subscribe or login to access all content.

Users without a subscription are not able to see the full content.

Contemporary philosophy of mathematics offers us an embarrassment of riches. But anyone familiar with this area will be aware of the need for new approaches that will pay closer attention to mathematical practice. This book provides a unified presentation of this new wave of work in philosophy of mathematics. This new approach is innovative in at least two ways. First, it holds that there are important novel characteristics of contemporary mathematics that are just as worthy of philosophical attention as the distinction between constructive and non constructive mathematics at the time of the f ... More

*Keywords: *
mathematical practice,
visualization,
diagrammatic reasoning,
mathematical explanation,
purity of methods,
mathematical concepts,
mathematical understanding,
category theory,
computer science,
mathematical physics

Print publication date: 2008 | Print ISBN-13: 9780199296453 |

Published to Oxford Scholarship Online: February 2010 | DOI:10.1093/acprof:oso/9780199296453.001.0001 |

Show Summary Details
## Front Matter

###
Introduction

### Paolo Mancosu

###
1 Visualizing in Mathematics

###
Marcus Giaquinto

###
2 Cognition of Structure

###
Marcus Giaquinto

###
3 Diagram‐Based Geometric Practice

###
Kenneth Manders

###
4 The Euclidean Diagram (1995)

###
Kenneth Manders

###
5 Mathematical Explanation: Why it Matters

###
Paolo Mancosu

###
6 Beyond Unification

###
Johannes Hafner and Paolo Mancosu

###
7 Purity as an Ideal of Proof

###
Michael Detlefsen

###
9 Mathematical Concepts and Definitions

###
Jamie Tappenden

###
10 Mathematical Concepts: Fruitfulness and Naturalness

###
Jamie Tappenden

###
11 Computers in Mathematical Inquiry

###
Jeremy Avigad

###
12 Understanding Proofs

###
Jeremy Avigad

###
13 What Structuralism Achieves

###
Colin McLarty

###
15 The Boundary Between Mathematics and Physics

###
Alasdair Urquhart

###
16 Mathematics and Physics: Strategies of Assimilation

###
Alasdair Urquhart

## End Matter

subscribe or login to access all content.