Mathematical intuitionism and intersubjectivity: a critical exposition of arguments for intuitionism
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1999
|
| Schriftenreihe: | Synthese library
279 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 218 S. |
| ISBN: | 0792356306 |
Internformat
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| 650 | 4 | |a Intersubjectivity | |
| 650 | 4 | |a Intuitionistic mathematics | |
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Datensatz im Suchindex
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|---|---|
| adam_text | TOMASZ PLACEK JAGIELLONIAN UNIVERSITY, CRACOW, POLAND MATHEMATICAL
INTUITIONISM AND INTERSUBJECTIVITY A CRITICAL EXPOSITION OF ARGUMENTS
FOR INTUITIONISM KLUWER ACADEMIC PUBLISHERS DORDRECHT / BOSTON / LONDON
TABLE OF CONTENTS ACKNOWLEDGMENTS XI WORKS FREQUENTLY QUOTED XII CHAPTER
1 INTRODUCTION 1 1 OBJECTIVES OF THIS STUDY 1 2 INTERSUBJECTIVITY AND
CONDITIONS OF INTERSUBJECTIVITY 4 3 MATHEMATICIANS ON INTERSUBJECTIVITY
12 CHAPTER 2 BROUWER S PHILOSOPHY 17 1 THE KNOWING SUBJECT 18 1.1 MIND,
TIME AND OBJECTS 18 1.2 BROUWER AND THE PROBLEM OF OTHER MINDS 22 1.3
THE BASIC INTUITION OF TWO-ITY 27 2 MATHEMATICS AND INTUITION 29 2.1
INFINITELY PROCEEDING SEQUENCES, SPREADS AND SPECIES 29 2.2 WHAT IS NOT
INTUITIONISTICALLY INTUITIVE? 36 2.3 SOME OBJECTIONS TO BROUWER S
CONCEPT OF INTUITION 40 2.4 THE POSSIBLE CONSTRUCTION: BROUWER S NOTION
OF POSSIBILITY 44 3 LANGUAGE, TRUTH AND RELATIONS BETWEEN LOGIC AND
MATHEMATICS 48 3.1 LANGUAGE 48 3.2 AGAINST HILBERT S PROGRAM 51 3.3
BROUWER S AND THE AXIOMATIC-DEDUCTIVE METHOD 54 3.4 WHAT IS LOGIC? 59
3.5 MATHEMATICS VS. LOGIC 62 3.6 AGAINST BEGRIFFE 6 5 3.7 WHAT IS TRUTH?
67 VII VLLL 3.8 THE VALIDITY OF LAWS OF LOGIC 69 3.8.1 WEAK
COUNTEREXAMPLES 69 3.8.2 A RECONSTRUCTION OF BROUWER S ARGUMENT 71 3.8.3
INDETERMINACY OR INFINITY 74 3.8.4 STRONG COUNTEREXAMPLES TO THE
(GENERALIZED) EXCLUDED MIDDLE 79 4 INTERSUBJECTIVITY IN BROUWER S
CONCEPTION OF MATHEMATICS 83 4.1 PSYCHOLOGISM, SUBJECTIVISM, SOLIPSISM?
