Verfügbarkeit: Brouwer meets Husserl

Brouwer meets Husserl: on the phenomenology of choice sequences

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Bibliographische Detailangaben
1. Verfasser:	Atten, Mark van (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Dordrecht Springer 2007
Schlagworte:	Brouwer, L. E. J <1881-1966> > (Luitzen Egbertus Jan) Husserl, Edmund <1859-1938> Brouwer, Luitzen E. J. > 1881-1966 Husserl, Edmund > 1859-1938 Phänomenologie - Wahlfolge Intuitionistic mathematics Phenomenology Sequences (Mathematics) Phänomenologie Ontologie Mathematik
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	"This is an analysis, using Husserl's methods, of Brouwer's main contribution to the ontology of mathematics" (preface)
Beschreibung:	XIII, 191 S.
ISBN:	1402050860 9781402050862

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Datensatz im Suchindex

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adam_text	CONTENTS PREFACE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. IX ACKNOWLEDGEMENTS XI 1 AN INFORMAL INTRODUCTION. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2 INTRODUCTION. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.1 THE AIM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 THE THESIS 5 2.3 MOTIVATION 5 2.4 METHOD, AND AN ASSUMPTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.5 THE LITERATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3 THE ARGUMENT. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.1 PRESENTATION............................................ 9 3.2 COMMENTS.............................................. 9 4 THE ORIGINAL POSITIONS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 11 4.1 THE INEOMPATIBILITY OF HUSSERL S AND BROUWER S POSITIONS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 11 4.2 TWO SOURCES OF MUTUAL PRESSURE . . . . . . . . . . . . . . . . . . . . . . . . . .. 17 4.2.1 SIMILARITY OF METHODS . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 18 4.2.2 INITIAL PLAUSIBILITY OF BOTH POSITIONS . . . . . . . . . . . . . . . .. 27 4.3 RESOLVING THE CONFIIET: THE OPTIONS, AND A PROPOSAL. . . . . . . .. 37 4.3.1 DENY THAT SOME MATHEMATIEAL OBJECTS ARE INTRATEMPORAL, DYNAMIE AND UNBOUNDED 37 4.3.2 DENY THAT MATHEMATIEAL OBJEETS ARE OMNITEMPORAL. .. 39 4.3.3 DENY THAT MATHEMATIEAL OBJEETS ARE WITHIN THE TEMPORAL REALM 40 4.3.4 DENY THAT MATHEMATIES IS ABOUT OBJEETS . . . . . . . . . . .. 40 4.3.5 APROPOSAL: THE HETEROGENEOUS UNIVERSE 51 VII VIII CONTENTS 5 THE PHENOMENOLOGICAL INCORRECTNESS OF THE ORIGINAL ARGUMENTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 53 5.1 THE PHENOMENOLOGICAL STANDARD FOR A CORRECT ARGUMENT IN ONTOLOGY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 53 5.2 HUSSERL S WEAK REVISIONISM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 55 5.3 HUSSERL S IMPLIED STRANG REVISIONISM 59 5.4 THE INCOMPLETENESS OF HUSSERL S ARGUMENT. . . . . . . . . . . . . . . . .. 67 5.4.1 FROM ATEMPORALITY TO OMNITEMPORALITY . . . . . . . . . . . . .. 67 5.4.2 POSSIBLE INFLUENCE OF HUSSERL S INFORMANTS. . . . . . . . . . . .. 72 5.5 THE IRREFLEXIVITY OF BRAUWER S PHILOSOPHY 74 6 THE CONSTITUTION OF CHOICE SEQUENCES . . . . . . . . . . . . . . . . . . . .. 85 6.1 A MOTIVATION FOR CHOICE SEQUENCES . . . . . . . . . . . . . . . . . . . . . . .. 85 6.2 CHOICE SEQUENCES AS OBJECTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 89 6.3 CHOICE SEQUENCES AS MATHEMATICAL OBJECTS . . . . . . . . . . . . . . . .. 