Essays on Gödel's reception of Leibniz, Husserl, and Brouwer:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2015
|
| Series: | Logic, epistemology, and the unity of science
35 |
| Subjects: | |
| Online Access: | UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XIV, 327 S.) |
| ISBN: | 9783319100319 |
| DOI: | 10.1007/978-3-319-10031-9 |
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Record in the Search Index
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| adam_text | ESSAYS ON GODEL’S RECEPTION OF LEIBNIZ, HUSSERL, AND BROUWER
/ ATTEN, MARK VAN
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
CHAPTER 1. INTRODUCTION
PART I GOEDEL AND LEIBNIZ
CHAPTER 2 A NOTE ON LEIBNIZ’S ARGUMENT AGAINST INFINITE WHOLES
CHAPTER 3. MONADS AND SETS: ON GOEDEL, LEIBNIZ, AND THE REFLECTION
PRINCIPLE
CHAPTER 4. GOEDEL’S DIALECTICA INTERPRETATION AND LEIBNIZ
PART II GOEDEL AND HUSSERL
CHAPTER 5. PHENOMENOLOGY OF MATHEMATICS
CHAPTER 6. ON THE PHILOSOPHICAL DEVELOPMENT OF KURT GOEDEL (WITH
JULIETTE KENNEDY)
CHAPTER 7. GOEDEL, MATHEMATICS, AND POSSIBLE WORLDS
CHAPTER 8. TWO DRAFT LETTERS FROM GOEDEL ON SELF-KNOWLEDGE OF REASON
PART III GOEDEL AND BROUWER
CHAPTER 9. GOEDEL AND BROUWER: TWO RIVALLING BROTHERS
CHAPTER 10. MYSTICISM AND MATHEMATICS: BROUWER, GOEDEL, AND THE COMMON
CORE THESIS (WITH ROBERT TRAGESSER)
CHAPTER 11. GOEDEL AND INTUITIONISM
PART IV A PARTIAL ASSESSMENT
CHAPTER 12. CONSTRUCTION AND CONSTITUTION IN MATHEMATICS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
ESSAYS ON GODEL’S RECEPTION OF LEIBNIZ, HUSSERL, AND BROUWER
/ ATTEN, MARK VAN
: 2015
ABSTRACT / INHALTSTEXT
THIS VOLUME TACKLES GOEDEL S TWO-STAGE PROJECT OF FIRST USING HUSSERL S
TRANSCENDENTAL PHENOMENOLOGY TO RECONSTRUCT AND DEVELOP LEIBNIZ
MONADOLOGY, AND THEN FOUNDING CLASSICAL MATHEMATICS ON THE METAPHYSICS
THUS OBTAINED. THE AUTHOR ANALYSES THE HISTORICAL AND SYSTEMATIC ASPECTS
OF THAT PROJECT, AND THEN EVALUATES IT, WITH AN EMPHASIS ON THE SECOND
STAGE. THE BOOK IS ORGANISED AROUND GOEDEL S USE OF LEIBNIZ, HUSSERL AND
BROUWER. FAR FROM CONSIDERING PAST PHILOSOPHERS IRRELEVANT TO ACTUAL
SYSTEMATIC CONCERNS, GOEDEL EMBRACED THE USE OF HISTORICAL AUTHORS TO
FRAME HIS OWN PHILOSOPHICAL PERSPECTIVE. THE PHILOSOPHIES OF LEIBNIZ AND
HUSSERL DEFINE HIS PROJECT, WHILE BROUWER S INTUITIONISM IS ITS
PRINCIPAL FOIL: THE CLOSE AFFINITIES BETWEEN PHENOMENOLOGY AND
INTUITIONISM SET THE BAR FOR GOEDEL S ATTEMPT TO GO FAR BEYOND
INTUITIONISM.THE FOUR CENTRAL ESSAYS ARE `MONADS AND SETS , `ON THE
PHILOSOPHICAL DEVELOPMENT OF KURT GOEDEL , `GOEDEL AND INTUITIONISM ,
AND `CONSTRUCTION AND CONSTITUTION IN MATHEMATICS . THE FIRST ANALYSES
AND CRITICISES GOEDEL S ATTEMPT TO JUSTIFY, BY AN ARGUMENT FROM ANALOGY
WITH THE MONADOLOGY, THE REFLECTION PRINCIPLE IN SET THEORY. IT ALSO
PROVIDES FURTHER SUPPORT FOR GOEDEL S IDEA THAT THE MONADOLOGY NEEDS TO
BE RECONSTRUCTED PHENOMENOLOGICALLY, BY SHOWING THAT THE UNSUPPLEMENTED
MONADOLOGY IS NOT ABLE TO FOUND MATHEMATICS DIRECTLY. THE SECOND STUDIES
GOEDEL S READING OF HUSSERL, ITS RELATION TO LEIBNIZ MONADOLOGY, AND
ITS INFLUENCE ON HIS PUBLISHE D WRITINGS. THE THIRD DISCUSSES HOW ON
VARIOUS OCCASIONS BROUWER S INTUITIONISM ACTUALLY INSPIRED GOEDEL S
WORK, IN PARTICULAR THE DIALECTICA INTERPRETATION. THE FOURTH ADDRESSES
THE QUESTION WHETHER CLASSICAL MATHEMATICS ADMITS OF THE
PHENOMENOLOGICAL FOUNDATION THAT GOEDEL ENVISAGED, AND CONCLUDES THAT IT