84 4.2 BROUWER AND INTERSUBJECTIVITY: THE MENTALIST CONDITION 89 4.3 HOW
CAN ONE COMMUNICATE ABOUT MENTAL CONSTRUCTIONS? 90 5 CONCLUSIONS ABOUT
BROUWER S PHILOSOPHY 100 CHAPTER 3 HEYTING S ARGUMENTS 103 1 AGAINST
INTUITIONISTIC PHILOSOPHY, FOR INTUITIONISTIC PSYCHOLOGY? 104 2
INTUITION AS SELF-EVIDENCE 108 3 THE NEUTRALITY ARGUMENT 112 3.1
HEYTING S COUNTEREXAMPLES: WHAT DO THEY PROVE? 113 3.2 FROM ONTOLOGICAL
NEUTRALITY TO THE REPUDIATION OF BIVALENT TRUTH 119 4 THE SEMANTICAL
ARGUMENT 126 4.1 A NOTE ON HEYTING S VIEWS ON FORMALIZATION AND LOGIC
137 5 INTERSUBJECTIVITY IN HEYTING S CONCEPTION 139 6 RESUME OF
HEYTING S ARGUMENTS 144 CHAPTER 4 DUMMETT S CASE FOR INTUITIONISM 147 1
DUMMETT S PROGRAM: AN OVERVIEW 147 2 DUMMETT ON SEMANTIC THEORIES 151
2.1 THREE TASKS OF SEMANTIC THEORIES , 151 2.2 PROGRAMMATIC
INTERPRETATION 155 2.3 SKELETAL SEMANTICS 161 3 DUMMETT ON MEANING AND
ITS BASIS 164 3.1 MEANING, KNOWLEDGE AND UNDERSTANDING 164 3.2 SENSE,
FORCE AND HOLISM 170 3.3 SENSE AND SEMANTIC THEORY 173 4 THE
LANGUAGE-LEARNING ARGUMENT 176 4.1 KNOWLEDGE OF TRUTH CONDITIONS 176 IX
4.2 THE INGREDIENT OF MEANING THAT TRANSCENDS USE 181 4.3 WHY
INTUITIONISTIC PROVABILITY?*HOLISM TO THE RESCUE 187 5 RESUME OF
DUMMETT S ARGUMENT 192 CHAPTER 5 CONCLUSIONS X 194 APPENDIX 197 NOTES
203 BIBLIOGRAPHY 207 INDEX 213
|
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| indexdate | 2024-07-09T18:31:27Z |
| institution | BVB |
| isbn | 0792356306 |
| language | English |
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| spelling | Placek, Tomasz Verfasser aut Mathematical intuitionism and intersubjectivity a critical exposition of arguments for intuitionism Tomasz Placek Dordrecht [u.a.] Kluwer 1999 XI, 218 S. txt rdacontent n rdamedia nc rdacarrier Synthese library 279 Filosofie gtt Intuïtionisme gtt Mathematik Philosophie Intersubjectivity Intuitionistic mathematics Mathematics Philosophy Intersubjektivität (DE-588)4027489-5 gnd rswk-swf Intuitionistische Mathematik (DE-588)4162200-5 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Intuitionistische Mathematik (DE-588)4162200-5 s DE-604 Mathematik (DE-588)4037944-9 s Intersubjektivität (DE-588)4027489-5 s Synthese library 279 (DE-604)BV000005044 279 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008602155&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Placek, Tomasz Mathematical intuitionism and intersubjectivity a critical exposition of arguments for intuitionism Synthese library Filosofie gtt Intuïtionisme gtt Mathematik Philosophie Intersubjectivity Intuitionistic mathematics Mathematics Philosophy Intersubjektivität (DE-588)4027489-5 gnd Intuitionistische Mathematik (DE-588)4162200-5 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4027489-5 (DE-588)4162200-5 (DE-588)4037944-9 |
| title | Mathematical intuitionism and intersubjectivity a critical exposition of arguments for intuitionism |
| title_auth | Mathematical intuitionism and intersubjectivity a critical exposition of arguments for intuitionism |
| title_exact_search | Mathematical intuitionism and intersubjectivity a critical exposition of arguments for intuitionism |
| title_full | Mathematical intuitionism and intersubjectivity a critical exposition of arguments for intuitionism Tomasz Placek |
| title_fullStr | Mathematical intuitionism and intersubjectivity a critical exposition of arguments for intuitionism Tomasz Placek |
| title_full_unstemmed | Mathematical intuitionism and intersubjectivity a critical exposition of arguments for intuitionism Tomasz Placek |
| title_short | Mathematical intuitionism and intersubjectivity |
| title_sort | mathematical intuitionism and intersubjectivity a critical exposition of arguments for intuitionism |
| title_sub | a critical exposition of arguments for intuitionism |
| topic | Filosofie gtt Intuïtionisme gtt Mathematik Philosophie Intersubjectivity Intuitionistic mathematics Mathematics Philosophy Intersubjektivität (DE-588)4027489-5 gnd Intuitionistische Mathematik (DE-588)4162200-5 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Filosofie Intuïtionisme Mathematik Philosophie Intersubjectivity Intuitionistic mathematics Mathematics Philosophy Intersubjektivität Intuitionistische Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008602155&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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