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 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. Lesson by Marcus du Sautoy, directed by BASA.