Nonstandard Models of Arithmetic and Set Theory(English, Paperback, American Mathematical Society)

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Nonstandard Models of Arithmetic and Set Theory(English, Paperback, American Mathematical Society) is written by American Mathematical Society and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 0821835351 (ISBN 10) and 9780821835357 (ISBN 13).

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). The volume opens with an essay from Haim Gaifman that probes the concept of nonstandardness in mathematics and provides a fascinating mix of historical and philosophical insights into the nature of nonstandard mathematical structures. In particular, Gaifman compares and contrasts the discovery of nonstandard models with other key mathematical innovations, such as the introduction of various number systems, the modern concept of function, and non-Euclidean geometries. Other articles in the book present results related to nonstandard models in arithmetic and set theory, including a survey of known results on the Turing upper bounds of arithmetic sets and functions. The volume is suitable for graduate students and research mathematicians interested in logic, especially model theory.