Thinking about mathematics: the philosophy of mathematics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Oxford Univ. Press
2000
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 308 S. Ill. |
| ISBN: | 0192893068 9780192893062 |
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Datensatz im Suchindex
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| adam_text | THINKING ABOUT MATHEMATICS THE PHILOSOPHY OF MATHEMATICS STEWART SHAPIRO
OXFORD UNIVERSITY PRESS CONTENTS PART I. PERSPECTIVE 1 WHAT IS SO
INTERESTING ABOUT MATHEMATICS (FOR A PHILOSOPHER)? 3 1.
ATTRACTION*OFOPPOSITES? 3 2. PHILOSOPHY AND MATHEMATICS: CHICKEN OR EGG?
7 3. NATURALISM AND MATHEMATICS 16 2 A POTPOURRI OF QUESTIONS AND
ATTEMPTED ANSWERS 21 1. NECESSITY AND A PRIORI KNOWLEDGE 21 2. GLOBAL
MATTERS: OBJECTS AND OBJECTIVITY 24 2.1. OBJECT 25 2.2. TRUTH 29 3.
THE MATHEMATICAL AND THE PHYSICAL 33 4. LOCAL MATTERS: THEOREMS,
THEORIES, AND CONCEPTS 39 PART II. HISTORY 3 PLATO S RATIONALISM, AND
ARISTOTLE 49 1. THE WORLD OF BEING 51 2. PLATO ON MATHEMATICS 52 3.
MATHEMATICS ON PLATO 60 4. ARISTOTLE, THE WORTHY OPPONENT 63 5. FURTHER
READING 71 4 NEAR OPPOSITES: KANT AND MILL 73 1. REORIENTATION 73 2.
KANT 76 3. MILL 91 4. FURTHER READING 102 PART III. THE BIG THREE 5
LOGICISM: IS MATHEMATICS (JUST) LOGIC? 107 1. FREGE 108 2. RUSSELL 115
XII CONTENTS 3. CARNAP AND LOGICAL POSITIVISM 124 4. CONTEMPORARY VIEWS
133 5. FURTHER READING 138 6 , FORMALISM: DO MATHEMATICAL STATEMENTS
MEAN ANYTHING? 140 1. BASIC VIEWS; FREGE S ONSLAUGHT 141 1.1. TERMS 142
1.2. GAMES 144 2. DEDUCTIVISM: HILBERT S GRUNDLAGEN DER GEOMETRIE 148 3.
FINITISM: THE HILBERT PROGRAMME 158 4. INCOMPLETENESS 165 5. CURRY 168
6. FURTHER READING 171 7 INTUITIONISM: IS SOMETHING WRONG WITH OUR
LOGIC? 172 1. REVISING CLASSICAL LOGIC 172 2. THE TEACHER, BROUWER 174
3. THE STUDENT, HEYTING 185 4. DUMMETT 190 5. FURTHER READING 197 PART
IV THE CONTEMPORARY SCENE 8 NUMBERS EXIST 201 1. GODEL 202 2. THE WEB OF
BELIEF 212 3. SET-THEORETIC REALISM 220 4. FURTHER READING 225 9 NO THEY
DON T 226 1. FICTIONALISM 227 2. MODAL CONSTRUCTION 237 3. WHAT SHOULD
WE MAKE OF ALL THIS? 243 4. ADDENDUM: YOUNG TURKS 249 5. FURTHER READING
256 10 STRUCTURALISM 257 1. THE UNDERLYING IDEA 257 2. ANTE REM
STRUCTURES, AND OBJECTS 263 3. STRUCTURALISM WITHOUT STRUCTURES 270
CONTENTS XIII 4. KNOWLEDGE OF STRUCTURES 275 4.1. PATTERN RECOGNITION
AND OTHER ABSTRACTION 276 4.2. IMPLICIT DEFINITION 283 5. FURTHER
READING 289 REFERENCES 290 INDEX 303
|
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| author | Shapiro, Stewart 1951- |
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| callnumber-raw | QA8.4.S532 2000 |
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| classification_rvk | CC 2600 SG 700 |
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| dewey-full | 510/.121 510/.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510/.1 21 510/.1 |
| dewey-search | 510/.1 21 510/.1 |
| dewey-sort | 3510 11 221 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
| edition | 1. publ. |
| format | Book |
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| isbn | 0192893068 9780192893062 |
| language | English |
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| physical | XIII, 308 S. Ill. |
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| spelling | Shapiro, Stewart 1951- Verfasser (DE-588)131540564 aut Thinking about mathematics the philosophy of mathematics Stewart Shapiro 1. publ. Oxford [u.a.] Oxford Univ. Press 2000 XIII, 308 S. Ill. txt rdacontent n rdamedia nc rdacarrier Mathematik Philosophie Mathematics -- Philosophy Mathematik (DE-588)4037944-9 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematik (DE-588)4037944-9 s Philosophie (DE-588)4045791-6 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009050752&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Shapiro, Stewart 1951- Thinking about mathematics the philosophy of mathematics Mathematik Philosophie Mathematics -- Philosophy Mathematik (DE-588)4037944-9 gnd Philosophie (DE-588)4045791-6 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4045791-6 |
| title | Thinking about mathematics the philosophy of mathematics |
| title_auth | Thinking about mathematics the philosophy of mathematics |
| title_exact_search | Thinking about mathematics the philosophy of mathematics |
| title_full | Thinking about mathematics the philosophy of mathematics Stewart Shapiro |
| title_fullStr | Thinking about mathematics the philosophy of mathematics Stewart Shapiro |
| title_full_unstemmed | Thinking about mathematics the philosophy of mathematics Stewart Shapiro |
| title_short | Thinking about mathematics |
| title_sort | thinking about mathematics the philosophy of mathematics |
| title_sub | the philosophy of mathematics |
| topic | Mathematik Philosophie Mathematics -- Philosophy Mathematik (DE-588)4037944-9 gnd Philosophie (DE-588)4045791-6 gnd |
| topic_facet | Mathematik Philosophie Mathematics -- Philosophy |
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