Mathematical Knowledge

Hardcover | November 15, 2007

EditorMary Leng, Alexander Paseau, Michael Potter

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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 andmany other questions. Written by some of the world's leading philosophers of mathematics, psychologists, and mathematicians, iMathematical Knowledge/i gives a lively sense of the current state of debate in this fascinating field.

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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 andmany other questions. Written by some of the ...

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.

other books by Mary Leng

Mathematics and Reality
Mathematics and Reality

Paperback|Apr 1 2013

$44.50

Format:HardcoverDimensions:236 pages, 9.21 × 6.14 × 0.67 inPublished:November 15, 2007Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199228248

ISBN - 13:9780199228249

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Table of Contents

Mary Leng: Introduction1. Michael Potter: What is the problem of mathematical knowledge?2. W. T. Gowers: Mathematics, memory, and mental arithmetic3. Alan Baker: Is there a problem of induction for mathematics?4. Marinella Cappelletti and Valeria Giardino: The cognitive basis of mathematical knowledge5. Mary Leng: What's there to know? A fictionalist account of mathematical knowledge6. Mark Colyvan: Mathematical recreation versus mathematical knowledge7. Alexander Paseau: Scientific Platonism8. Crispin Wright: On quantifying into predicate position: Steps towards a new(trialist) perspective