Perspectives On Mathematical Practices

Bringing Together Philosophy of Mathematics, Sociology of Mathematics, and Mathematics Education

  • Bart van Kerkhove
  • Jean Paul van Bendegem

Part of the Logic, Epistemology, and the Unity of Science book series (LEUS, volume 5)

Table of contents

  1. Front Matter
    Pages i-xv
  2. How to Deal with Mathematical Practice?

  3. Taking Mathematical Practice Seriously

    1. Front Matter
      Pages 81-81
    2. Otávio Bueno
      Pages 83-105
    3. Madeline Muntersbjorn
      Pages 107-117
    4. Brendan Larvor
      Pages 119-133
    5. Andrew Aberdein
      Pages 135-151
  4. The Special Case of Mathematical Education

About this book

Introduction

Philosophy of mathematics today has transformed into a very complex network of diverse ideas, viewpoints, and theories. Sometimes the emphasis is on the "classical" foundational work (often connected with the use of formal logical methods), sometimes on the sociological dimension of the mathematical research community and the "products" it produces, then again on the education of future mathematicians and the problem of how knowledge is or should be transmitted from one generation to the next.

The editors of this book felt the urge, first of all, to bring together the widest variety of authors from these different domains and, secondly, to show that this diversity does not exclude a sufficient number of common elements to be present. In the eyes of the editors, this book will be considered a success if it can convince its readers of the following: that it is warranted to dream of a realistic and full-fledged theory of mathematical practices, in the plural. If such a theory is possible, it would mean that a number of presently existing fierce oppositions between philosophers, sociologists, educators, and other parties involved, are in fact illusory.

Keywords

knowledge logic mathematics mathematics education philosophy philosophy of mathematics sociology of mathematics

Editors and affiliations

  • Bart van Kerkhove
    • 1
  • Jean Paul van Bendegem
    • 1
  1. 1.Vrije Universiteit BrusselBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/1-4020-5034-8
  • Copyright Information Springer Science+Business Media B.V. 2007
  • Publisher Name Springer, Dordrecht
  • eBook Packages Humanities, Social Sciences and Law
  • Print ISBN 978-1-4020-5033-6
  • Online ISBN 978-1-4020-5034-3
  • About this book