Overview
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
Includes supplementary material: sn.pub/extras
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Table of contents (18 chapters)
Keywords
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
Editors and Affiliations
Bibliographic Information
Book Title: Mathematics, Substance and Surmise
Book Subtitle: Views on the Meaning and Ontology of Mathematics
Editors: Ernest Davis, Philip J. Davis
DOI: https://doi.org/10.1007/978-3-319-21473-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-21472-6Published: 28 November 2015
Softcover ISBN: 978-3-319-36530-5Published: 29 October 2016
eBook ISBN: 978-3-319-21473-3Published: 17 November 2015
Edition Number: 1
Number of Pages: VI, 379
Number of Illustrations: 12 b/w illustrations, 23 illustrations in colour
Topics: History of Mathematical Sciences, Philosophy of Science