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An Aristotelian Realist Philosophy of Mathematics

Mathematics as the Science of Quantity and Structure

  • James Franklin

Table of contents

  1. Front Matter
    Pages i-x
  2. Introduction

    1. James Franklin
      Pages 1-7
  3. The Science of Quantity and Structure

    1. Front Matter
      Pages 9-9
    2. James Franklin
      Pages 11-20
    3. James Franklin
      Pages 67-81
    4. James Franklin
      Pages 101-128
    5. James Franklin
      Pages 129-140
    6. James Franklin
      Pages 141-162
  4. Knowing Mathematical Reality

    1. Front Matter
      Pages 163-163
    2. James Franklin
      Pages 192-206
    3. James Franklin
      Pages 207-221
    4. James Franklin
      Pages 222-240
    5. James Franklin
      Pages 241-259
    6. James Franklin
      Pages 260-262
  5. Back Matter
    Pages 263-308

About this book

Introduction

Mathematics is as much a science of the real world as biology is. It is the science of the world's quantitative aspects (such as ratio) and structural or patterned aspects (such as symmetry). The book develops a complete philosophy of mathematics that contrasts with the usual Platonist and nominalist options.

Keywords

Philosophy of mathematics Aristotelianism Platonism structuralism quantity symmetry infinity logic mathematics philosophy of mathematics

Authors and affiliations

  • James Franklin
    • 1
  1. 1.University of New South WalesSydneyAustralia

Bibliographic information