ENGLISH

Mathematics, Substance and Surmise: Views on the Meaning and Ontology of Mathematics

By Ernest Davis , Philip J. Davis (eds.)

Book information

Publisher
Springer International Publishing
Year
2015
ISBN
978-3-319-21472-6, 978-3-319-21473-3
DOI
10.1007/978-3-319-21473-3
Language
english
Format
PDF
Filesize
6 MB (5805499 bytes)
Edition
1
Pages
VI, 379\374
Time added
2016-03-14 21:35:01
History of Mathematical Sciences; Philosophy of Sc

Description

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

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