Tag Archives: Apologetics

William Lane Craig on the unexpected applicability of mathematics to nature

Christianity and the progress of science
Christianity and the progress of science

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 defenders. You can read the whole thing here.

Tactics: the worst mistake a Christian can make when doing apologetics

I have a key that will unlock a puzzling mystery
I have a key that will unlock a puzzling mystery

So, this is just an advice post for doing apologetics.

Here are three situations I’ve run into while doing apologetics in the last month.

First situation. I was talking with a lady who is an atheist. I had a copy of “God’s Crime Scene” in my hand, and she asked me about it. I told her that it was a book written by the guy who solved the homicide case that I asked her to watch on Dateline. She remembered – it was the two-hour special on the woman who was killed with a garrotte. She pointed at the book and said “what’s in it?” I said, it has 8 pieces of evidence that fit better with a theistic worldview than with an atheistic one, and some of them scientific. Her reply to me was – literally – “which denomination do you want me to join?”

Second situation. I was talking with a friend of mine who teaches in a Catholic school. She was telling that she got the opportunity to talk to her students about God, and found out that some of them were not even theists, and many of them had questions. So she asked them for questions and got a list. The list included many hard cases, like “what about the Bible and slavery” and “why do Christians oppose gay marriage?” and so on.

Third situation. Talking to a grad student about God’s existence. I’m laying out my scientific arguments for her, holding up the peer-reviewed papers for each discovery. I get to the Doug Axe paper on protein folding probabilities, and she holds up her hand. One question: “Am I going to Hell?”

So think about those three situations. In each case, the opponent is trying to reject Christianity by jumping way, way ahead to the very end of the process. When you do Christian apologetics, you do not take the bait and jump to the end of the process dealing with nitty gritty details until you have made your case for the core of the Christian worldview using your strongest evidence. Let me explain.

So, your strongest evidence as a Christian are the scientific arguments, along with the moral argument. Those would include (for starters) the following:

  1. kalam cosmological argument
  2. cosmic fine-tuning
  3. galactic and stellar habitability
  4. origin of life / DNA
  5. molecular machines / irreducible complexity
  6. the moral argument

The problem I am seeing today is that atheists are rejecting discussions about evidence because they think that all we are interested in is getting them to become Christians. Well, yes. I want you to become a Christian. But I know perfectly well what that entails – it entails a change of life priorities. Both of the women I spoke to are living with their boyfriends, and the kids in the Catholic school just want to have fun. None of them wants to believe in a God who will require self-denial, self-control, and self-sacrifice. Nobody wants God to be in that leader position in their lives. Christianity is 100% reversed from today’s me-first, fun-seeking, thrill-seeking, fear-of-missing-out travel spirit of the age.

So, how to answer all these late-game questions? The answer is simple. You don’t answer any late-game questions until the person you are talking with accounts for the widely-accepted data in your list. These are things that have got to be accepted before any discussion about minor issues like one angel vs two angels at the empty tomb can occur. When we discuss all the basic issues where the evidence is the strongest, then we can go on to discuss issues where the evidence is debatable, then finally, in the last bits before the end, we can discuss these other kinds of questions.

How to explain why this process must be followed to the person who asks specific questions about minor issues? Simple. You explain that your goal is not to get them to become a Christian right now. That you want to let them believe anything thing they want. That’s right. They can believe anything they want to believe. As long as what they believe is consistent with the evidence. And what I am going to do is give them the evidence, and then they can believe whatever they want – so long as it’s consistent with the evidence.

So, for example, I’m going to tell them 3 pieces of evidence for a cosmic beginning of the universe: the expanding universe (redshift), the cosmic microwave background radiation, and the light element abundances. That’s mainstream science that shows that the universe came into being out of nothing, a finite time in the past. And I will charge them not to believe in any religion that assumes that the universe has always been here. For example, Mormonism is ruled out, they believe in eternally existing matter. See how that works? Hey, Ms. Atheist. You can believe anything you want. As long as what you believe is consistent with the evidence. 

I think this approach of not letting them rush you to the end at the beginning is important for two reasons. First, we can get our foot in the door to talk about things that are interesting to everyone, in a non-stressed environment. Everyone can talk about evidence comfortably. Second, we show that we hold our beliefs because we are simply letting evidence set boundaries for us on what we are allowed to believe. We can’t believe not-Christianity, because not-Christianity is not consistent with the evidence. And you start with the most well-supported evidence, and eliminate worldviews that are falsified by the most well-supported evidence. Atheism actually gets falsified pretty quickly, because of the scientific evidence.

So, that’s my advice. Had a friend of mine named William try this out about a week ago. It went down like this:

William to me:

This guy I know messaged me and bragged for a while about how easy he can dismantle Christianity. He said: “present the gospel to me as you understand it. I’ll simply ask questions to demonstrate it is not worth your belief.”

WK to William:

First of all, he isn’t allowed to just sit there and poke holes in your case, he has to present a positive case for atheism. Second, don’t discuss Christianity with him at all until you first discuss the evidence for theism – start with the good scientific evidence.

And William wrote this to his friend:

The way I’m wired is that I process all competing theories and go with the best one. By doing a comparative analysis of worldviews I find that Christian theology easily explains the most about the world I find myself living in.

