The Resource Philosophy of mathematics, ed. by Andrew Irvine, (electronic book)
Philosophy of mathematics, ed. by Andrew Irvine, (electronic book)
Resource Information
The item Philosophy of mathematics, ed. by Andrew Irvine, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Philosophy of mathematics, ed. by Andrew Irvine, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Sydney Jones Library, University of Liverpool.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (200 p.)
- 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)
- Isbn
- 9780444515551
- Label
- Philosophy of mathematics
- Title
- Philosophy of mathematics
- Statement of responsibility
- ed. by Andrew Irvine
- 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
- 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)
- 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)
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Philosophy-of-mathematics-ed.-by-Andrew-Irvine/HuHP1od15MA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Philosophy-of-mathematics-ed.-by-Andrew-Irvine/HuHP1od15MA/">Philosophy of mathematics, ed. by Andrew Irvine, (electronic book)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">Sydney Jones Library, University of Liverpool</a></span></span></span></span></div>
