Towards a Philosophy of Real Mathematics

Corfield, D.N. (2003) Towards a Philosophy of Real Mathematics. Cambridge University Press, 300 pp. ISBN 9780521035255. (The full text of this publication is not available from this repository)

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Abstract

In this ambitious study, David Corfield attacks the widely held view that it is the nature of mathematical knowledge which has shaped the way in which mathematics is treated philosophically, and claims that contingent factors have brought us to the present thematically limited discipline. Illustrating his discussion with a wealth of examples, he sets out a variety of new ways to think philosophically about mathematics, ranging from an exploration of whether computers producing mathematical proofs or conjectures are doing real mathematics, to the use of analogy, the prospects for a Bayesian confirmation theory, the notion of a mathematical research programme, and the ways in which new concepts are justified. His highly original book challenges both philosophers and mathematicians to develop the broadest and richest philosophical resources for work in their disciplines, and points clearly to the ways in which this can be done.

Item Type: Book
Subjects: B Philosophy. Psychology. Religion > B Philosophy (General)
Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Humanities > School of European Culture and Languages
Depositing User: David Corfield
Date Deposited: 06 Sep 2008 12:59
Last Modified: 14 Jan 2010 14:11
Resource URI: http://kar.kent.ac.uk/id/eprint/3537 (The current URI for this page, for reference purposes)
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