The Resource Mathematics, substance and surmise : views on the meaning and ontology of mathematics, Ernest Davis, Philip J. Davis, editors

Mathematics, substance and surmise : views on the meaning and ontology of mathematics, Ernest Davis, Philip J. Davis, editors

Label
Mathematics, substance and surmise : views on the meaning and ontology of mathematics
Title
Mathematics, substance and surmise
Title remainder
views on the meaning and ontology of mathematics
Statement of responsibility
Ernest Davis, Philip J. Davis, editors
Contributor
Editor
Subject
Genre
Language
eng
Summary
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
Cataloging source
N$T
Dewey number
510.1
Index
no index present
LC call number
QA8.4
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1923-
http://library.link/vocab/relatedWorkOrContributorName
  • Davis, Ernest
  • Davis, Philip J.
http://library.link/vocab/subjectName
  • Mathematics
  • Mathematics
  • MATHEMATICS
  • MATHEMATICS
  • MATHEMATICS
  • Mathematics
  • Mathematics
  • Wiskunde
  • Filosofische aspecten
Label
Mathematics, substance and surmise : views on the meaning and ontology of mathematics, Ernest Davis, Philip J. Davis, editors
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-21473-3
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Hardy, Littlewood, and polymath, (Martin and Pease) -- Experimental Computation as an Ontological Game Changer: The Impact of Modern Mathematical Computation Tools on the Ontology of Mathematics (Bailey and Borwein).- Mathematical Products (Davis).-How Should Robots Think about Space? (Azzouni) -- Mathematics and its Applications (Berlinski) -- Nominalism: The Nonexistence of Mathematical Objects (Azzouni) -- An Aristotelian Approach to Mathematical Ontology (Gillies) -- Let G be a Group (Lützen) -- From the Continuum to Large Cardinals (Stillwell) -- Mathematics at Infinity (Gray) -- Mathematics and Language (Avigad) -- Mathematics as Language (Ross) -- Mathematics as Multimodal Semiotics (O'Halloran) -- Problems in Philosophy of Mathematics: A View from Cognitive Science (Piantadosi) -- Beliefs about the Nature of Numbers (Rips) -- What Kind of Thing Might Number Become? (Sinclair) -- Enumerated Entities in Public Policy and Governance (Verran)
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783319214733
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-21473-3
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)929952091
  • (OCoLC)ocn929952091
Label
Mathematics, substance and surmise : views on the meaning and ontology of mathematics, Ernest Davis, Philip J. Davis, editors
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-21473-3
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Hardy, Littlewood, and polymath, (Martin and Pease) -- Experimental Computation as an Ontological Game Changer: The Impact of Modern Mathematical Computation Tools on the Ontology of Mathematics (Bailey and Borwein).- Mathematical Products (Davis).-How Should Robots Think about Space? (Azzouni) -- Mathematics and its Applications (Berlinski) -- Nominalism: The Nonexistence of Mathematical Objects (Azzouni) -- An Aristotelian Approach to Mathematical Ontology (Gillies) -- Let G be a Group (Lützen) -- From the Continuum to Large Cardinals (Stillwell) -- Mathematics at Infinity (Gray) -- Mathematics and Language (Avigad) -- Mathematics as Language (Ross) -- Mathematics as Multimodal Semiotics (O'Halloran) -- Problems in Philosophy of Mathematics: A View from Cognitive Science (Piantadosi) -- Beliefs about the Nature of Numbers (Rips) -- What Kind of Thing Might Number Become? (Sinclair) -- Enumerated Entities in Public Policy and Governance (Verran)
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783319214733
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-21473-3
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)929952091
  • (OCoLC)ocn929952091

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