95 6.3.1 THE TEMPORALITY OF CHOICE SEQUENCES . . . . . . . . . . . . . . .. 96 6.3.2 THE FORMAL CHARACTER OF CHOICE SEQUENCES . . . . . . . . . .. 97 6.3.3 THE SUBJECT-DEPENDENCY OF CHOICE SEQUENCES . . . . . . . .. 98 7 APPLICATION: AN ARGUMENT FOR WEAK CONTINUITY 103 7.1 THE WEAK CONTINUITY PRINCIPLE 103 7.2 AN ARGUMENT THAT DOES NOT WORK 105 7.3 A PHENOMENOLOGICAL ARGUMENT 106 8 CONCLUDING REMARKS 111 APPENDIX: INTUITIONISTIC REMARKS ON HUSSERL S ANALYSIS OF FINITE N UMBER IN THE PHILOSOPHY OF A RITHMETIC 113 NOTES 127 REFERENCES 169 NAME AND CITATION INDEX 181 SUBJEET INDEX 187
adam_txt	CONTENTS PREFACE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IX ACKNOWLEDGEMENTS XI 1 AN INFORMAL INTRODUCTION. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2 INTRODUCTION. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.1 THE AIM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 THE THESIS 5 2.3 MOTIVATION 5 2.4 METHOD, AND AN ASSUMPTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.5 THE LITERATURE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3 THE ARGUMENT. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.1 PRESENTATION. 9 3.2 COMMENTS. 9 4 THE ORIGINAL POSITIONS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 4.1 THE INEOMPATIBILITY OF HUSSERL'S AND BROUWER'S POSITIONS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 4.2 TWO SOURCES OF MUTUAL PRESSURE . . . . . . . . . . . . . . . . . . . . . . . . . . 17 4.2.1 SIMILARITY OF METHODS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 4.2.2 INITIAL PLAUSIBILITY OF BOTH POSITIONS . . . . . . . . . . . . . . . . 27 4.3 RESOLVING THE CONFIIET: THE OPTIONS, AND A PROPOSAL. . . . . . . . 37 4.3.1 DENY THAT SOME MATHEMATIEAL OBJECTS ARE INTRATEMPORAL, DYNAMIE AND UNBOUNDED 37 4.3.2 DENY THAT MATHEMATIEAL OBJEETS ARE OMNITEMPORAL. . 39 4.3.3 DENY THAT MATHEMATIEAL OBJEETS ARE WITHIN THE TEMPORAL REALM 40 4.3.4 DENY THAT MATHEMATIES IS ABOUT OBJEETS . . . . . . . . . . . 40 4.3.5 APROPOSAL: THE HETEROGENEOUS UNIVERSE 51 VII VIII CONTENTS 5 THE PHENOMENOLOGICAL INCORRECTNESS OF THE ORIGINAL ARGUMENTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 5.1 THE PHENOMENOLOGICAL STANDARD FOR A CORRECT ARGUMENT IN ONTOLOGY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 5.2 HUSSERL'S WEAK REVISIONISM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 5.3 HUSSERL'S IMPLIED STRANG REVISIONISM 59 5.4 THE INCOMPLETENESS OF HUSSERL'S ARGUMENT. . . . . . . . . . . . . . . . . 67 5.4.1 FROM ATEMPORALITY TO OMNITEMPORALITY . . . . . . . . . . . . . 67 5.4.2 POSSIBLE INFLUENCE OF HUSSERL'S INFORMANTS. . . . . . . . . . . . 72 5.5 THE IRREFLEXIVITY OF BRAUWER'S PHILOSOPHY 74 6 THE CONSTITUTION OF CHOICE SEQUENCES . . . . . . . . . . . . . . . . . . . . 85 6.1 A MOTIVATION FOR CHOICE SEQUENCES . . . . . . . . . . . . . . . . . . . . . . . 85 6.2 CHOICE SEQUENCES AS OBJECTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 6.3 CHOICE SEQUENCES AS MATHEMATICAL OBJECTS . . . . . . . . . . . . . . . . 95 6.3.1 THE TEMPORALITY OF CHOICE SEQUENCES . . . . . . . . . . . . . . . 96 6.3.2 THE FORMAL CHARACTER OF CHOICE SEQUENCES . . . . . . . . . . 97 6.3.3 THE SUBJECT-DEPENDENCY OF CHOICE SEQUENCES . . . . . . . . 98 7 APPLICATION: AN ARGUMENT FOR WEAK CONTINUITY 103 7.1 THE WEAK CONTINUITY PRINCIPLE 103 7.2 AN ARGUMENT THAT DOES NOT WORK 105 7.3 A PHENOMENOLOGICAL ARGUMENT 106 8 CONCLUDING REMARKS 111 APPENDIX: INTUITIONISTIC REMARKS ON HUSSERL'S ANALYSIS OF FINITE N UMBER IN THE PHILOSOPHY OF A RITHMETIC 113 NOTES 127 REFERENCES 169 NAME AND CITATION INDEX 181 SUBJEET INDEX 187
