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The Heritage of Thales

  • W. S. Anglin
  • J. Lambek

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
    18. W. S. Anglin, J. Lambek
      Pages 89-92
    19. W. S. Anglin, J. Lambek
      Pages 93-96
    20. W. S. Anglin, J. Lambek
      Pages 97-102
    21. W. S. Anglin, J. Lambek
      Pages 103-110
    22. W. S. Anglin, J. Lambek
      Pages 111-115
    23. W. S. Anglin, J. Lambek
      Pages 117-120
    24. W. S. Anglin, J. Lambek
      Pages 121-124
    25. W. S. Anglin, J. Lambek
      Pages 125-131
    26. W. S. Anglin, J. Lambek
      Pages 133-137
    27. W. S. Anglin, J. Lambek
      Pages 139-144
    28. W. S. Anglin, J. Lambek
      Pages 145-152
    29. W. S. Anglin, J. Lambek
      Pages 153-158
    30. W. S. Anglin, J. Lambek
      Pages 159-162
    31. W. S. Anglin, J. Lambek
      Pages 163-168
    32. W. S. Anglin, J. Lambek
      Pages 169-171
  4. Topics in the Foundations of Mathematics

    1. Front Matter
      Pages 173-173
    2. W. S. Anglin, J. Lambek
      Pages 175-177
    3. W. S. Anglin, J. Lambek
      Pages 179-182
    4. W. S. Anglin, J. Lambek
      Pages 183-185
    5. W. S. Anglin, J. Lambek
      Pages 187-190
    6. W. S. Anglin, J. Lambek
      Pages 191-193
    7. W. S. Anglin, J. Lambek
      Pages 195-197
    8. W. S. Anglin, J. Lambek
      Pages 199-201
    9. W. S. Anglin, J. Lambek
      Pages 203-206
    10. W. S. Anglin, J. Lambek
      Pages 207-209
    11. W. S. Anglin, J. Lambek
      Pages 211-213
    12. W. S. Anglin, J. Lambek
      Pages 215-217
    13. W. S. Anglin, J. Lambek
      Pages 219-221
    14. W. S. Anglin, J. Lambek
      Pages 223-226
    15. W. S. Anglin, J. Lambek
      Pages 227-230

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

  • W. S. Anglin
    • 1
  • J. Lambek
    • 1
  1. 1.Department of Mathematics and StatisticsMcGill UniversityMontrealCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0803-7
  • Copyright Information Springer Science+Business Media New York 1995
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6906-9
  • Online ISBN 978-1-4612-0803-7
  • Series Print ISSN 0172-6056
  • Buy this book on publisher's site