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

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 mak...

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Corporate Author: SpringerLink (Online service)
Other Authors: Davis, Ernest (Editor), Davis, Philip J. (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2015, 2015
Edition:1st ed. 2015
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Summary: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 L. O’Halloran Alison Pease Steven T. Piantadosi Lance J. Rips Micah T. Ross Nathalie Sinclair John Stillwell Helen Verran
Physical Description:VI, 379 p. 35 illus., 23 illus. in color online resource
ISBN:9783319214733