Maths, mind and God

Here's a couple of odd recent papers of interest to be found on arXiv:

* the first has the intriguing title: Modeling the creative process of the mind by prime numbers and a simple proof of the Riemann Hypothesis. Here's a bit from the abstract:

The creative process of the mind is lawfully determined but the outcome is unpredictable. The mathematical equivalent or model of this process is the creation of primes. Primes have the inherent property of unpredictability but can be generated by the creation algorithm of the mind, termed the Prime Law, via a fully deterministic lawful process. This new understanding of the essence of primes can deduce some of the best-known properties of primes, including the Riemann Hypothesis (RH).

I was not familiar with the Riemann Hypothesis, and the discussion of it in the paper is pretty interesting. The author perhaps gets a bit too much ying & yang-y, but overall it's worth a look.

* The significance of maths overall gets a run in a paper by a few mathematicians/philosophers (who one would at least have to suspect as being Catholic) entitled In whose mind is Mathematics an "a priori cognition"?

The argument, if I understand it correctly, is that if Kant's view of mathematics is correct ("an 'a priori' cognition"), then modern maths with its proof that there are some unsolvable questions for the human mind means that mathematics must exist in a mind greater than humans, which "can contain the whole of mathematics at once". Ergo, maths proves God.

I'm not entirely sure how original this argument is. Godel thought he had come up with a proof of God, but his argument was (I think) more esoteric.

The view that mathematics leads its own Platonic existence while waiting to be discovered by human minds can easily lead to theistic thoughts. I suppose you can avoid the issue of whether maths has to exist within any mind at all by arguing like cosmologist Max Tegmark, who goes as far as to say that the Universe is actually made of mathematics. However, I am not entirely sure that anyone can fully understand what that means.

Anyway, with my soft spot for Kant, I like the idea that he and modern mathematicians may have together proved an omniscient Mind exists throughout the universe.