Mathematics, Substance and Surmise
Views on the Meaning and Ontology of Mathematics
Editors: Davis, Ernest, Davis, Philip J. (Eds.)
Free Preview- 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
Buy this book
- 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
Pages 1-7
-
Hardy, Littlewood and polymath
Pages 9-23
-
Experimental computation as an ontological game changer: The impact of modern mathematical computation tools on the ontology of mathematics
Pages 25-67
-
Mathematical products
Pages 69-74
-
How should robots think about space?
Pages 75-99
-
Table of contents (18 chapters)
Recommended for you
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
- 12 b/w illustrations, 23 illustrations in colour
- Topics
