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

Ernest Davis, Philip J. Davis

Research output: Book/ReportBook

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 languageEnglish (US)
PublisherSpringer International Publishing
Number of pages379
ISBN (Print)9783319214733, 9783319214726
DOIs
StatePublished - Jan 1 2015

Fingerprint

Ontology
Expertise
Assertion
Thing
Range of data
Meaning
Mathematics
Object
Millennium
Reader
Mathematicians
Psychologists
Sociologists
Thought
Historian
Philosopher
Educators

ASJC Scopus subject areas

  • Mathematics(all)
  • Arts and Humanities(all)

Cite this

Mathematics, substance and surmise : Views on the meaning and ontology of mathematics. / Davis, Ernest; Davis, Philip J.

Springer International Publishing, 2015. 379 p.

Research output: Book/ReportBook

Davis, Ernest ; Davis, Philip J. / Mathematics, substance and surmise : Views on the meaning and ontology of mathematics. Springer International Publishing, 2015. 379 p.
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