Phenomenology, logic and the philosophy of mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge University Press
2009
|
| Ausgabe: | [Nachdr.] |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | X, 357 S. |
| ISBN: | 9780521119986 |
Internformat
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| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Philosophie | |
| 650 | 4 | |a Mathematics |x Philosophy | |
| 650 | 4 | |a Phenomenology | |
| 650 | 4 | |a Logic, Symbolic and mathematical | |
| 650 | 4 | |a Constructive mathematics | |
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Datensatz im Suchindex
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Contents
Acknowledgments
Introduction: Themes and Issues
1
PART I. REASON, SCIENCE, AND MATHEMATICS
1 Science as a Triumph of the Human Spirit and Science in
Crisis:
Husserl
and the Fortunes of Reason
21
2
Mathematics and Transcendental Phenomenology
46
3
Free Variation and the Intuition of Geometric Essences:
Some Reflections on Phenomenology and Modern
Geometry
69
PART II, KURT
GÕDEL,
PHENOMENOLOGY, AND THE
PHILOSOPHY OF MATHEMATICS
4
Kurt
Godei
and Phenomenology
93
5 Gödel's
Philosophical Remarks on Logic and Mathematics
112
G
Gödel's
Path from the Incompleteness Theorems
(1931)
to Phenomenology
( 1961 ) 125
7
Godei
and the Intuition of Concepts
149
8
Godei
and
Quine
on Meaning and Mathematics
177
9
Macldy on Realism in Mathematics
201
10
Penrose on Minds and Machines
215
vi
Contents
PART III. CONSTRUCTIVISM, FULFILLABLE INTENTIONS,
AND ORIGINS
11
Intuiţionism,
Meaning Theory, and Cognition
227
12
The Philosophical Background of Weyl's Mathematical
Constructivism
248
13
Proofs and Fulfillable Mathematical Intentions
276
14
Logicism, Impredicativity, Formalism: Some Remarks on
Poincaré
and
Husserl
294
15
The Philosophy of Arithmetic:
Frege
and
Husserl
314
Bibliography
337
Index
349
This book is a collection, of fifteen essays that deal with issues at the
intersection of phenomenology, logic, and the philosophy of
'mathematics. The book is divided
iato
three pairs. Part I, "Reason,
Science, and Mathematics,7* contains a general essay on
H
usseri
's
conception of science and lope, an essay of* mathematics and
transcendental phenomenology, and an essay of phenomenology and
.modem pure geometry. Part II is focused on
Karr
Godeľs
interest in
phenomenology.
ït exploits
Godet's ideas and also some work of
Quine,
Penelope Maddy and Roger Penrose. Part III deals with
elementary, constructive areas of mathematics. These are areas of
mathematics that are closer to
tbdr orinas
in simple cognitive
activities and in everyday experience. This part of the book contains
essays on
intuiţionism,
Hermann Weyi, me notion of constructive
proof, Poincaveand
Frege. |
| any_adam_object | 1 |
| author | Tieszen, Richard L. 1951-2017 |
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| classification_rvk | CC 2600 SK 130 |
| ctrlnum | (OCoLC)706990452 (DE-599)BVBBV037188818 |
| discipline | Mathematik Philosophie |
| edition | [Nachdr.] |
| format | Book |
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| isbn | 9780521119986 |
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| spelling | Tieszen, Richard L. 1951-2017 Verfasser (DE-588)1013625196 aut Phenomenology, logic and the philosophy of mathematics Richard Tieszen [Nachdr.] Cambridge [u.a.] Cambridge University Press 2009 X, 357 S. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Gödel, Kurt 1906-1978 (DE-588)11869569X gnd rswk-swf Mathematik Philosophie Mathematics Philosophy Phenomenology Logic, Symbolic and mathematical Constructive mathematics Intuitionistic mathematics Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Phänomenologie (DE-588)4045660-2 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Mathematik (DE-588)4037944-9 s Philosophie (DE-588)4045791-6 s Phänomenologie (DE-588)4045660-2 s Mathematische Logik (DE-588)4037951-6 s DE-604 Gödel, Kurt 1906-1978 (DE-588)11869569X p Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021103278&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021103278&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Tieszen, Richard L. 1951-2017 Phenomenology, logic and the philosophy of mathematics Gödel, Kurt 1906-1978 (DE-588)11869569X gnd Mathematik Philosophie Mathematics Philosophy Phenomenology Logic, Symbolic and mathematical Constructive mathematics Intuitionistic mathematics Mathematische Logik (DE-588)4037951-6 gnd Phänomenologie (DE-588)4045660-2 gnd Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
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| title | Phenomenology, logic and the philosophy of mathematics |
| title_auth | Phenomenology, logic and the philosophy of mathematics |
| title_exact_search | Phenomenology, logic and the philosophy of mathematics |
| title_full | Phenomenology, logic and the philosophy of mathematics Richard Tieszen |
| title_fullStr | Phenomenology, logic and the philosophy of mathematics Richard Tieszen |
| title_full_unstemmed | Phenomenology, logic and the philosophy of mathematics Richard Tieszen |
| title_short | Phenomenology, logic and the philosophy of mathematics |
| title_sort | phenomenology logic and the philosophy of mathematics |
| topic | Gödel, Kurt 1906-1978 (DE-588)11869569X gnd Mathematik Philosophie Mathematics Philosophy Phenomenology Logic, Symbolic and mathematical Constructive mathematics Intuitionistic mathematics Mathematische Logik (DE-588)4037951-6 gnd Phänomenologie (DE-588)4045660-2 gnd Philosophie (DE-588)4045791-6 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Gödel, Kurt 1906-1978 Mathematik Philosophie Mathematics Philosophy Phenomenology Logic, Symbolic and mathematical Constructive mathematics Intuitionistic mathematics Mathematische Logik Phänomenologie Aufsatzsammlung |
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