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A unified view towards diagonal arguments

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If you have a question about this talk, please contact Valentin Hübner.

Cantor’s diagonal argument is a simple yet deep theorem. Perhaps less known is that the same idea in the proof powers many famous results, including but not limited to: Russel’s paradox, halting theorem, undefinability theorem and Gödel incompleteness theorem. This talk aims to state and prove an abstract form of diagonal argument and derive all of the above as corollaries if time permits. The talk will be self-contained. IA Numbers and Sets or knowing Cantor’s diagonal argument will be helpful but not necessary.

This talk is part of the The Archimedeans (CU Mathematical Society) series.

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