Mathematics, Substance and Surmise
Views on the Meaning and Ontology of Mathematics
Editors: Davis, Ernest, Davis, Philip J. (Eds.)
Free Preview Includes thoughtprovoking 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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 About this book

The seventeen thoughtprovoking 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 17

Hardy, Littlewood and polymath
Pages 923

Experimental computation as an ontological game changer: The impact of modern mathematical computation tools on the ontology of mathematics
Pages 2567

Mathematical products
Pages 6974

How should robots think about space?
Pages 7599

Table of contents (18 chapters)
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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
 9783319214733
 DOI
 10.1007/9783319214733
 Hardcover ISBN
 9783319214726
 Softcover ISBN
 9783319365305
 Edition Number
 1
 Number of Pages
 VI, 379
 Number of Illustrations
 12 b/w illustrations, 23 illustrations in colour
 Topics