Mathematical Knowledge

Mathematical Knowledge

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Description

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.show more

Product details

  • Hardback | 236 pages
  • 160 x 238 x 22mm | 399.16g
  • Oxford University Press
  • Oxford, United Kingdom
  • English
  • New.
  • 0199228248
  • 9780199228249
  • 1,728,963

Review quote

This book is a valuable introduction to current thinking in the philosophy of mathematics as it looks for a new direction. * Jeremy Gray, MAA Online *show more

Table of contents

Introduction ; 1. What is the problem of mathematical knowledge? ; 2. Mathematics, memory, and mental arithmetic ; 3. Is there a problem of induction for mathematics? ; 4. The cognitive basis of mathematical knowledge ; 5. What's there to know? A fictionalist account of mathematical knowledge ; 6. Mathematical recreation versus mathematical knowledge ; 7. Scientific Platonism ; 8. On quantifying into predicate position: Steps towards a new(trialist) perspectiveshow more

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