Nonstandard models of arithmetic and set theory
Subtitle: AMS Special Session Nonstandard Models of Arithmetic and Set Theory, January 15-16, 2003, Baltimore, Maryland
By: Ali Enayat, Roman Kossak, editors
Contributors: Enayat, Ali, 1959-; Kossak, Roman, 1953-
Series: Contemporary mathematics -- 361; Contemporary mathematics (American Mathematical Society) -- v. 361
Publisher: American Mathematical Society
Published: 2004
Place of publication: Providence, R.I
Language: eng
Number of pages: 167
Subjects: Set theory
Description: "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 non-standardness in mathematics and provides a 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."--BOOK JACKET.
Notes: Includes bibliographical references