Model Theory and the Philosophy of Mathematical Practice

Formalization without Foundationalism

Nonfiction, Science & Nature, Science, Other Sciences, Philosophy & Social Aspects, Mathematics, Religion & Spirituality, Philosophy
Cover of the book Model Theory and the Philosophy of Mathematical Practice by John T. Baldwin, Cambridge University Press
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Author: John T. Baldwin ISBN: 9781108100212
Publisher: Cambridge University Press Publication: January 25, 2018
Imprint: Cambridge University Press Language: English
Author: John T. Baldwin
ISBN: 9781108100212
Publisher: Cambridge University Press
Publication: January 25, 2018
Imprint: Cambridge University Press
Language: English

Major shifts in the field of model theory in the twentieth century have seen the development of new tools, methods, and motivations for mathematicians and philosophers. In this book, John T. Baldwin places the revolution in its historical context from the ancient Greeks to the last century, argues for local rather than global foundations for mathematics, and provides philosophical viewpoints on the importance of modern model theory for both understanding and undertaking mathematical practice. The volume also addresses the impact of model theory on contemporary algebraic geometry, number theory, combinatorics, and differential equations. This comprehensive and detailed book will interest logicians and mathematicians as well as those working on the history and philosophy of mathematics.

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Major shifts in the field of model theory in the twentieth century have seen the development of new tools, methods, and motivations for mathematicians and philosophers. In this book, John T. Baldwin places the revolution in its historical context from the ancient Greeks to the last century, argues for local rather than global foundations for mathematics, and provides philosophical viewpoints on the importance of modern model theory for both understanding and undertaking mathematical practice. The volume also addresses the impact of model theory on contemporary algebraic geometry, number theory, combinatorics, and differential equations. This comprehensive and detailed book will interest logicians and mathematicians as well as those working on the history and philosophy of mathematics.

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