ABSTRACT

Philosophy of Mathematics is an excellent introductory text. This student friendly book discusses the great philosophers and the importance of mathematics to their thought. It includes the following topics:
* the mathematical image
* platonism
* picture-proofs
* applied mathematics
* Hilbert and Godel
* knots and nations
* definitions
* picture-proofs and Wittgenstein
* computation, proof and conjecture.
The book is ideal for courses on philosophy of mathematics and logic.

chapter 1|7 pages

Introduction

The Mathematical Image

chapter 2|17 pages

Platonism

chapter 3|21 pages

Picture-proofs and Platonism

chapter 4|16 pages

What is Applied Mathematics?

chapter 5|17 pages

Hilbert and Gödel

chapter 6|15 pages

Knots and Notation

chapter 7|19 pages

What is a Definition?

chapter 8|17 pages

Constructive Approaches

chapter 10|18 pages

Computation, Proof and Conjecture

chapter 11|21 pages

Calling the Bluff