The paradox at the heart of mathematics: Gödel's Incompleteness Theorem
3,201,187 views | Marcus du Sautoy • TED-Ed
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. [Directed by BASA, narrated by Addison Anderson, music by Igor Figueroa, Mono].