DOES NOT.THE REMAINING ESSAYS PROVIDE FURTHER CONTEXT. THE ESSAYS
COLLECTED HERE WERE WRITTEN AND PUBLISHED OVER THE LAST DECADE. NOTES
HAVE BEEN ADDED TO RECORD FURTHER THOUGHTS, CHANGES OF MIND, CONNECTIONS
BETWEEN THE ESSAYS, AND UPDATES OF REFERENCES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| series2 | Logic, epistemology, and the unity of science |
| spelling | Atten, Mark van Verfasser aut Essays on Gödel's reception of Leibniz, Husserl, and Brouwer Mark van Atten Cham [u.a.] Springer 2015 1 Online-Ressource (XIV, 327 S.) txt rdacontent c rdamedia cr rdacarrier Logic, epistemology, and the unity of science 35 Gödel, Kurt 1906-1978 (DE-588)11869569X gnd rswk-swf Husserl, Edmund 1859-1938 (DE-588)118555006 gnd rswk-swf Brouwer, Luitzen E. J. 1881-1966 (DE-588)118988131 gnd rswk-swf Leibniz, Gottfried Wilhelm 1646-1716 (DE-588)118571249 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Rezeption (DE-588)4049716-1 gnd rswk-swf Erkenntnistheorie (DE-588)4070914-0 gnd rswk-swf Leibniz, Gottfried Wilhelm 1646-1716 (DE-588)118571249 p Husserl, Edmund 1859-1938 (DE-588)118555006 p Brouwer, Luitzen E. J. 1881-1966 (DE-588)118988131 p Rezeption (DE-588)4049716-1 s Gödel, Kurt 1906-1978 (DE-588)11869569X p Mathematik (DE-588)4037944-9 s Erkenntnistheorie (DE-588)4070914-0 s 1\p DE-604 Erscheint auch als Druckausgabe 978-3-319-10030-2 Logic, epistemology, and the unity of science 35 (DE-604)BV019709027 35 https://doi.org/10.1007/978-3-319-10031-9 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027736493&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027736493&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Atten, Mark van Essays on Gödel's reception of Leibniz, Husserl, and Brouwer Logic, epistemology, and the unity of science Gödel, Kurt 1906-1978 (DE-588)11869569X gnd Husserl, Edmund 1859-1938 (DE-588)118555006 gnd Brouwer, Luitzen E. J. 1881-1966 (DE-588)118988131 gnd Leibniz, Gottfried Wilhelm 1646-1716 (DE-588)118571249 gnd Mathematik (DE-588)4037944-9 gnd Rezeption (DE-588)4049716-1 gnd Erkenntnistheorie (DE-588)4070914-0 gnd |
| subject_GND | (DE-588)11869569X (DE-588)118555006 (DE-588)118988131 (DE-588)118571249 (DE-588)4037944-9 (DE-588)4049716-1 (DE-588)4070914-0 |
| title | Essays on Gödel's reception of Leibniz, Husserl, and Brouwer |
| title_auth | Essays on Gödel's reception of Leibniz, Husserl, and Brouwer |
| title_exact_search | Essays on Gödel's reception of Leibniz, Husserl, and Brouwer |
| title_full | Essays on Gödel's reception of Leibniz, Husserl, and Brouwer Mark van Atten |
| title_fullStr | Essays on Gödel's reception of Leibniz, Husserl, and Brouwer Mark van Atten |
| title_full_unstemmed | Essays on Gödel's reception of Leibniz, Husserl, and Brouwer Mark van Atten |
| title_short | Essays on Gödel's reception of Leibniz, Husserl, and Brouwer |
| title_sort | essays on godel s reception of leibniz husserl and brouwer |
| topic | Gödel, Kurt 1906-1978 (DE-588)11869569X gnd Husserl, Edmund 1859-1938 (DE-588)118555006 gnd Brouwer, Luitzen E. J. 1881-1966 (DE-588)118988131 gnd Leibniz, Gottfried Wilhelm 1646-1716 (DE-588)118571249 gnd Mathematik (DE-588)4037944-9 gnd Rezeption (DE-588)4049716-1 gnd Erkenntnistheorie (DE-588)4070914-0 gnd |
| topic_facet | Gödel, Kurt 1906-1978 Husserl, Edmund 1859-1938 Brouwer, Luitzen E. J. 1881-1966 Leibniz, Gottfried Wilhelm 1646-1716 Mathematik Rezeption Erkenntnistheorie |
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