The limits of abstraction /:
Annotation
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Oxford :
Oxford University Press,
2008.
|
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | Annotation |
| Item Description: | Originally published: Oxford: Clarendon, 2002. |
| Physical Description: | 1 online resource (203 pages) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9780191567261 0191567264 |
Staff View
MARC
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| 100 | 1 | |a Fine, Kit. |0 http://id.loc.gov/authorities/names/n77000352 | |
| 245 | 1 | 4 | |a The limits of abstraction / |c Kit Fine. |
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| 520 | 8 | |a Annotation |b What is abstraction? To what extent can it account for the existence and identity of abstract objects? And to what extent can it be used as a foundation for mathematics? Kit Fine provides rigorous and systematic answers to these questions along the lines proposed by Frege, in a book concerned both with the technical development of the subject and with its philosophical underpinnings.<br /><br />Fine proposes an account of what it is for a principle of abstraction to be acceptable, and these acceptable principles are exactly characterized. A formal theory of abstraction is developed and shown to be capable of providing a foundation for both arithmetic and analysis. Fine argues that the usual attempts to see principles of abstraction as forms of stipulative definition have been largely unsuccessful but there may be other, more promising, ways of vindicating the various forms of contextual definition.<br /><br />The Limits of Abstractionbreaks new ground both technically and philosophically, and will be essential reading for all who work on the philosophy of mathematics. | |
| 650 | 0 | |a Abstraction. |0 http://id.loc.gov/authorities/subjects/sh85000258 | |
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| spelling | Fine, Kit. http://id.loc.gov/authorities/names/n77000352 The limits of abstraction / Kit Fine. Oxford : Oxford University Press, 2008. 1 online resource (203 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Originally published: Oxford: Clarendon, 2002. Includes bibliographical references and index. Print version record. Annotation What is abstraction? To what extent can it account for the existence and identity of abstract objects? And to what extent can it be used as a foundation for mathematics? Kit Fine provides rigorous and systematic answers to these questions along the lines proposed by Frege, in a book concerned both with the technical development of the subject and with its philosophical underpinnings.<br /><br />Fine proposes an account of what it is for a principle of abstraction to be acceptable, and these acceptable principles are exactly characterized. A formal theory of abstraction is developed and shown to be capable of providing a foundation for both arithmetic and analysis. Fine argues that the usual attempts to see principles of abstraction as forms of stipulative definition have been largely unsuccessful but there may be other, more promising, ways of vindicating the various forms of contextual definition.<br /><br />The Limits of Abstractionbreaks new ground both technically and philosophically, and will be essential reading for all who work on the philosophy of mathematics. Abstraction. http://id.loc.gov/authorities/subjects/sh85000258 Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Abstraction. Mathématiques Philosophie. abstraction. aat MATHEMATICS History & Philosophy. bisacsh Abstraction fast Mathematics Philosophy fast has work: The limits of abstraction (Text) https://id.oclc.org/worldcat/entity/E39PCGGqJg7Vhmfqh3jkVhVJMq https://id.oclc.org/worldcat/ontology/hasWork Print version: Fine, Kit. Limits of abstraction. Oxford : Oxford University Press, 2008 9780199533633 0199533636 (OCoLC)192027113 |
| spellingShingle | Fine, Kit The limits of abstraction / Abstraction. http://id.loc.gov/authorities/subjects/sh85000258 Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Abstraction. Mathématiques Philosophie. abstraction. aat MATHEMATICS History & Philosophy. bisacsh Abstraction fast Mathematics Philosophy fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85000258 http://id.loc.gov/authorities/subjects/sh85082153 |
| title | The limits of abstraction / |
| title_auth | The limits of abstraction / |
| title_exact_search | The limits of abstraction / |
| title_full | The limits of abstraction / Kit Fine. |
| title_fullStr | The limits of abstraction / Kit Fine. |
| title_full_unstemmed | The limits of abstraction / Kit Fine. |
| title_short | The limits of abstraction / |
| title_sort | limits of abstraction |
| topic | Abstraction. http://id.loc.gov/authorities/subjects/sh85000258 Mathematics Philosophy. http://id.loc.gov/authorities/subjects/sh85082153 Abstraction. Mathématiques Philosophie. abstraction. aat MATHEMATICS History & Philosophy. bisacsh Abstraction fast Mathematics Philosophy fast |
| topic_facet | Abstraction. Mathematics Philosophy. Mathématiques Philosophie. abstraction. MATHEMATICS History & Philosophy. Abstraction Mathematics Philosophy |
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