans to understand nature is a better explanation for what we see

And now Dr. Craig has expanded on it in the Q&A section of his Reasonable Faith web site.

The question:

Dear Dr Craig

Firstly can I thank you for all your work. My faith in Christ has been enormously strengthened through studying your work in apologetics in particular and I have grown in confidence in my Christian witness.

My question relates to numbers and mathematics as a whole. On the Defenders podcast you state that as God is the only self-existent, necessary being, numbers and mathematical objects, whilst being useful, don’t actually exist as these too would exist necessarily and independently of God. If this is the case, how can it be that mathematics is so easily applied to the natural world? Surely if mathematics only existed in our minds, we would expect to see no correlation between it and how the physical world actually is?

Michael

United Kingdom

Excerpt from the answer:

As philosopher of mathematics Mary Leng points out, for the non-theistic realist, the fact that physical reality behaves in line with the dictates of acausal mathematical entities existing beyond space and time is “a happy coincidence” (Mathematics and Reality [Oxford: Oxford University Press, 2010], p. 239). Think about it: If, per impossibile, all the abstract objects in the mathematical realm were to disappear overnight, there would be no effect on the physical world. This is simply to reiterate that abstract objects are causally inert. The idea that realism somehow accounts for the applicability of mathematics “is actually very counterintuitive,” muses Mark Balaguer, a philosopher of mathematics. “The idea here is that in order to believe that the physical world has the nature that empirical science assigns to it, I have to believe that there are causally inert mathematical objects, existing outside of spacetime,” an idea which is inherently implausible (Platonism and Anti-Platonism in Mathematics [New York: Oxford University Press, 1998], p. 136).

By contrast, the theistic realist can argue that God has fashioned the world on the structure of the mathematical objects. This is essentially what Plato believed. The world has mathematical structure as a result.

This argument was also made by mechanical engineering professor Walter Bradley in a lecture he gave on scientific evidence for an intelligent designer. You can read an essay that covers some of the material in that lecture at Leadership University.

Excerpt:

The physical universe is surprising in the simple mathematical form it assumes. All the basic laws of physics and fundamental relationships can be described on one side of one sheet of paper because they are so few in number and so simple in form (see table 1.1).

[…]It has been widely recognized for some time that nature assumes a form that is elegantly described by a relatively small number of simple, mathematical relationships, as previously noted in table 1.1. None of the various proposals presented later in this chapter to explain the complexity of the universe address this issue. Albert Einstein in a letter to a friend expressed his amazement that the universe takes such a form (Einstein 1956), saying:

You find it strange that I consider the comprehensibility of the world to the degree that we may speak of such comprehensibility as a miracle or an eternal mystery. Well, a priori one should expect a chaotic world which cannot be in any way grasped through thought. . . . The kind of order created, for example, by Newton’s theory of gravity is of quite a different kind. Even if the axioms of the theory are posited by a human being, the success of such an enterprise presupposes an order in the objective world of a high degree which one has no a priori right to expect. That is the “miracle” which grows increasingly persuasive with the increasing development of knowledge.

Alexander Polykov (1986), one of the top physicists in Russia, commenting on the mathematical character of the universe, said: “We know that nature is described by the best of all possible mathematics because God created it.” Paul Davies, an astrophysicist from England, says, “The equations of physics have in them incredible simplicity, elegance and beauty. That in itself is sufficient to prove to me that there must be a God who is responsible for these laws and responsible for the universe” (Davies 1984). Successful development of a unified field theory in the future would only add to this remarkable situation, further reducing the number of equations required to describe nature, indicating even further unity and integration in the natural phenomena than have been observed to date.

The whole paper that started this off is called “The Unreasonable Effectiveness of Mathematics”, and it is a must read for advanced Christian apologists. You can read the whole thing here.

UPDATE: Mysterious Tom posted this quote from David Berlinski on Facebook:

Why should a limited and finite organ such as the human brain have the power to see into the heart of matter and mathematics? These are subjects that have nothing to do with the Darwinian business of scrabbling up the greasy pole of life. It is as if the liver, in addition to producing bile, were to demonstrate an unexpected ability to play the violin.

That’s from David Berlinski’s “The Devil’s Delusion: Atheism and Its Scientific Pretensions”, (Basic Books, 2009, p. 16-17). Dr. Berlinksi is not a Christian – he is an agnostic.

