Wednesday, February 23, 2011

Paul Cohen : Continuum Hypothesis

Paul Cohen talks about working on the Continuum Hypothesis and his interaction with Kurt Gödel. From the Gödel Centennial, Vienna, 2006.

Paul Joseph Cohen biography

Continuum hypothesis

*Cantor Hypothesis: any infinite subset of the set of R can be put into 1-to-1 correspondence either with the set of integers or with the set of all real numbers.

Cohen proved the Continuum Hypothesis and the Axiom of Choice actually are undecidable using the axioms of set theory

Part 1 of 6

Part 2 of 6

Part 3 of 6

Part 4 of 6

Part 5 of 6

Part 6 of 6

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