Has anyone encountered the argument from math?
- If God doesn’t exist the applicability of mathematics to nature would be a coincidence
- The applicability of mathematics to nature is not a coincidence
- God exists (therefore)
Some say it’s a god of the gaps and I don’t know whether to agree/disagree.
If at all mathematical objects (like Hilbert space, nonEuclidean geometry, etc) are coincidentally true for our world then we can compute its probability.
Say we have 1000 mathematical objects and the probability of randomly matching reality is a generous 60\% then for \geq 500 of them being suitable models of reality by chance is C(1000, 500) \times 0.6^{500} \times 0.4^{500} + \dots + C(1000, 1000) \times 0.6^{1000} \times 0.4^0 \approx 0