Platonism and anti-Platonism in mathematics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Oxford Univ. Press
1998
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 217 S. |
| ISBN: | 0195122305 |
Staff View
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Record in the Search Index
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| adam_text | PLATONISM AND ANTI-PLATONISM IN MATHEMATICS MARK BALAGUER NEW YORK
OXFORD OXFORD UNIVERSITY PRESS 1998 CONTENTS I INTRODUCTION 3 1. THE
PROJECT OF THIS BOOK 3 2. MATHEMATICAL PLATONISM AND ANTI-PLATONISM 3.
SYNOPSIS OF THE BOOK 14 ONE PLATONISM 19 THE EPISTEMOLOGICAL ARGUMENT
AGAINST PLATONISM 21 1. INTRODUCTION 21 2. FORMULATING THE
EPISTEMOLOGICAL ARGUMENT 22 3. A TAXONOMY OF PLATONIST RESPONSES 24 4.
CONTACT WITH OTHER WORLDS: GODEL 25 5. CONTACT IN THIS WORLD: MADDY 28
6. KNOWLEDGE WITHOUT CONTACT 35 A NEW PLATONIST EPISTEMOLOGY 48 1.
INTRODUCTION 48 2. SKELETON OF THE REFUTATION OF THE EPISTEMOLOGICAL
ARGUMENT 48 3. INTERNALIST VS. EXTERNALIST EXPLANATIONS 53 4. DEFENDING
AND MOTIVATING FBP 58 5. CONSISTENCY 69 NON-UNIQUENESS EMBRACED 76 1.
INTRODUCTION 76 2. TRYING TO SALVAGE THE NUMBERS 77 3. STRUCTURALISM ~ -
80 4. THE SOLUTION 84 5. TWO LOOSE ENDS 90 X CONTENTS TWO ANTI-PLATONISM
93 5 THE FREGEAN ARGUMENT AGAINST ANTI-PLATONISM 95 1. INTRODUCTION 95
2. THE ARGUMENT 95 3. IN DEFENSE OF FICTIONALISM 98 4. NONFICTIONALISTIC
VERSIONS OF ANTI-REALISTIC ANTI-PLATONISM 100 5. THE REFUTATION OF
REALISTIC ANTI-PLATONISM 104 6. PLATONISM AND THE ISSUE OF APPLICABILITY
AND INDISPENSABILITY 109 6 DENYING THE EXISTENCE OF INDISPENSABLE
APPLICATIONS: TOWARD A NOMINALIZATION OF QUANTUM MECHANICS 113 1.
INTRODUCTION 113 2. HOW FIELD NOMINALIZES 114 3. MALAMENT S OBJECTION
117 4. THE STRATEGY FOR NOMINALIZING QM 120 5. THE NOMINALISTIC STATUS
OF PROPENSITIES 126 7 ACCOUNTING FOR INDISPENSABLE APPLICATIONS FROM A
FICTIONALIST POINT OF VIEW 128 1. INTRODUCTION 128 2. WHAT, EXACTLY,
NEEDS TO BE ACCOUNTED FOR? 128 3. A FICTIONALIST ACCOUNT OF THE
APPLICABILITY OF MATHEMATICS 130 4. PROBLEMS WITH PLATONISM REVISITED
142 THREE CONCLUSIONS 149 8 THE UNSOLVABILITY OF THE PROBLEM AND A
KINDER, GENTLER POSITIVISM 151 1. INTRODUCTION 151 2. THE STRONG
EPISTEMIC CONCLUSION 152 3. THE METAPHYSICAL CONCLUSION 158 4. MY
OFFICIAL VIEW 178 NOTES 181 BIBLIOGRAPHY 207 INDEX 213
|
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| publishDate | 1998 |
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| spelling | Balaguer, Mark Verfasser aut Platonism and anti-Platonism in mathematics Mark Balaguer New York [u.a.] Oxford Univ. Press 1998 X, 217 S. txt rdacontent n rdamedia nc rdacarrier Platonisme gtt Wiskunde gtt Mathematik Philosophie Mathematics Philosophy Platonists Platonismus (DE-588)4046303-5 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematischer Körper gnd rswk-swf Mathematischer Körper f Platonismus (DE-588)4046303-5 s DE-604 Mathematik (DE-588)4037944-9 s Philosophie (DE-588)4045791-6 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008260240&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Balaguer, Mark Platonism and anti-Platonism in mathematics Platonisme gtt Wiskunde gtt Mathematik Philosophie Mathematics Philosophy Platonists Platonismus (DE-588)4046303-5 gnd Mathematik (DE-588)4037944-9 gnd Philosophie (DE-588)4045791-6 gnd |
| subject_GND | (DE-588)4046303-5 (DE-588)4037944-9 (DE-588)4045791-6 |
| title | Platonism and anti-Platonism in mathematics |
| title_auth | Platonism and anti-Platonism in mathematics |
| title_exact_search | Platonism and anti-Platonism in mathematics |
| title_full | Platonism and anti-Platonism in mathematics Mark Balaguer |
| title_fullStr | Platonism and anti-Platonism in mathematics Mark Balaguer |
| title_full_unstemmed | Platonism and anti-Platonism in mathematics Mark Balaguer |
| title_short | Platonism and anti-Platonism in mathematics |
| title_sort | platonism and anti platonism in mathematics |
| topic | Platonisme gtt Wiskunde gtt Mathematik Philosophie Mathematics Philosophy Platonists Platonismus (DE-588)4046303-5 gnd Mathematik (DE-588)4037944-9 gnd Philosophie (DE-588)4045791-6 gnd |
| topic_facet | Platonisme Wiskunde Mathematik Philosophie Mathematics Philosophy Platonists Platonismus Mathematischer Körper |
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