Russell's unknown logicism: a study in the history and philosophy of mathematics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basingstoke [u.a.]
Palgrave Macmillan
2012
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | History of analytic philosophy
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 245 - 258 |
| Beschreibung: | XIII, 263 S. graph. Darst. 23 cm |
| ISBN: | 9780230576995 0230576990 |
Internformat
MARC
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| 490 | 0 | |a History of analytic philosophy | |
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| 600 | 1 | 4 | |a Russell, Bertrand / 1872-1970 / Principle of mathematics |
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Datensatz im Suchindex
| _version_ | 1804149071221358592 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
LISTOF FIGURESAND TABLES VII
ACKNOWLEDGEMENTS IX
SENESEDITOR SFOREWORD XI
INTRODUCTION 1
1 PROJECTIVE GEOMETRY 16
1.1 PROJECTIVE AND METRICAL PROPERTIES 17
1.2 THE STATUS OF THE FUNDAMENTAL THEOREM OF PROJECTIVE GEOMETRY 24 1.3
RUSSELL S TWOFOLD ANALYSIS 30
1.4 RUSSELL S CHOICE 36
1.5 SPACE AS AN INCIDENCE STRUCTURE 42
1.6 CONCLUSION 47
2 METRICAL GEOMETRY 49
2.1 LOGICISM, IF-THENISM AND NON-EUCLIDEAN GEOMETRIES 50
2.2 THE PROJECTIVE DEFINITION OF A METRIC 54
2.3 METRICAL GEOMETRY, DISTANCE AND STRETCH 61
2.4 POINCARE AND RUSSELL ON THE PERCEPTION OF DISTANCE 66
2.5 METRICAL GEOMETRY AS AN EMPIRICAL SCIENCE 71
2.6 CONCLUSION 76
3 GEOMETRY, LOGICISM AND IF-THENISM 79
3.1 RUSSELL S IF-THENISM (I): DEFINITIONS 80
3.2 RUSSELL S IF-THENISM (11):EXISTENCE-THEOREMS 84
3.3 TOPIC SPECIFICITIES AND PSYCHOLOGISM 89
3.4 THE TYPES OF RELATIONS AND THE ARCHITECTURE OF MATHEMATICS 95
3.5 THE INTERACTION BETWEEN LOGIC AND MATHEMATICS: A PERSISTENT
DIFFICULTY? 101
3.6 CONCLUSION 105
4 QUANTITY IN THE PRINCIPLES OF MA THEMA TICS 107
4.1 MAGNITUDE AND QUANTITY 108
4.2 THE CONCEPT OF A MEASURABLE MAGNITUDE 114
4.3 THE ABSOLUTIST THEORY AND THE CONCEPT OF A KIND OF MAGNITUDE 120 4.4
THE RELATIONAL THEORY OF DISTANCE 126
4.5 CONCLUSION 132
5 QUANTITY IN PRINCIPIA MATHEMATICA 134
5.1 DEDEKIND, BURALI-FORTI AND FREGE ON REAL NUMBERS 135
5.2 RUSSELL AND WHITEHEAD S THEORY OF NUMBERS 141
V
IMAGE 2
VI CONTENTS
5.3 THE RELATION AL THEORY OF VECTOR FAMILY 146
5.4 HALE S FREGEAN AXIOMATIC DEFINITION VERSUS RUSSELL AND WHITEHEAD S
RELATIONAL THEORY 153
5.5 CONCLUSION 158
6 APPLICATION CONSTRAINT IN PRINCIPIA MATHEMATIEA 160
6.1 WHITEHEAD S CONCEPTION OF APPLIED MATHEMATICS 162
6.2 REAL ANALYSIS AND REAL NUMBERS 166
6.3 THE ARCHITECTONIC USE OF APPLIC 170
6.4 APPLIC IN NEO-IOGICISM 173
6.5 APPLIC AND THE DISTINCTION BETWEEN LOGICAL AND APPARENT FORMS OF
PROPOSITIONS 178
6.6 CONCLUSION 184
7 RUSSELL S UNIVERSALISM AND TOPIC-SPECIFICITY 187
7.1 PRE-IOGICIZED AND LOGICIZED MATHEMATICS 189
7.2 RUSSELL S POSITIVE UNIVERSALISM 193
7.3 LOGICISM AND THE DEFINITION OF THE MATHEMATICAL CONTENT 200 7.4
RUSSELL S LOGICISM AND PRACTICE-BASED PHILOSOPHY OF MATHEMATICS 204
7.5 CONCLUSION 210
NORES 213
BIBLIOGRAPHY 245
INDEX 259
|
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| author | Gandon, Sébastien |
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| dewey-ones | 192 - Philosophy of British Isles |
| dewey-raw | 192 |
| dewey-search | 192 |
| dewey-sort | 3192 |
| dewey-tens | 190 - Modern western philosophy |
| discipline | Philosophie |
| edition | 1. publ. |
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| id | DE-604.BV040114787 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:17:12Z |
| institution | BVB |
| isbn | 9780230576995 0230576990 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024971024 |
| oclc_num | 782988628 |
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| owner | DE-29 DE-12 |
| owner_facet | DE-29 DE-12 |
| physical | XIII, 263 S. graph. Darst. 23 cm |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Palgrave Macmillan |
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| series2 | History of analytic philosophy |
| spelling | Gandon, Sébastien Verfasser aut Russell's unknown logicism a study in the history and philosophy of mathematics Sébastien Gandon 1. publ. Basingstoke [u.a.] Palgrave Macmillan 2012 XIII, 263 S. graph. Darst. 23 cm txt rdacontent n rdamedia nc rdacarrier History of analytic philosophy Literaturverz. S. 245 - 258 Russell, Bertrand / 1872-1970 / Principa mathematica Russell, Bertrand / 1872-1970 / Principle of mathematics Russell, Bertrand 1872-1970 Principia mathematica (DE-588)4400603-2 gnd rswk-swf Russell, Bertrand 1872-1970 Principia mathematica (DE-588)4400603-2 u b DE-604 V:DE-604 application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024971024&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gandon, Sébastien Russell's unknown logicism a study in the history and philosophy of mathematics Russell, Bertrand / 1872-1970 / Principa mathematica Russell, Bertrand / 1872-1970 / Principle of mathematics Russell, Bertrand 1872-1970 Principia mathematica (DE-588)4400603-2 gnd |
| subject_GND | (DE-588)4400603-2 |
| title | Russell's unknown logicism a study in the history and philosophy of mathematics |
| title_auth | Russell's unknown logicism a study in the history and philosophy of mathematics |
| title_exact_search | Russell's unknown logicism a study in the history and philosophy of mathematics |
| title_full | Russell's unknown logicism a study in the history and philosophy of mathematics Sébastien Gandon |
| title_fullStr | Russell's unknown logicism a study in the history and philosophy of mathematics Sébastien Gandon |
| title_full_unstemmed | Russell's unknown logicism a study in the history and philosophy of mathematics Sébastien Gandon |
| title_short | Russell's unknown logicism |
| title_sort | russell s unknown logicism a study in the history and philosophy of mathematics |
| title_sub | a study in the history and philosophy of mathematics |
| topic | Russell, Bertrand / 1872-1970 / Principa mathematica Russell, Bertrand / 1872-1970 / Principle of mathematics Russell, Bertrand 1872-1970 Principia mathematica (DE-588)4400603-2 gnd |
| topic_facet | Russell, Bertrand / 1872-1970 / Principa mathematica Russell, Bertrand / 1872-1970 / Principle of mathematics Russell, Bertrand 1872-1970 Principia mathematica |
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