Positive arguments for Christian theism

William Lane Craig and atheist Daniel Dennett discuss cosmology and fine-tuning

This audio records a part of the Greer-Heard debate in 2007, between prominent atheist Daniel Dennett and lame theistic evolutionist Alister McGrath. Craig was one of the respondents, and this was the best part of the event. It is a little bit advanced, but I have found that if you listen to things like this over and over with your friends and family, and then try to explain it to non-Christians, you’ll get it.

By the way, this is mostly original material from Craig, dated 2007, and he delivers the speech perfectly, so it’s entertaining to listen to.

Craig presents three arguments for a Creator and Designer of the universe:

  • the contingency argument
  • the kalam cosmological argument
  • the teleological argument

He also discusses Dennett’s published responses to these arguments.

Dennett’s response to Craig’s paper

Here is my snarky paraphrase of Dennett’s reponse: (this is very snarky, because Dennett was just awful)

  • Craig’s three arguments are bulletproof, the premises are plausible, and grounded by the best cutting edge science we know today.
  • I cannot find anything wrong with his arguments right now, but maybe later when I go home it will come to me what’s wrong with them.
  • But atheism is true even if all the evidence is against it today. I know it’s true by my blind faith.
  • The world is so mysterious, and all the science of today will be overturned tomorrow so that atheism will be rational again. I have blind faith that this new evidence will be discovered any minute.
  • Just because the cause of the beginning of time is eternal and the cause of the beginning of space is non-physical, the cause doesn’t have to be God.
  • “Maybe the cause of the universe is the idea of an apple, or the square root of 7”. (HE LITERALLY SAID THAT!)
  • The principle of triangulation might have brought the entire physical universe into being out of nothing.
  • I don’t understand anything about non-physical causation, even though I cannot even speak meaningful sentences unless I have a non-physical mind that is causing my body to emit the meaningful sentences in a non-determined manner.
  • Alexander Vilenkin is much smarter than Craig and if he were here he would beat him up good with phantom arguments.
  • Alan Guth is much smarter than Craig and if he were here he would beat him up good with phantom arguments.
  • This science stuff is so complicated to me – so Craig can’t be right about it even though he’s published about it and debated it all with the best atheists on the planet.
  • If God is outside of time, then this is just deism, not theism. (This part is correct, but Craig believes that God enters into time at the moment of creation – so that it is not a deistic God)
  • If deism is true, then I can still be an atheist, because a Creator and Designer of the universe is compatible with atheism.
  • I’m pretty sure that Craig doesn’t have any good arguments that can argue for Christianity – certainly not an historical argument for the resurrection of Jesus based on minimal facts, that he’s defended against the most prominent historians on the planet in public debates and in prestigous books and research journals.

This is a very careful treatment of the arguments that Dr. Craig goes over briefly during his debates. Recommended.

Does a commitment to naturalism undermine rational thought and textual meaning?

Dr. William Lane Craig had a formal debate with an atheist philosopher named Alex Rosenberg a few months back that brought up an interesting idea. Rosenberg is a strong naturalist and he suggests all kinds of counterintuitive outworkings of naturalism in his book. Dr. Craig brought up a bunch of those strange views in his debate, and I listed them out in my summary of the debate as follows:

  1. The argument from the intentionality (aboutness) of mental states implies non-physical minds (dualism), which is incompatible with naturalism
  2. The existence of meaning in language is incompatible with naturalism, Rosenberg even says that all the sentences in his own book are meaningless
  3. The existence of truth is incompatible with naturalism
  4. The argument from moral praise and blame is incompatible with naturalism
  5. Libertarian freedom (free will) is incompatible with naturalism
  6. Purpose is incompatible with naturalism
  7. The enduring concept of self is incompatible with naturalism
  8. The experience of first-person subjectivity (“I”) is incompatible with naturalism

We are concerned with #1 and #2 in this post.

Now I was visiting my parents last week in my home town and Dad and I went to church on Sunday. He wanted to listen to some weird sing-song-voiced pastor on the drive there, but I plugged in my smartphone and we listened to these three podcasts by William Lane Craig instead.

Dr. Craig was explaining in part 3 (I think) about how he went on the offensive with the 8 points, and Dad asked me why Dr. Rosenberg wrote that if naturalism is true, then nothing written down is meaningful. He also wanted to know why Dr. Rosenberg would write a book if his worldview entailed that nothing written down is meaningful.

