Coverart for item
The Resource Philosophy of mathematics, ed. by Andrew Irvine, (electronic book)

Philosophy of mathematics, ed. by Andrew Irvine, (electronic book)

Label
Philosophy of mathematics
Title
Philosophy of mathematics
Statement of responsibility
ed. by Andrew Irvine
Contributor
Editor
Subject
Language
eng
Summary
One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mathematics. Over the centuries a number of reasonably well-defined positions about the nature of mathematics have been developed and it is these positions (both historical and current) that are surveyed in the current volume. Traditional theories (Platonism, Aristotelianism, Kantianism), as well as dominant modern theories (logicism, formalism, constructivism, fictionalism, etc.), are all analyzed and evaluated. Leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) is also discussed. The result is a handbook that not only provides a comprehensive overview of recent developments but that also serves as an indispensable resource for anyone wanting to learn about current developments in the philosophy of mathematics
Member of
Cataloging source
OPELS
Dewey number
510.1
Index
index present
LC call number
QA8.4
LC item number
.P455 2007
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Irvine, Andrew D
Series statement
Handbook of the philosophy of science
Series volume
[4]
http://library.link/vocab/subjectName
Mathematics
Label
Philosophy of mathematics, ed. by Andrew Irvine, (electronic book)
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
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
1. The Foundations of Mathematics (W.D. Hart) -- 2. Realism (Mark Balaguer) -- 3. Aristotelian Realism (James Franklin) -- 4. Empiricism (David Bostock) -- 5. Kantianism (Mary Tiles) -- 6. Logism (Jaakko Hintikka) -- 7. Formalism (Peter Simons) -- 8. Constructivism (David McCarty) -- 9. Fictionalism (Daniel Bonevac) -- 10. Structuralism (Fraser MacBride) -- 11. Set Theory from Cantor to Cohen (Akihiro Kanamori) -- 12. Alternative Set Theories (Peter Apostoli, Roland Hinnion, Akira Kanda & Thierry Libert) -- 13. Philosophies of Probability (Jon Williamson) -- 14. Computability (Wilfried Sieg) -- 15. Inconsistent Mathematics (Chris Mortensen) -- 16. Mathematics and the World (Mark Colyvan)
Control code
SCIDI429897931
Dimensions
unknown
Extent
1 online resource (200 p.)
Form of item
online
Isbn
9780444515551
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
Label
Philosophy of mathematics, ed. by Andrew Irvine, (electronic book)
Publication
Bibliography note
Includes bibliographical references and index
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
1. The Foundations of Mathematics (W.D. Hart) -- 2. Realism (Mark Balaguer) -- 3. Aristotelian Realism (James Franklin) -- 4. Empiricism (David Bostock) -- 5. Kantianism (Mary Tiles) -- 6. Logism (Jaakko Hintikka) -- 7. Formalism (Peter Simons) -- 8. Constructivism (David McCarty) -- 9. Fictionalism (Daniel Bonevac) -- 10. Structuralism (Fraser MacBride) -- 11. Set Theory from Cantor to Cohen (Akihiro Kanamori) -- 12. Alternative Set Theories (Peter Apostoli, Roland Hinnion, Akira Kanda & Thierry Libert) -- 13. Philosophies of Probability (Jon Williamson) -- 14. Computability (Wilfried Sieg) -- 15. Inconsistent Mathematics (Chris Mortensen) -- 16. Mathematics and the World (Mark Colyvan)
Control code
SCIDI429897931
Dimensions
unknown
Extent
1 online resource (200 p.)
Form of item
online
Isbn
9780444515551
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote

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