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Serafim Batzoglou

Introduction to Incompleteness

Incompleteness is a fascinating phenomenon at the intersection of mathematical foundations, computer science, and epistemology that places a limit on what is provable. However, despite its importance, it …

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Dirk W. Hoffmann

Gödel's Incompleteness Theorems

In 1931, the mysterious-sounding article "On Formally Undecidable Propositions of Principia Mathematica and Related Systems I" shook the mathematical world. In this article, Kurt Gödel proved two incomple…

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