The reality of numbers: a physicalist's philosophy of mathematics
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Clarendon Pr.
1988
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 193 S. |
| ISBN: | 0198249578 |
Staff View
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| 100 | 1 | |a Bigelow, John |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The reality of numbers |b a physicalist's philosophy of mathematics |
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Record in the Search Index
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| adam_text | Contents
Introduction 1
PART I METAPHYSICS
1. Mathematics and universals 11
2. Recurrence 18
PART II MATHEMATICS
II(a) Natural Numbers
3. Pebbles and Pythagoras 31
4. Numbers as properties 38
5. Numbers as paradigms 45
6. Numbers as relations 48
7. Numbering sets 55
II(b) Real Numbers
8. Approximations 58
9. Arithmetic and geometry 62
10. Proportions 66
11. Ratios 71
12. Real numbers 76
II(c) Complex Numbers
13. Imaginary numbers 81
14. Complex proportions 89
II(d) Sets
15. From universals to sets 101
16. Sets and essences 105
17. Sets and consistency 110
PART III TRUTH AND EXISTENCE
III(a) The Problem
18. Functions and arguments 121
19. Truth and essence 128
20. The Fox paradox 135
Viii CONTENTS
III(b) Wholes and Parts
21. Counterparts and accidents 139
22. Property instances 143
23. Robinson s merger 149
24. States of affairs 154
III(c) Anyhow to Something
25. Categories of being 158
26. The second order Fox 166
27. Platonism and necessity 174
Bibliography 179
Index 189
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| ctrlnum | (OCoLC)17210349 (DE-599)BVBBV000880577 |
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| dewey-ones | 510 - Mathematics |
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| dewey-search | 510/.1 |
| dewey-sort | 3510 11 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
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| isbn | 0198249578 |
| language | English |
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| physical | VIII, 193 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
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| publisher | Clarendon Pr. |
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| spelling | Bigelow, John Verfasser aut The reality of numbers a physicalist's philosophy of mathematics Oxford Clarendon Pr. 1988 VIII, 193 S. txt rdacontent n rdamedia nc rdacarrier Ensembles, Théorie des Logique symbolique et mathématique Mathématiques - Philosophie Philosophie et mathématiques ram Mathematik Philosophie Logic, Symbolic and mathematical Mathematics Philosophy Set theory Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Universalien (DE-588)4186915-1 gnd rswk-swf Zahl (DE-588)4067271-2 gnd rswk-swf Mathematik (DE-588)4037944-9 s Philosophie (DE-588)4045791-6 s DE-604 Zahl (DE-588)4067271-2 s Universalien (DE-588)4186915-1 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000552876&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bigelow, John The reality of numbers a physicalist's philosophy of mathematics Ensembles, Théorie des Logique symbolique et mathématique Mathématiques - Philosophie Philosophie et mathématiques ram Mathematik Philosophie Logic, Symbolic and mathematical Mathematics Philosophy Set theory Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd Universalien (DE-588)4186915-1 gnd Zahl (DE-588)4067271-2 gnd |
| subject_GND | (DE-588)4045791-6 (DE-588)4037944-9 (DE-588)4186915-1 (DE-588)4067271-2 |
| title | The reality of numbers a physicalist's philosophy of mathematics |
| title_auth | The reality of numbers a physicalist's philosophy of mathematics |
| title_exact_search | The reality of numbers a physicalist's philosophy of mathematics |
| title_full | The reality of numbers a physicalist's philosophy of mathematics |
| title_fullStr | The reality of numbers a physicalist's philosophy of mathematics |
| title_full_unstemmed | The reality of numbers a physicalist's philosophy of mathematics |
| title_short | The reality of numbers |
| title_sort | the reality of numbers a physicalist s philosophy of mathematics |
| title_sub | a physicalist's philosophy of mathematics |
| topic | Ensembles, Théorie des Logique symbolique et mathématique Mathématiques - Philosophie Philosophie et mathématiques ram Mathematik Philosophie Logic, Symbolic and mathematical Mathematics Philosophy Set theory Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd Universalien (DE-588)4186915-1 gnd Zahl (DE-588)4067271-2 gnd |
| topic_facet | Ensembles, Théorie des Logique symbolique et mathématique Mathématiques - Philosophie Philosophie et mathématiques Mathematik Philosophie Logic, Symbolic and mathematical Mathematics Philosophy Set theory Universalien Zahl |
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