The Golden Ratio by Mario Livio: were mathematics invented or discovered?

The Golden Ratio, the 2003 historical analysis of the irrational number phi (~1.62) by Mario Livio, reads more like a top level review of a few thousand years of mathematical history. And so, while I enjoyed the pursuit of phi in art throughout time, I was much more taken by the top-level review of the development of math. The development, or, well, the discovery of math.

Indeed, of the various historical storylines, one theme from the book that stuck out for me more than others, I was most taken bythe ongoing debate about whether math was invented or discovered, the former of which is my persuasion to date:

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