Show Summary Details

- Title Pages
- Preface
- Biographies
- Introduction
- 1 Visualizing in Mathematics
- 2 Cognition of Structure
- 3 Diagram‐Based Geometric Practice
- 4 The Euclidean Diagram (1995)
- 5 Mathematical Explanation: Why it Matters
- 6 Beyond Unification
- 7 Purity as an Ideal of Proof
- 8 Reflections on the Purity of Method in Hilbert's <i>Grundlagen der Geometrie</i>
- 9 Mathematical Concepts and Definitions
- 10 Mathematical Concepts: Fruitfulness and Naturalness
- 11 Computers in Mathematical Inquiry
- 12 Understanding Proofs
- 13 What Structuralism Achieves
- 14 ‘There is no Ontology Here’: Visual and Structural Geometry in Arithmetic
- 15 The Boundary Between Mathematics and Physics
- 16 Mathematics and Physics: Strategies of Assimilation
- Index of Names

# (p.v) Preface

# (p.v) Preface

- Source:
- The Philosophy of Mathematical Practice
- Publisher:
- Oxford University Press

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .

- Title Pages
- Preface
- Biographies
- Introduction
- 1 Visualizing in Mathematics
- 2 Cognition of Structure
- 3 Diagram‐Based Geometric Practice
- 4 The Euclidean Diagram (1995)
- 5 Mathematical Explanation: Why it Matters
- 6 Beyond Unification
- 7 Purity as an Ideal of Proof
- 8 Reflections on the Purity of Method in Hilbert's <i>Grundlagen der Geometrie</i>
- 9 Mathematical Concepts and Definitions
- 10 Mathematical Concepts: Fruitfulness and Naturalness
- 11 Computers in Mathematical Inquiry
- 12 Understanding Proofs
- 13 What Structuralism Achieves
- 14 ‘There is no Ontology Here’: Visual and Structural Geometry in Arithmetic
- 15 The Boundary Between Mathematics and Physics
- 16 Mathematics and Physics: Strategies of Assimilation
- Index of Names