Just thinking this is a hit on Wolframphysics.com.

This is a "the math is all there is" approach to physics that eliminates other inquiry.

Gödel is all about math, I might say. You may always need a new axiom. Where are you going to get it? Your imagination?

https://medium.com/liecatcher/physicists-are-the-best-liars-c8e9ccfcf6b4

I would love to read your analysis of Wolfram's computational approach to rewrite-rule physics. And, no, he is not thinking analogies, but perhaps a deeper view of forces and time based only on 'particles' of pure space..

Also, what about forces like "exchange of virtual photons" that can never be observed in Standard Theory? Even it isn't completely devoid of metaphysics.

All that said very nice article.