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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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Detalles Bibliográficos
Autores principales: Davis, Ernest, Davis, Philip
Lenguaje:eng
Publicado: Springer 2015
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-21473-3
http://cds.cern.ch/record/2112897
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author Davis, Ernest
Davis, Philip
author_facet Davis, Ernest
Davis, Philip
author_sort Davis, Ernest
collection CERN
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 L. O’Halloran Alison Pease Steven T. Piantadosi Lance J. Rips Micah T. Ross Nathalie Sinclair John Stillwell Helen Verran.
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spelling cern-21128972021-04-21T20:00:39Zdoi:10.1007/978-3-319-21473-3http://cds.cern.ch/record/2112897engDavis, ErnestDavis, PhilipMathematics, substance and surmise: views on the meaning and ontology of mathematicsMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:21128972015
spellingShingle Mathematical Physics and Mathematics
Davis, Ernest
Davis, Philip
Mathematics, substance and surmise: views on the meaning and ontology of mathematics
title Mathematics, substance and surmise: views on the meaning and ontology of mathematics
title_full Mathematics, substance and surmise: views on the meaning and ontology of mathematics
title_fullStr Mathematics, substance and surmise: views on the meaning and ontology of mathematics
title_full_unstemmed Mathematics, substance and surmise: views on the meaning and ontology of mathematics
title_short Mathematics, substance and surmise: views on the meaning and ontology of mathematics
title_sort mathematics, substance and surmise: views on the meaning and ontology of mathematics
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-21473-3
http://cds.cern.ch/record/2112897
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