Mathematics, substance and surmise: Views on the meaning and ontology of mathematics

Ernest Davis; Philip J. Davis

doi:10.1007/978-3-319-21473-3

Mathematics, substance and surmise: Views on the meaning and ontology of mathematics

Ernest Davis, Philip J. Davis

Computer Science

Research output: Book/Report › Book

Abstract

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.

Original language	English (US)
Publisher	Springer International Publishing
Number of pages	379
ISBN (Electronic)	9783319214733
ISBN (Print)	9783319214726
DOIs	https://doi.org/10.1007/978-3-319-21473-3
State	Published - Jan 1 2015

ASJC Scopus subject areas

General Mathematics
General Arts and Humanities

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10.1007/978-3-319-21473-3

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Mathematics, substance and surmise: Views on the meaning and ontology of mathematics

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ASJC Scopus subject areas

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