The limits of abstraction
"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...
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| Format: | Buch |
| Sprache: | English |
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Oxford
Oxford University Press
2002
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| Online-Zugang: | Table of contents Inhaltsverzeichnis |
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| 100 | 1 | |a Fine, Kit |d 1946- |e Verfasser |0 (DE-588)137060548 |4 aut | |
| 245 | 1 | 0 | |a The limits of abstraction |c Kit Fine |
| 264 | 1 | |a Oxford |b Oxford University Press |c 2002 | |
| 300 | |a x, 203 p. |b 23 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references (p. [193]-196) and indexes | ||
| 520 | 3 | |a "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. 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." -- Book cover. | |
| 650 | 7 | |a Abstractie |2 gtt | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Philosophie | |
| 650 | 4 | |a Mathematics -- Philosophy | |
| 650 | 4 | |a Abstraction | |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Abstraktion |0 (DE-588)4141162-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Mathematik |0 (DE-588)4037944-9 |D s |
| 689 | 0 | 1 | |a Abstraktion |0 (DE-588)4141162-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | |u http://www.loc.gov/catdir/toc/fy033/2002070134.html |3 Table of contents | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-009886961 | ||
Datensatz im Suchindex
| _version_ | 1804129317972606976 |
|---|---|
| adam_text | THE LIMITS OF ABSTRACTION / FINE, KIT : 2002
TABLE OF CONTENTS / INHALTSVERZEICHNIS
I. PHILOSOPHICAL INTRODUCTION 1
1. TRUTH 3
2. DEFINITION 15
3. RECONCEPTUALIZATION 35
4. FOUNDATIONS 41
5. THE IDENTITY OF ABSTRACTS 46
II. THE CONTEXT PRINCIPLE 55
1. WHAT IS THE CONTEXT PRINCIPLE? 56
2. COMPLETENESS 60
3. THE CAESAR PROBLEM 68
4. REFERENTIAL DETERMINACY 77
5. PREDICATIVITY 81
6. THE POSSIBLE PREDICATIVE CONTENT OF HUME S LAW 90
III. THE ANALYSIS OF ACCEPTABILITY 101
1. LANGUAGE AND LOGIC 101
2. MODELS 105
3. PRELIMINARY RESULTS 107
4. TENABILITY 114
5. GENERATION 118
6. CATEGORICITY 122
7. INVARIANCE 138
8. HYPERINFLATION 156
9. INTERNALIZED PROOFS 161
IV. THE GENERAL THEORY OF ABSTRACTION 165
1. THE SYSTEMS 165
2. SEMANTICS 175
3. DERIVATIONS 189
4. FURTHER WORK 191.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Fine, Kit 1946- |
| author_GND | (DE-588)137060548 |
| author_facet | Fine, Kit 1946- |
| author_role | aut |
| author_sort | Fine, Kit 1946- |
| author_variant | k f kf |
| building | Verbundindex |
| bvnumber | BV014521539 |
| callnumber-first | Q - Science |
| callnumber-label | QA8 |
| callnumber-raw | QA8.4.F56 2002 |
| callnumber-search | QA8.4.F56 2002 |
| callnumber-sort | QA 18.4 F56 42002 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | CC 2600 SG 700 SK 130 |
| ctrlnum | (OCoLC)49902003 (DE-599)BVBBV014521539 |
| dewey-full | 510/.1 510/.121 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510/.1 510/.1 21 |
| dewey-search | 510/.1 510/.1 21 |
| dewey-sort | 3510 11 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
| format | Book |
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| id | DE-604.BV014521539 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:03:13Z |
| institution | BVB |
| isbn | 0199246181 |
| language | English |
| lccn | 2002070134 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009886961 |
| oclc_num | 49902003 |
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| owner_facet | DE-12 DE-355 DE-BY-UBR DE-521 DE-11 DE-188 |
| physical | x, 203 p. 23 cm |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Oxford University Press |
| record_format | marc |
| spelling | Fine, Kit 1946- Verfasser (DE-588)137060548 aut The limits of abstraction Kit Fine Oxford Oxford University Press 2002 x, 203 p. 23 cm txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references (p. [193]-196) and indexes "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. 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." -- Book cover. Abstractie gtt Mathematik Philosophie Mathematics -- Philosophy Abstraction Mathematik (DE-588)4037944-9 gnd rswk-swf Abstraktion (DE-588)4141162-6 gnd rswk-swf Mathematik (DE-588)4037944-9 s Abstraktion (DE-588)4141162-6 s DE-604 http://www.loc.gov/catdir/toc/fy033/2002070134.html Table of contents LoC Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009886961&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fine, Kit 1946- The limits of abstraction Abstractie gtt Mathematik Philosophie Mathematics -- Philosophy Abstraction Mathematik (DE-588)4037944-9 gnd Abstraktion (DE-588)4141162-6 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4141162-6 |
| 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 | the limits of abstraction |
| topic | Abstractie gtt Mathematik Philosophie Mathematics -- Philosophy Abstraction Mathematik (DE-588)4037944-9 gnd Abstraktion (DE-588)4141162-6 gnd |
| topic_facet | Abstractie Mathematik Philosophie Mathematics -- Philosophy Abstraction Abstraktion |
| url | http://www.loc.gov/catdir/toc/fy033/2002070134.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009886961&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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