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The paradox at the heart of mathematics: Gödel's Incompleteness Theorem - Marcus du Sautoy
Explore Gödel’s Incompleteness Theorem, a discovery which changed what we know about mathematical proofs and statements. -- Consider the following sentence: “This statement is false.” Is that true? If so, that would make the statement false. But if it’s false, then the statement is true. This sentence creates an unsolvable paradox; if ...
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