"Mathematics, Philosophy, and the Real World" seems to say that Kant's "proof" is no longer valid.
Lecture 27 Describes
Kant's classification scheme, which confines metaphysical statements such as "every effect has a cause" to a category called a priori synthetic.
Kant's "proof" cites Euclid's "parallel hypothesis" which which physicists no longer believe holds "in the Real World".
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