Mathematics, Substance and Surmise

Views on the Meaning and Ontology of Mathematics

Nonfiction, Science & Nature, Mathematics, History, Science, Other Sciences, Philosophy & Social Aspects
Cover of the book Mathematics, Substance and Surmise by , Springer International Publishing
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Author: ISBN: 9783319214733
Publisher: Springer International Publishing Publication: November 17, 2015
Imprint: Springer Language: English
Author:
ISBN: 9783319214733
Publisher: Springer International Publishing
Publication: November 17, 2015
Imprint: Springer
Language: English

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

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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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