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Listen "Natural Deduction"
Episode Synopsis
This episode begins the discussion of the style of proof known as Natural Deduction, invented by Gerhard Gentzen, a student of Hermann Weyl, himself a student of David Hilbert (sorry, I said incorrectly that Gentzen was Hilbert's own student). Each logical connective (like OR, AND, IMPLIES, etc.) has introduction rules that let you prove formulas built with that connective; and elimination rules that let you deduce consequences from a proven formula built with that connective.
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