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Figures of Thought: Mathematics and Mathematical Texts

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Overview

Figures of Thought looks at ways in which mathematical works can be read as texts and demonstrates that such readings provide a rich source of philosophical issues relating to mathematics; issues which are directly relevant to working mathematicians and which traditional approaches to the history and philosophy of mathematics have largely ignored.
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Product Details

  • ISBN-13: 9780415081467
  • Publisher: Taylor & Francis
  • Publication date: 12/6/1994
  • Edition description: New Edition
  • Pages: 208
  • Age range: 18 years
  • Product dimensions: 5.50 (w) x 8.50 (h) x 0.63 (d)

Table of Contents

List of Figures
Preface
Introduction
Pt. I The subject matter of geometry in Euclid, Descartes and Hilbert 1
1 The opening of the Elements 3
2 Propositions and proofs - theorems and problems 21
Pt. II The development of methods of measurement in Euclid, Dedekind and Kronecker 49
3 The contexts of measurement 51
4 Number theory in the nineteenth century 76
Pt. III Mathematical wholes and the establishment of generality in Euclid, Weil and Grothendieck 117
5 Types of wholes 121
6 Generality in contemporary mathematics 146
Conclusion 161
Notes 166
Index 182
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