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9780199228249

Mathematical Knowledge

by ; ;
  • ISBN13:

    9780199228249

  • ISBN10:

    0199228248

  • Format: Hardcover
  • Copyright: 2008-01-06
  • Publisher: Oxford University Press

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Summary

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.

Table of Contents

Introduction
What is the problem of mathematical knowledge?
Mathematics, memory, and mental arithmetic
Is there a problem of induction for mathematics?
The cognitive basis of mathematical knowledge
What's there to know? A fictionalist account of mathematical knowledge
Mathematical recreation versus mathematical knowledge
Scientific Platonism
On quantifying into predicate position: Steps towards a new(trialist) perspective
Table of Contents provided by Publisher. All Rights Reserved.

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