The solution has to do with Rosenberg’s denial of “intentionality”, which is the idea that something can be about something else. For example, I can think about what I had for breakfast today on the way to church (two apples and coffee) or I can think about the sermon today in my home church and how good it was. A naturalist believes that the whole universe is made up of pure matter alone, and matter cannot be about anything. So Rosenberg denies this common sense view of “intentionality” or “aboutness” because there is no room for it on his naturalistic / materialistic / physicalist view of reality.

Here is a post by Bill Valicella on Maverick Philosopher blog that answers Dad’s questions.

First, Rosenberg’s own view from his book.

A single still photograph doesn’t convey movement the way a motion picture does. Watching a sequence of slightly different photos one photo per hour, or per minute, or even one every 6 seconds won’t do it either. But looking at the right sequence of still pictures succeeding each other every one-twentieth of a second produces the illusion that the images in each still photo are moving. Increasing the rate enhances the illusion, though beyond a certain rate the illusion gets no better for creatures like us. But it’s still an illusion. There is noting to it but the succession of still pictures. That’s how movies perpetrate their illusion. The large set of still pictures is organized together in a way that produces in creatures like us the illusion that the images are moving. In creatures with different brains and eyes, ones that work faster, the trick might not work. In ones that work slower, changing the still pictures at the rate of one every hour (as in time-lapse photography) could work. But there is no movement of any of the images in any of the pictures, nor does anything move from one photo onto the next. Of course, the projector is moving, and the photons are moving, and the actors were moving. But all the movement that the movie watcher detects is in the eye of the beholder. That is why the movement is illusory.

The notion that thoughts are about stuff is illusory in roughly the same way. Think of each input/output neural circuit as a single still photo. Now, put together a huge number of input/output circuits in the right way. None of them is about anything; each is just an input/output circuit firing or not. But when they act together, they “project” the illusion that there are thoughts about stuff. They do that through the behavior and the conscious experience (if any) that they produce. (Alex Rosenberg,The Atheists’ Guide to Reality: Enjoying Life Without Illusions.  The quotation was copied from here.)

And here is what Bill says about that:

Rosenberg is not saying, as an emergentist might, that the synergy of sufficiently many neural circuits gives rise to genuine object-directed thoughts.    He is saying something far worse, something literally nonsensical, namely, that the object-directed thought that thoughts are object-directed is an illusion.  The absurdity of Rosenberg’s position can be seen as follows.

  1. Either the words “The notion that thoughts are about stuff is illusory”  express a thought — the thought that there are no object-directed thoughts — or they do not.
  2. If the latter, then the words are meaningless.
  3. If the former, then the thought is either true or false.
  4. If the thought is true, then there there are no object-directed thoughts, including the one expressed by Rosenberg’s words, and so his words are once again meaningless.
  5. If the thought is false, then there are object-directed thoughts, and Rosenberg’s claim is false.

Therefore:

  • Rosenberg’s claim is either meaningless or false.  His position is self-refuting.

As for the analogy, it is perfectly hopeless, presupposing as it does genuine intrinsic intentionality.  If I am watching a movie of a man running, then I am under an illusion in that there is nothing moving on the movie screen: there is just a series of stills. But the experience I am undergoing is a perfectly good experience that exhibits genuine intrinsic intentionality: it is a visual experiencing of a man running, or to be perfectly punctilious about it: a visual experiencing AS OF a man running.  Whether or not the man depicted exists, as would be the case if the movie were a newsreel, the experience exists, and so cannot be illusory.

To understand the analogy one must understand that there are intentional experiences, experiences that take an accusative.  But if you understand that, then you ought to be able to understand that the analogy cannot be used to render intelligible how it might that it is illusory that there are intentional experiences.

What alone remains of interest here is how a seemingly intelligent fellow could adopt a position so manifestly absurd.  I suspect the answer is that he has stupefied himself  by  his blind adherence to scientistic/naturalistic ideology.

If you want to sort of double check the details, then go ahead and watch the debate or read my summary or listen to the debate audio, and then listen to Dr. Craig’s three podcasts that I linked above.

I know a lot of you are thinking right now “Hey! You cheater! That’s a presuppositional argument! You said they were bad!” Well, I didn’t say they were bad, I said that the epistemological view of presuppositionalism was bad. Presuppositional arguments are good. See below for a few posts about them. Use them all you can, but use the good scientific and historical evidence, too.

Positive arguments for Christian theism