A realist philosophy of mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
College Publ.
2007
|
| Schriftenreihe: | Texts in philosophy
6 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references |
| Beschreibung: | XII, 276 S. Ill. 24 cm |
| ISBN: | 9781904987406 |
Internformat
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| 245 | 1 | 0 | |a A realist philosophy of mathematics |c Gianluigi Oliveri |
| 264 | 1 | |a London |b College Publ. |c 2007 | |
| 300 | |a XII, 276 S. |b Ill. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 4 | |a Philosophie | |
| 650 | 4 | |a Mathematics |x Philosophy | |
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Datensatz im Suchindex
| _version_ | 1804138533271633920 |
|---|---|
| adam_text | CONTENTS PREFACE IX INTRODUCTION 1 CHAPTER 1 THE REALISMJANTI-REALISM
DEBATE IN THE PHILOSOPHY OF MATHEMATICS: SOME QUESTIONS ABOUT
METHODOLOGY 3 1 INTRODUCTION.................... 3 2 A MAIN TASK OF THE
PHILOSOPHY OF MATHEMATICS 3 3 THE CENTRALITY OF THE QUESTION ABOUT
REALISM . 5 4 THE PROBLEM OF THE FRAMEWORK . 7 5 THE MYTH OF THE
FRAMEWORK . . . 9 6 A CASE-HISTORY: THE INFINITESIMALS 11 7 FROM LOGIC
TO METAPHYSICS? . . . 17 8 ASSESSINGSOME DUMMETTIAN CLAIMS . 20 9 A CASE
IN FAVOUR OF INDEPENDENCE 26 10 A NEW FORM OF DEBATE? . . . . . . 29 11
AN APPEAL TO HISTORY . . . . . . . 31 12 NATURALISM ABOUT MATHEMATICS?
36 CHAPTER 2 ARGUMENTS FOR REALISM IN MATHEMATICS 39 1
INTRODUCTION......................... 39 2 FROM REALISM IN MATHEMATICS
TO SET-THEORETICAL REALISM . 40 3 THE OBJECTIVITY ARGUMENT . . . . . . .
. . . . 41 4 TWO CASE-HISTORIES . . . . . . . . . . . . . . . 43 5 THE
IDENTITY AND INEXHAUSTIBILITY ARGUMENTS . 49 6 THE THEORY ACCEPTABILITY
ARGUMENT . . 52 7 SOME CASE-HISTORIES . . . . . . . . . . . 53 8 THE
FAITHFUL REPRESENTATIONS ARGUMENT 59 9 THE INDISPENSABILITY THESIS. . .
. . . . 61 10 FIELD AND THE INDISPENSABILITY THESIS . 63 11 CRITICAL
REMARKS 65 12 MORE AGAINST THE INDISPENSABILITY THESIS. 73 VI CHAPTER 3
TRADITIONAL REALIST POSITIONS 1 INTRODUCTION..... 2 PYTHAGOREAN REALISM
3 ARISTOTELIAN REALISM 4 KANTIAN REALISM. . . 5 PLATONISM...... 6
PLATONISM ABOUT OBJECTS 7 FREGEAN PLATONISM . . . 8 MATHEMATICS AS AN
EIDETIC SCIENCE . 9 MATHEMATICS AS A SCIENCE OF CONCEPTS . 10 PLATONISM
ABOUT STRUCTURES . . . . . . 11 PLATONISM ABOUT STRUCTURES, ITS
IMPORTANCE 12 PLATONISM ABOUT STRUCTURES: SOME OBJECTIONS CHAPTER 4
ANTI-REALISMIN MATHEMATICS 1 INTRODUCTION.............. 2 FORMALISM AND
HILBERT S PROGRAMME 3 FORMALISM: A CRITICAL ASSESSMENT 4 NOMINALISM IN
MATHEMATICS . 5 FICTIONALISM IN MATHEMATICS . 6 FIELD S ANTI-OBJECTIVISM
7 CONSTRUCTIVISM..... 8 BROUWER S INTUITIONISM . 9 DUMMETT S
INTUITIONISM 10 MARKOV S CONSTRUCTIVISM 11 BISHOP S PHILOSOPHY OF
MATHEMATICS 12 STRICT FINITISM . 79 79 80 82 86 97 98 .100 .105 111
.117 .119 121 127 127 127 .130 .134 135 137 139 142 .148
152 155 158 CHAPTER 5 THE THIRD WAY:A REALISMWITH THE HUMAN FACE 163
1 INTRODUCTION............. . 163 2 PATTERNS . . . . . . . . . . . . . .
. . 163 3 OBJECTS AND PROPERTIES OF OBJECTS . . 165 4 EXTERNAL AND
INTERNAL RELATIONS . . . 166 5 NEITHER IN RE NOR ANTE REM STRUCTURES . .
171 6 WHICH REALISM? . . . . . . . . . . . 173 7 KANT ON CONCEPTS AND
PERCEPTION . 176 8 SEEING OR INTERPRETING? . . . . . 179 9 PERCEPTIONS
AND EXPECTATIONS . 182 10 PSYCHOLOGISM? . 184 11 TWO OBJECTIONS . . . .
