David Corfield
Towards a Philosophy of Real Mathematics

My book which first appeared with Cambridge University Press in 2003.

Preface:

1 Introduction: a role for history

Part I. Human and Artificial Mathematicians:

2 Communicating with automated theorem provers
3 Automated conjecture formation
4 The role of analogy in mathematics

Part II. Plausibility, Uncertainty and Probability:

5 Bayesianism in Mathematics
6 Uncertainty in mathematics and science

Part III. The Growth of Mathematics:

7 Lakatos’s philosophy of mathematics
8 Beyond the methodology of mathematical research programmes
9 The importance of mathematical conceptualisation

Part IV. The Interpretation of Mathematics:

10 Higher dimensional algebra

Created on November 13, 2012 18:19:52 by David Corfield (129.12.18.29)