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  3. Model Theory and the Philosophy of Mathematical Practice
  • Cited by 32
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    • Publisher:
      Cambridge University Press
      Publication date:
      January 2018
      January 2018
      ISBN:
      9781316987216
      9781107189218
      9781316638835
      DOI:
      https://doi.org/10.1017/9781316987216
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.78kg, 362 Pages
      Dimensions:
      (244 x 170 mm)
      Weight & Pages:
      0.6kg, 364 Pages
      • Subjects:
      Mathematics (general), Mathematics, Philosophy of Science, Philosophy
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    Subjects:
    Mathematics (general), Mathematics, Philosophy of Science, Philosophy
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    Book description

    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.

    Reviews

    ‘The book under review has a lot to offer at many levels. First of all, it may serve as a guide to recent advances in pure and applied model theory. Such a guide may be useful not only to novices, but also to old hands. Secondly, Baldwin summarizes several trends in contemporary philosophy of mathematics, and his insights should be of interest to philosophers as well as to mathematicians.’

    Roman Kossak Source: The Mathematical Intelligencer

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