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Mathematics, Substance and Surmise

Views on the Meaning and Ontology of Mathematics

Editors: Davis, Ernest, Davis, Philip J. (Eds.)

  • Includes thought-provoking essays composed by renowned mathematicians, philosophers and historians of mathematics
  • Offers a modern and diverse viewpoint on mathematical ontology
  • Presents useful reading for students taking a course in philosophy of mathematics/science
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Buy this book

eBook $99.00
price for Brazil (gross)
  • ISBN 978-3-319-21473-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for Brazil
  • ISBN 978-3-319-21472-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for Brazil
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: 16 de Dezembro de 2016
  • ISBN 978-3-319-36530-5
  • Free shipping for individuals worldwide
About this book

The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements make? How do people think and speak about mathematics? How does society use mathematics? How have our answers to these questions changed over the last two millennia, and how might they change again in the future? The authors include mathematicians, philosophers, computer scientists, cognitive psychologists, sociologists, educators and mathematical historians; each brings their own expertise and insights to the discussion.

Contributors to this volume:

Jeremy Avigad

Jody Azzouni

David H. Bailey

David Berlinski

Jonathan M. Borwein

Ernest Davis

Philip J. Davis

Donald Gillies

Jeremy Gray

Jesper Lützen

Ursula Martin

Kay O’Halloran

Alison Pease

Steven Piantadosi

Lance Rips

Micah T. Ross

Nathalie Sinclair

John Stillwell

Hellen Verran

Table of contents (18 chapters)

  • Introduction

    Davis, Ernest

    Pages 1-7

  • Hardy, Littlewood and polymath

    Martin, Ursula (et al.)

    Pages 9-23

  • Experimental computation as an ontological game changer: The impact of modern mathematical computation tools on the ontology of mathematics

    Bailey, David H. (et al.)

    Pages 25-67

  • Mathematical products

    Davis, Philip J.

    Pages 69-74

  • How should robots think about space?

    Davis, Ernest

    Pages 75-99

Buy this book

eBook $99.00
price for Brazil (gross)
  • ISBN 978-3-319-21473-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for Brazil
  • ISBN 978-3-319-21472-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for Brazil
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: 16 de Dezembro de 2016
  • ISBN 978-3-319-36530-5
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Mathematics, Substance and Surmise
Book Subtitle
Views on the Meaning and Ontology of Mathematics
Editors
  • Ernest Davis
  • Philip J. Davis
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-21473-3
DOI
10.1007/978-3-319-21473-3
Hardcover ISBN
978-3-319-21472-6
Softcover ISBN
978-3-319-36530-5
Edition Number
1
Number of Pages
VI, 379
Number of Illustrations and Tables
12 b/w illustrations, 23 illustrations in colour
Topics