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For anyone interested in the topics discussed here, I highly recommend What is Mathematics, Really? [1] by Reuben Hersh

[1] https://www.amazon.com/What-Mathematics-Really-Reuben-Hersh/...

I read that and was a little disappointed. He argues it's basically just a human invention and skirts around the obvious counter arguments that say aliens would discover the same maths if with different language to describe it.

He also tries to politicise the debate which I feel is kind of silly.

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