1st Edition
Philosophy of Mathematics An Introduction to a World of Proofs and Pictures
By James Robert Brown
Copyright 1999
230 Pages
by
Routledge
232 Pages
by
Routledge
Also available as eBook on:
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 Introduction; Chapter 2 Platonism; Chapter 3 Picture-proofs and Platonism; Chapter 4 What is Applied Mathematics?; Chapter 5 Hilbert and Gödel; Chapter 6 Knots and Notation; Chapter 7 What is a Definition?; Chapter 8 Constructive Approaches; Chapter 9 Proofs, Pictures and Procedures in Wittgenstein; Chapter 10 Computation, Proof and Conjecture; Chapter 11 Calling the Bluff;
Biography
Brown, James Robert
'This book discusses the great philosophers and the importance of mathematics to their thought.Among the topics coverd are; traditional topics in the philosopy of mathematics, such as platonism, formalism and constructivism; the nature of notion and the character definitions; contemporary computational techniques; current debates among mathematicians over the role of experiments in mathematics.'
'This is a valuable and rather untraditional introduction to some major philosophical issues concerning mathematics.' - Mathematical Reviews