The Unreasonable Effectiveness of Mathematics

There was an interesting exchange during the interview with philosopher Brad Monton posted yesterday (A Refreshingly Open Mind Pt. II) that went like this:

So what sort of scientific evidence would be compelling enough to change your mind?
It would be evidence for mind as a fundamental feature of the universe. As far as I'm concerned, God would have to be a purely mental entity, not connected to physical reality in the way that we are through our bodies.

So if we could discover some kind of evidence that mind is fundamental, then that would go a long way toward making me a believer. And if we could find evidence that the physical world isn't causally closed—that not only is mind a fundamental entity, but it likewise plays a causal role in the structure of the world—then that would also be compelling evidence for the existence of God.

Now, if it is found that mind plays a role in our brain processes alone, that by itself wouldn't make me believe in God, though it would certainly make me more open to the idea. But if we were to discover that mind is intervening in other places in the world besides our brain processes, then that would pretty much be the smoking gun.

Monton's reply brought to mind this VP post from a few years ago:

Physicist Sir James Jeans, contemplating the fact that the universe seems so astonishingly conformable to mathematics, once remarked that God must be a mathematician. It would indeed be a breathtaking coincidence had the mathematical architecture of the cosmos just happened to be the way it is by sheer serendipity.

Here's a lovely video that illustrates just one example of how mathematics seems to underlie the very fabric of the universe. The video describes how the geometry of nature so often exhibits what's called the Fibonacci sequence:

In 1959, the physicist and mathematician Eugene Wigner described the fact that mathematical equations describe every aspect of the universe as "the unreasonable effectiveness of mathematics."

Mathphobic students may wince at a statement like this, but it gets worse.

Physicist Max Tegmark has more recently claimed that the universe is not only described by mathematics, but is, in fact, mathematics itself.

To suggest that everything ultimately reduces to a mathematical expression is another way of saying that the universe is information. But if so, information doesn't just hang in mid-air, as it were. Behind the information there must be a mind in which the information resides or from which it arises. In either case, so far from the materialist belief that matter gives rise to everything else, it seems more likely that matter is itself a physical expression of information and that the information expressed by the cosmos is itself the product of mind.

In other words, it just keeps getting harder and harder to agree with the materialists that matter is the fundamental substance that makes up all reality. Materialism just seems so 19th century.