In the five-minute film from Reasonable Faith below, William Lane Craig discusses how the “unreasonable effectiveness” of mathematics in describing nature—the very thing that makes science possible—points to the existence of God. The video concludes:
It turns out that the unreasonable effectiveness of mathematics provides powerful evidence for the existence of God. If God exists, then the effectiveness of mathematics is actually something that we should expect. And on atheism, there just isn’t any explanation.
As Albert Einstein famously remarked, “The eternal mystery of the world is its comprehensibility…. The fact that it is comprehensible is a miracle.”
If God does not exist, then the applicability of mathematics to the physical world is truly incomprehensible, yet we find ourselves in a world with a deep mathematical underpinning that defies probability. The effectiveness of mathematics in describing the physical world is literally a miracle and therefore evidence for the existence of God.