Book/Meta Math!
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Chaitin, Gregory (2021). Meta Math! (PDF). local page: arXiv.
Mathematics as an Experimental Science
This book made reference to Tobias Dantzig's book: Book/Number: the language of science and Stephen Wolfram's New Kind of Science(NKS). Both work explicitly showed that number theory and mathematics in general are in fact an experimental science. It literally requires the expense of energy and complex set up of instrumentation to make this science work in the physical world.
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