. . . . . 186 CONTENTS VII 12 SETS, PATTERNS, AND INFINITY 190 CHAPTER
6 MATHEMATICS: A QUASI-EMPIRLCAL SCIENCE? 195 1 INTRODUCTION............
. 195 2 A BASIC DISTINCTION . . . . . . . . . . . . 196 3
ANTI-EMPIRICISM IN MATHEMATICS ... . 196 4 IS MATHEMATICS AN EMPIRICAL
SCIENCE? . . 197 5 THE EMPIRICIST S DILEMMA ... . . 200 6
QUASI-EMPIRICISM............ . 202 7 IS MATHEMATICS QUASI-EMPIRICAL? ...
. 204 8 EUCLIDEAN GEOMETRY: A CASE-HISTORY (I) . 206 9 EUCLIDEAN
GEOMETRY: A CASE-HISTORY (11) . 210 10 SCIENTIFIC RESEARCH PROGRAMMES. .
. . . . 214 11 MATHEMATICAL RESEARCH PROGRAMMES . . . 218 12
QUASI-EMPIRICISM, FOUNDATIONS, FOUNDATIONALISM . . 220 CHAPTER 7 A
RATIONAL RECONSTRUCTION OF CANTOR- ZERMELO SET THEORY 223 1
INTRODUCTION................ . 223 2 THE PRE-HISTORY: CAUCHY ANALYSIS .
. . . . 225 3 THE PRE-HISTORY: THE THEORY OF FUNCTIONS . 226 4 THE HARD
CORE OF A NEW MRP (1) . 227 5 THE HARD CORE OF A NEW MRP (2) . . . . .
230 6 THE HARD CORE OF A NEW MRP (3) . . . . . 233 7 THE CANTOR-ZERMELO
MRP: THE PROTECTIVE BELT . 237 8 ZERMELO S SYSTEM Z: THE HARD CORE .. .
240 9 THE PROTECTIVE BELT OF Z . . . . . . . . . . . . . . 242 10
PROBLEMS WITH Z, AND THE SYSTEM ZFC . . . . . . 246 11 ANTI-REALIST
RIVALS OF THE CANTOR-ZERMELO MRP . 250 12 A NEW ARGUMENT FOR REALISM . .
. . . . . . . . 253 APPENDIX I THE BHK-INTERPRETATION BIBLIOGRAPHY INDEX
257 258 267
|
| any_adam_object | 1 |
| author | Oliveri, Gianluigi |
| author_facet | Oliveri, Gianluigi |
| author_role | aut |
| author_sort | Oliveri, Gianluigi |
| author_variant | g o go |
| building | Verbundindex |
| bvnumber | BV035253356 |
| callnumber-first | Q - Science |
| callnumber-label | QA8 |
| callnumber-raw | QA8.4 |
| callnumber-search | QA8.4 |
| callnumber-sort | QA 18.4 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | CC 2600 |
| ctrlnum | (OCoLC)123942807 (DE-599)BVBBV035253356 |
| 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 |
| format | Book |
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| id | DE-604.BV035253356 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:29:42Z |
| institution | BVB |
| isbn | 9781904987406 |
| language | English |
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| owner_facet | DE-29 |
| physical | XII, 276 S. Ill. 24 cm |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | College Publ. |
| record_format | marc |
| series | Texts in philosophy |
| series2 | Texts in philosophy |
| spelling | Oliveri, Gianluigi Verfasser aut A realist philosophy of mathematics Gianluigi Oliveri London College Publ. 2007 XII, 276 S. Ill. 24 cm txt rdacontent n rdamedia nc rdacarrier Texts in philosophy 6 Includes bibliographical references Mathematics / Philosophy Mathématiques - Philosophie Mathematik Philosophie Mathematics Philosophy Mathematik (DE-588)4037944-9 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Realismus (DE-588)4048680-1 gnd rswk-swf Mathematik (DE-588)4037944-9 s Realismus (DE-588)4048680-1 s Philosophie (DE-588)4045791-6 s DE-604 Texts in philosophy 6 (DE-604)BV023383305 6 Digitalisierung UB Erlangen application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017058972&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Oliveri, Gianluigi A realist philosophy of mathematics Texts in philosophy Mathematics / Philosophy Mathématiques - Philosophie Mathematik Philosophie Mathematics Philosophy Mathematik (DE-588)4037944-9 gnd Philosophie (DE-588)4045791-6 gnd Realismus (DE-588)4048680-1 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4045791-6 (DE-588)4048680-1 |
| title | A realist philosophy of mathematics |
| title_auth | A realist philosophy of mathematics |
| title_exact_search | A realist philosophy of mathematics |
| title_full | A realist philosophy of mathematics Gianluigi Oliveri |
| title_fullStr | A realist philosophy of mathematics Gianluigi Oliveri |
| title_full_unstemmed | A realist philosophy of mathematics Gianluigi Oliveri |
| title_short | A realist philosophy of mathematics |
| title_sort | a realist philosophy of mathematics |
| topic | Mathematics / Philosophy Mathématiques - Philosophie Mathematik Philosophie Mathematics Philosophy Mathematik (DE-588)4037944-9 gnd Philosophie (DE-588)4045791-6 gnd Realismus (DE-588)4048680-1 gnd |
| topic_facet | Mathematics / Philosophy Mathématiques - Philosophie Mathematik Philosophie Mathematics Philosophy Realismus |
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