Explanation of “proofs” to an exasperated calculus student.pic.twitter.com/2b458fAwwo
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Explanation of “proofs” to an exasperated calculus student.pic.twitter.com/2b458fAwwo
It’s not relationship with physical reality that’s at issue wrt mathematical proofs; it’s what it means to be rigorous, to deliver certainty
You can’t rigorously prove the Fundamental Theorem of Calculus without a rigorous treatment of the reals, and you can’t do that without >
dealing with transfinites, and you can’t do that without running into the foundational crisis, Hilbert Program, Gödel, etc.
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