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© 1995

The Heritage of Thales

Textbook

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-x
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. W. S. Anglin, J. Lambek
      Pages 1-3
  3. Topics in the History and Philosophy of Mathematics

    1. Front Matter
      Pages 5-5
    2. W. S. Anglin, J. Lambek
      Pages 7-10
    3. W. S. Anglin, J. Lambek
      Pages 11-14
    4. W. S. Anglin, J. Lambek
      Pages 15-19
    5. W. S. Anglin, J. Lambek
      Pages 21-24
    6. W. S. Anglin, J. Lambek
      Pages 25-28
    7. W. S. Anglin, J. Lambek
      Pages 29-32
    8. W. S. Anglin, J. Lambek
      Pages 33-36
    9. W. S. Anglin, J. Lambek
      Pages 37-40
    10. W. S. Anglin, J. Lambek
      Pages 41-45
    11. W. S. Anglin, J. Lambek
      Pages 47-51
    12. W. S. Anglin, J. Lambek
      Pages 53-57
    13. W. S. Anglin, J. Lambek
      Pages 59-65
    14. W. S. Anglin, J. Lambek
      Pages 67-69
    15. W. S. Anglin, J. Lambek
      Pages 71-77
    16. W. S. Anglin, J. Lambek
      Pages 79-82
    17. W. S. Anglin, J. Lambek
      Pages 83-87

About this book

Introduction

This is intended as a textbook on the history, philosophy and foundations of mathematics, primarily for students specializing in mathematics, but we also wish to welcome interested students from the sciences, humanities and education. We have attempted to give approximately equal treatment to the three subjects: history, philosophy and mathematics. History We must emphasize that this is not a scholarly account of the history of mathematics, but rather an attempt to teach some good mathematics in a historical context. Since neither of the authors is a professional historian, we have made liberal use of secondary sources. We have tried to give ref­ cited facts and opinions. However, considering that this text erences for developed by repeated revisions from lecture notes of two courses given by one of us over a 25 year period, some attributions may have been lost. We could not resist retelling some amusing anecdotes, even when we suspect that they have no proven historical basis. As to the mathematicians listed in our account, we admit to being colour and gender blind; we have not attempted a balanced distribution of the mathematicians listed to meet today's standards of political correctness. Philosophy Both authors having wide philosophical interests, this text contains perhaps more philosophical asides than other books on the history of mathematics. For example, we discuss the relevance to mathematics of the pre-Socratic philosophers and of Plato, Aristotle, Leibniz and Russell. We also have vi Preface presented some original insights.

Keywords

History of Mathematics Renaissance education mathematics philosophy of mathematics physics proposition

Authors and affiliations

  1. 1.Department of Mathematics and StatisticsMcGill UniversityMontrealCanada

Bibliographic information