New Waves in Philosophy of Mathematics

Editors:

ISBN: 978-0-230-21943-4 (Print) 978-0-230-24519-8 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-ix

  2. Introduction Philosophy of Mathematics: Old and New

    1. No Access

      Chapter

      Pages 1-9

      Introduction Philosophy of Mathematics: Old and New

  3. Reassessing the Orthodoxy in the Philosophy of Mathematics

    1. Front Matter

      Pages 11-11

    2. No Access

      Chapter

      Pages 13-34

      New Waves on an Old Beach: Fregean Philosophy of Mathematics Today

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      Chapter

      Pages 35-55

      Reducing Arithmetic to Set Theory

  4. The Question of Realism in Mathematics

    1. Front Matter

      Pages 57-57

    2. No Access

      Chapter

      Pages 59-79

      Mathematical Fictionalism

    3. No Access

      Chapter

      Pages 80-116

      Truth in Mathematics: The Question of Pluralism

    4. No Access

      Chapter

      Pages 117-134

      “Algebraic” Approaches to Mathematics

  5. Mathematical Practice and the Methodology of Mathematics

    1. Front Matter

      Pages 135-135

    2. No Access

      Chapter

      Pages 137-159

      Mathematical Accidents and the End of Explanation

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      Chapter

      Pages 160-172

      Applying Inconsistent Mathematics

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      Chapter

      Pages 173-194

      Towards a Philosophy of Applied Mathematics

  6. Mathematical Language and the Psychology of Mathematics

    1. Front Matter

      Pages 195-195

    2. No Access

      Chapter

      Pages 197-219

      Formal Tools and the Philosophy of Mathematics

    3. No Access

      Chapter

      Pages 220-238

      The Individuation of the Natural Numbers

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      Chapter

      Pages 239-260

      Toward a Trivialist Account of Mathematics

  7. From Philosophical Logic to the Philosophy of Mathematics

    1. Front Matter

      Pages 261-261

    2. No Access

      Chapter

      Pages 263-299

      On Formal and Informal Provability

    3. No Access

      Chapter

      Pages 300-323

      Quantification Without a Domain

  8. Back Matter

    Pages 324-327