Agustín Rayo

Professor

Philosophy

Massachusetts Institute of Technology

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Sizes of Infinity Part 1: Hilbert's Hotel

Part 1 of a pair. Agustin teaches us about some weird properties of infinity, using an example due to mathematician David Hilbert called 'Hilbert's Hotel'. He shows us a result proved by another mathematician, Georg Cantor: that many infinite collections of things are the same size. Things that a