The British Journal for the Philosophy of Science recently accepted for publication a manuscript by Sam Baron titled Mathematical Explanation: A Pythagorean Proposal. A summary of Baron's paper is given here: Pythagoras’ Revenge: Humans Didn’t Invent Mathematics, It’s What the Physical World Is Made Of (scitechdaily.com).
Baron proposes that our world has an inherent mathematical part in addition to its matter. In this framework, mathematics provides matter with its form while matter gives mathematics its substance.
I believe Baron's proposal is similar to Stephen Wolfram's proposal in A New Kind of Science.
A prior post in this blog wrote about the many examples of fractals found in nature.
Linking nature and mathematics is a common theme in teleological arguments for the existence of God. See prior post on Rev. Bayes.
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