I’m pretty sure that a God of some sort exists because of the scientific evidence for the origin of the universe and the fine tuning in physics. From there I find it quite intuitive that if a God went through the trouble of creating and tuning a universe for life that this God likely has some sort of interest in it and has revealed Himself to humanity in some way.

From there I can look at the major world religions and compare them to see which one explains the past and the present the best. Christianity easily comes out on top.

And then a few days later, I got this from William:

I finally got the agnostic to tell me what he thinks about origin and fine tuning. When I started pointing out that his views were unscientific, he blew a gasket, called me dishonest and told me he didn’t want to discuss anything further.

And that’s where you want to be. Cut off all discussions where the challenger tries to jump to the end and get you to debate the very last steps of your case. Present the strongest evidence for your core claims, and get him to account for this evidence within his own worldview. Lead the discussion with public, testable evidence. All warfare depends on picking the terrain, weapons and tactics that allow you to match your strength against your opponent’s weakness.

William Lane Craig debates Austin Dacey: Does God Exist?

Two tough rams butt heads, and may the best ram win!
Two tough rams butt heads, and may the best ram win!

Here is the video and summary of a debate between Christian theist William Lane Craig and Austin Dacey at Purdue University in 2004 about the existence of God.

The debaters:

The video: (2 hours)

The video shows the speakers and powerpoint slides of their arguments. Austin Dacey is one of the top atheist debaters, and I would put him second to Peter Millican alone, with Walter Sinnott-Armstrong in third place. This is the debate to show people who are new to apologetics. The debate with Peter Millican is better for advanced students, and that’s no surprise since he teaches at Oxford University and is familiar with all of Dr. Craig’s work. The Craig-Dacey debate is the one that I give to my co-workers.

By the way, you can get the DVDs and CDs for the first Craig-Dacey debate and the second Craig-Dacey debate and the second Craig-Sinnott-Armstrong debate. The Peter Millican debate is not available on DVD, but the link above (Peter Millican) has the video and my summary.

Dr. Dacey’s 5 arguments below are all good arguments that you find in the academic literature. He is also an effective and engaging speaker, This is a great debate to watch!

SUMMARY of the opening speeches:

Dr. Craig’s opening statement:

Dr. Craig will present six reasons why God exists:

  1. (Contingency argument) God is the best explanation of why something exists rather than nothing
  2. (Cosmological argument)  God’s existence is implied by the origin of the universe
  3. (Fine-tuning argument) The fine-tuning of the universe for intelligent life points to a designer of the cosmos
  4. (Moral argument) God is the best explanation for the existence of objective moral values and objective moral duties
  5. (Miracles argument) The historical facts surrounding the life, death and resurrection of Jesus
  6. (Religious experience) God’s existence is directly knowable even apart from arguments

Dr. Dacey’s opening argument:

There are two ways to disprove God’s existence, by showing that the concept of God is self-contradictory, or by showing that certain facts about ourselves and the world are incompatible with what we would expect to be true if God did exist. Dr. Dacey will focus on the second kind of argument.

  1. The hiddenness of God
  2. The success of science in explaining nature without needing a supernatural agency
  3. The dependence of mind on physical processes in the brain
  4. Naturalistic evolution
  5. The existence of gratuitous / pointless evil and suffering

One final point:

One thing that I have to point out is that Dr. Dacey quotes Brian Greene during the debate to counter Dr. Craig’s cosmological argument. Dr. Craig could not respond because he can’t see the context of the quote. However, Dr. Craig had a rematch with Dr. Dacey where was able to read the context of the quote and defuse Dr. Dacey’s objection. This is what he wrote in his August 2005 newsletter after the re-match:

The following week, I was off an another three-day trip, this time to California State University at Fresno. As part of a week of campus outreach the Veritas Forum scheduled a debate on the existence of God between me and Austin Dacey, whom I had debated last spring at Purdue University. In preparation for the rematch I adopted two strategies: (1) Since Dacey had come to the Purdue debate with prepared speeches, I decided to throw him for a loop by offering a different set of arguments for God, so that his canned objections wouldn’t apply. I chose to focus on the cosmological argument, giving four separate arguments for the beginning of the universe, and on the evidence for Jesus’ resurrection. (2) I reviewed our previous debate carefully, preparing critiques of his five atheistic arguments. In the process I found that he had seriously misunderstood or misrepresented a statement by a scientist on the Big Bang; so I brought along the book itself in case Dacey quoted this source again. I figured he might change his arguments just as I was doing; but I wanted to be ready in case he used his old arguments again.

[…]The auditorium was packed that night for the debate, and I later learned that there were overflow rooms, too. To my surprise Dr. Dacey gave the very same case he had presented at Purdue; so he really got clobbered on those arguments. Because he wasn’t prepared for my new arguments, he didn’t even respond to two of my arguments for the beginning of the universe, though he did a credible job responding to the others. I was pleased when he attacked the Big Bang by quoting the same scientist as before, because I then held up the book, specified the page number, and proceeded to quote the context to show what the scientist really meant.

Dr. Craig is always prepared!