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

Hardcover

ISBN 10: 3319214721 ISBN 13: 9783319214726

Verlag: Springer, 2015

Inhaltsangabe

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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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

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2015
• Sprache: Englisch
• ISBN 10: 3319214721
• ISBN 13: 9783319214726
• Einband: Gebundene Ausgabe
• Auflage: 1
• Anzahl der Seiten: 385
• Herausgeber: Davis Ernest, Davis Philip J.
• Kontakt zum Hersteller: GPSR Kontakt; ProductSafety@springernature.com; ; Slevogtstraße 3-5; Heidelberg; 69126; Deutschland