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Results for: Keywords Incompleteness theorems Language English

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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. Marcus du Sautoy digs into Gödel's Incompleteness Theorem.

Subjects:

Mathematics and Statistics

Keywords:

Gödel's theorem Incompleteness theorems

Resource Type:

Video

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