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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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Lorenz Halbeisen, Regula Krapf

Gödel's Theorems and Zermelo's Axioms

This book provides a concise and self-contained introduction to the foundations of mathematics. The first part covers the fundamental notions of mathematical logic, including logical axioms, formal proofs…

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