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Type: BOOK - Published: 2020-10-16 - Publisher: Springer Nature

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This book provides a concise and self-contained introduction to the foundations of mathematics. The first part covers the fundamental notions of mathematical lo
An Introduction to Gödel's Theorems
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Pages: 376
Authors: Peter Smith
Categories: Mathematics
Type: BOOK - Published: 2007-07-26 - Publisher: Cambridge University Press

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In 1931, the young Kurt Gödel published his First Incompleteness Theorem, which tells us that, for any sufficiently rich theory of arithmetic, there are some a
Forever Undecided
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Forever Undecided is the most challenging yet of Raymond Smullyan’s puzzle collections. It is, at the same time, an introduction—ingenious, instructive, ent
Combinatorial Set Theory
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This book, now in a thoroughly revised second edition, provides a comprehensive and accessible introduction to modern set theory. Following an overview of basic
Metamathematics of First-Order Arithmetic
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Authors: Petr Hájek
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A much-needed monograph on the metamathematics of first-order arithmetic, paying particular attention to fragments of Peano arithmetic.