Mathematical Knowledge

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Mary Leng, Alexander Paseau, Michael Potter, Michael D. Potter
OUP Oxford, Nov 15, 2007 - Mathematics - 188 pages
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What is the nature of mathematical knowledge? Is it anything like scientific knowledge or is it sui generis? How do we acquire it? Should we believe what mathematicians themselves tell us about it? Are mathematical concepts innate or acquired? Eight new essays offer answers to these and many other questions. Written by some of the world's leading philosophers of mathematics, psychologists, and mathematicians, Mathematical Knowledge gives a lively sense of the current state of debate in this fascinating field.
 

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Contents

Introduction
1
What is the problem of mathematical knowledge?
16
Mathematics Memory and Mental Arithmetic
33
Is there a problem of induction for mathematics?
59
The cognitive basis of mathematical knowledge
74
Whats there to know?
84
Mathematical recreation versus mathematical knowledge
109
Scientific Platonism
123
On quantifying into predicate position
150
Bibliography
175
Index
184
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About the author (2007)

Mary Leng is a Professor in the Department of Philosophy at the University of Liverpool. Alexander Paseau is a Lecturer in Philosophy at the University of Oxford. Michael Potter is a Reader in the Philosophy of Mathematics at the University of Cambridge.

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