The paradox at the heart of mathematics: Gödel's Incompleteness Theorem
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TEDMarcus du Sautoy
The paradox at the heart of mathematics: Gödel's Incompleteness Theorem
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 it's not true and it's not false– what is it? This question led a logician to a discovery that would change mathematics forever ...
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