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December 7, 1873: Georg Cantor gives birth to the science of the infinite in a letter to Richard Dedekind

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Continuum hypothesis (CH)

ZFC: Zermelo-Fraenlel system plus axiom of choice

John von Neumann and the ordinals

Löwenheim–Skolem theorem:if a countable first-order theory has an infinite model, then every infinite cardinal number κ it has a model of size κ

Kurt Gödel (1940): CH cannot be disproved in ZFC Paul Cohen (1963): CH cannot be proven in ZFC

http://en.wikipedia.org/wiki/Paul_Cohen_(mathematician)
http://en.wikipedia.org/wiki/Cardinal_number

¿V = L?

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