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

# Introduction

# Introduction

- Chapter:
- (p.1) Introduction
- Source:
- The Philosophy of Mathematical Practice
- Author(s):
### Paolo Mancosu (Contributor Webpage)

- Publisher:
- Oxford University Press

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- 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