The paradox at the heart of mathematics: Gdel's Incompleteness Theorem - Marcus du Sautoy
The paradox at the heart of mathematics: Gdel's Incompleteness Theorem - Marcus du Sautoy with tags godel's incompleteness theorem, godel's proof, godel's paradox, incompleteness theorem, mathematical proofs, axioms, mathematical statements, axiomatic proof, code numbers, unprovable statements, unprovable theorem, kurt godel, godel, unprovably true statements, mathematics, thought experiment, math philosophy, history, education, animation, marcus du sautoy, basa, ted, ted-ed, ted ed, teded, ted education
Explore Gödel’s Incompleteness Theorem, a discovery which changed what we know about mathematical proofs and statements.
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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.
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