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spelling	Atten, Mark van Verfasser aut Brouwer meets Husserl on the phenomenology of choice sequences by Mark van Atten Dordrecht Springer 2007 XIII, 191 S. txt rdacontent n rdamedia nc rdacarrier "This is an analysis, using Husserl's methods, of Brouwer's main contribution to the ontology of mathematics" (preface) Brouwer, L. E. J <1881-1966> (Luitzen Egbertus Jan) Husserl, Edmund <1859-1938> Brouwer, Luitzen E. J. 1881-1966 (DE-588)118988131 gnd rswk-swf Husserl, Edmund 1859-1938 (DE-588)118555006 gnd rswk-swf Phänomenologie - Wahlfolge Intuitionistic mathematics Phenomenology Sequences (Mathematics) Phänomenologie (DE-588)4045660-2 gnd rswk-swf Ontologie (DE-588)4075660-9 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Husserl, Edmund 1859-1938 (DE-588)118555006 p Brouwer, Luitzen E. J. 1881-1966 (DE-588)118988131 p Phänomenologie (DE-588)4045660-2 s Mathematik (DE-588)4037944-9 s Ontologie (DE-588)4075660-9 s DE-604 V:DE-604 application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014865978&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Atten, Mark van Brouwer meets Husserl on the phenomenology of choice sequences Brouwer, L. E. J <1881-1966> (Luitzen Egbertus Jan) Husserl, Edmund <1859-1938> Brouwer, Luitzen E. J. 1881-1966 (DE-588)118988131 gnd Husserl, Edmund 1859-1938 (DE-588)118555006 gnd Phänomenologie - Wahlfolge Intuitionistic mathematics Phenomenology Sequences (Mathematics) Phänomenologie (DE-588)4045660-2 gnd Ontologie (DE-588)4075660-9 gnd Mathematik (DE-588)4037944-9 gnd
subject_GND	(DE-588)118988131 (DE-588)118555006 (DE-588)4045660-2 (DE-588)4075660-9 (DE-588)4037944-9
title	Brouwer meets Husserl on the phenomenology of choice sequences
title_auth	Brouwer meets Husserl on the phenomenology of choice sequences
title_exact_search	Brouwer meets Husserl on the phenomenology of choice sequences
title_exact_search_txtP	Brouwer meets Husserl on the phenomenology of choice sequences
title_full	Brouwer meets Husserl on the phenomenology of choice sequences by Mark van Atten
title_fullStr	Brouwer meets Husserl on the phenomenology of choice sequences by Mark van Atten
title_full_unstemmed	Brouwer meets Husserl on the phenomenology of choice sequences by Mark van Atten
title_short	Brouwer meets Husserl
title_sort	brouwer meets husserl on the phenomenology of choice sequences
title_sub	on the phenomenology of choice sequences
topic	Brouwer, L. E. J <1881-1966> (Luitzen Egbertus Jan) Husserl, Edmund <1859-1938> Brouwer, Luitzen E. J. 1881-1966 (DE-588)118988131 gnd Husserl, Edmund 1859-1938 (DE-588)118555006 gnd Phänomenologie - Wahlfolge Intuitionistic mathematics Phenomenology Sequences (Mathematics) Phänomenologie (DE-588)4045660-2 gnd Ontologie (DE-588)4075660-9 gnd Mathematik (DE-588)4037944-9 gnd
topic_facet	Brouwer, L. E. J <1881-1966> (Luitzen Egbertus Jan) Husserl, Edmund <1859-1938> Brouwer, Luitzen E. J. 1881-1966 Husserl, Edmund 1859-1938 Phänomenologie - Wahlfolge Intuitionistic mathematics Phenomenology Sequences (Mathematics) Phänomenologie Ontologie Mathematik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014865978&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT attenmarkvan brouwermeetshusserlonthephenomenologyofchoicesequences

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