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  3. Philosophy of Mathematics
  • Cited by 82
      • 2nd edition
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    • Publisher:
      Cambridge University Press
      Publication date:
      05 June 2012
      27 January 1984
      ISBN:
      9781139171519
      9780521296489
      DOI:
      https://doi.org/10.1017/CBO9781139171519
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.782kg, 612 Pages
      • Subjects:
      Mathematics, Philosophy of Science, Geometry and Topology, Philosophy
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    Subjects:
    Mathematics, Philosophy of Science, Geometry and Topology, Philosophy
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    Book description

    The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.

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