Introducing philosophy of mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Stocksfield
Acumen
2007
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 204 S. graph. Darst. |
| ISBN: | 9781844650606 9781844650613 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804138999509417984 |
|---|---|
| adam_text | INTRODUCING PHILOSOPHY OF MATHEMATICS MICHELE FRIEND ACUMEN CONTENTS
ACKNOWLEDGEMENTS VII PREFACE IX 1. INFINITY 1 1. INTRODUCTION 1 2.
ZENO S PARADOXES 2 3. POTENTIAL VERSUS ACTUAL INFINITY 7 4. THE ORDINAL
NOTION OF INFINITY 12 5. THE CARDINAL NOTION OF INFINITY 13 6. SUMMARY
22 2. MATHEMATICAL PLATONISM AND REALISM 23 1. INTRODUCTION 23 2.
HISTORICAL ORIGINS 23 3. REALISM IN GENERAL 26 4. KURTGODEL 35 5.
PENELOPE MADDY 37 6. GENERAL PROBLEMS WITH SET-THEORETIC REALISM 41 7.
CONCLUSION 46 8. SUMMARY 47 3. LOGICISM 49 1. INTRODUCTION 49 2. FREGE S
LOGICISM: TECHNICAL ACCOMPLISHMENTS 52 3. FREGE S LOGICISM:
PHILOSOPHICAL ACCOMPLISHMENTS 58 4. PROBLEMS WITH FREGE S LOGICISM 63 5.
WHITEHEAD AND RUSSELL S LOGICISM 66 6. PHILOSOPHICALLY, WHAT IS WRONG
WITH WHITEHEAD AND 71 RUSSELL S TYPE THEPRY? CONTENTS 7. OTHER ATTEMPTS
AT LOGICISM 78 8. CONCLUSION 78 9. SUMMARY 79 4. STRUCTURALISM 81 1.
INTRODUCTION 81 2. THE MOTIVATION FOR STRUCTURALISM: BENACERRAF S PUZZLE
83 3. THE PHILOSOPHY OF STRUCTURALISM: HELLMAN 85 4. THE PHILOSOPHY OF
STRUCTURALISM: RESNIK AND SHAPIRO 90 5. CRITIQUE 96 6. SUMMARY 100 5.
CONSTRUCTIVISM 101 1. INTRODUCTION 101 2. INTUITIONIST LOGIC 106 3.
PRIMA FACIE MOTIVATIONS FOR CONSTRUCTIVISM 113 4. DEEPER MOTIVATIONS FOR
CONSTRUCTIVISM 114 5. THE SEMANTICS OF INTUITIONIST LOGIC: DUMMETT 121
6. PROBLEMS WITH CONSTRUCTIVISM 123 7. SUMMARY * 124 6. A POT-POURRI OF
PHILOSOPHIES OF MATHEMATICS 127 1. INTRODUCTION 127 2. EMPIRICISM AND
NATURALISM 130 3. FICTIONALISM 134 4. PSYCHOLOGISM 137 5. HUSSERL 141 6.
FORMALISM 147 7. HILBERT 153 8. MEINONGIAN PHILOSOPHY OF MATHEMATICS 157
9. LAKATOS 163 APPENDIX: PROOF: EX FALSO QUOD LIBET 167 GLOSSARY 169
NOTES 177 GUIDE TO FURTHER READING 191 BIBLIOGRAPHY 195 INDEX 201 VI
INTRODUCING PHILOSOPHY OF MATHEMATICS
|
| any_adam_object | 1 |
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| author_facet | Friend, Michèle |
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| dewey-full | 510.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.1 |
| dewey-search | 510.1 |
| dewey-sort | 3510.1 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
| edition | 1. publ. |
| format | Book |
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| indexdate | 2024-07-09T21:37:07Z |
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| isbn | 9781844650606 9781844650613 |
| language | English |
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| spelling | Friend, Michèle Verfasser aut Introducing philosophy of mathematics Michèle Friend 1. publ. Stocksfield Acumen 2007 XI, 204 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s Philosophie (DE-588)4045791-6 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017443621&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Friend, Michèle Introducing philosophy of mathematics Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4045791-6 (DE-588)4037944-9 |
| title | Introducing philosophy of mathematics |
| title_auth | Introducing philosophy of mathematics |
| title_exact_search | Introducing philosophy of mathematics |
| title_full | Introducing philosophy of mathematics Michèle Friend |
| title_fullStr | Introducing philosophy of mathematics Michèle Friend |
| title_full_unstemmed | Introducing philosophy of mathematics Michèle Friend |
| title_short | Introducing philosophy of mathematics |
| title_sort | introducing philosophy of mathematics |
| topic | Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Philosophie Mathematik |
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