Models of Peano Arithmetic

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Non-standard models of arithmetic are of interest to mathematicians through the presence of infinite integers and the various properties they inherit from the f

Gödel's Theorems and Zermelo's Axioms

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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

The Structure of Models of Peano Arithmetic

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Aimed at graduate students, research logicians and mathematicians, this much-awaited text covers over 40 years of work on relative classification theory for non

An Introduction to Ramsey Theory

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This book takes the reader on a journey through Ramsey theory, from graph theory and combinatorics to set theory to logic and metamathematics. Written in an inf

Nonstandard Models of Arithmetic and Set Theory

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This is the proceedings of the AMS special session on nonstandard models of arithmetic and set theory held at the Joint Mathematics Meetings in Baltimore (MD).