Kurt Gödel: philosophical explorations ; history and theory
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Roma
Aracne
2012
|
| Edition: | 1. ed. |
| Series: | Filosofia della scienza
3 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | 142 S. |
| ISBN: | 9788854845060 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Table
of
Contents
11
Preface by
Arcangelo
Rossi
15
Introduction
19
Chapter I
The Frege-Hilbert Controversy
1.1.
Kant s views on mathematics,
19 - 1.2.
The new axiomatic method,
23
- 1.3.
Frege s objections,
25 - 1.4.
Independence of axioms,
36 - 1.5.
Ex¬
plicit definitions, implicit definitions, and structural definitions
37 - 1.6.
The
universalist
tradition and the model-theoretical tradition,
39
43
Chapter
И
Godei,
Completeness,
Intuiţionism
2.1.
Antinomies,
43 - 2.2.
Completeness and ontology,
45 - 2.3.
Intuition-
ism,
50 - 2.4.
Godei
s
early works on
Intuiţionism,
56
61
Chapter III
Constructivism and
Godei
3.1.
Modal translation,
61 - 3.2.
Zilsel lecture,
64 3.3.
In what sense is
intuitionistic logic constructive?,
66 - 3.4.
The problem of impredicativity,
68 - 3.5.
Dialectica
interpretation,
70
10
Table
of
Contents
83
Chapter IV
Mind, Intuition and
Godei
4.1. Gödel s
disjunctive claim,
83 - 4.2. Gödel s
mind,
86 - 4.3.
Mathe¬
matical intuition and phenomenology,
90
99
Chapter V
A World in Time
5.1.
Rotating worlds,
99 - 5.2.
Godei,
Kant and the concept of time,
105 -
5.3.
Ideality of time,
110 - 5.4.
Possible worlds. Ontology and cognition,
112 - 5.5.
Concluding remarks,
116
119
Conclusion
121
Acknowledgements
123
References
FILOSOFIA
DELLA SCIENZA
/
З
agliagamhe
Kurt
Godei. Philosophical
Explorations
The present book is intended to provide a philosophical and histori¬
cal analysis of
Gödel s
scientific results, particularly those connect¬
ed with the
constructivist
point of view in the foundations of mathematics
as well as with the nature of both human cognition and the concept of
time. These issues are less-known than the incompleteness theorems but
they can help us to interpret
Gödel s
thought from different and inno¬
vative perspectives.
Daniele Chiffi
is postdoctoral fellow at the Uni¬
versity of
Padova. He
studied Philosophy at
the University of
Lecce
and Logic at the Institute
for Logic, Language and Computation
(ПХС),
Uni¬
versity of Amsterdam). He received his PhD from
the University of
Bari.
His research interests are
history and philosophy of logic, philosophy of sci¬
ence and philosophy of language.
Cover
Gödel s
Reflections.
Graphics processing by
Alessandro Grecucci.
ISBN
978-88-548-4506-0
euro
10,00
|
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| dewey-hundreds | 100 - Philosophy & psychology |
| dewey-ones | 160 - Philosophical logic |
| dewey-raw | 160 |
| dewey-search | 160 |
| dewey-sort | 3160 |
| dewey-tens | 160 - Philosophical logic |
| discipline | Mathematik Philosophie |
| edition | 1. ed. |
| format | Book |
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| id | DE-604.BV040413361 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:23:31Z |
| institution | BVB |
| isbn | 9788854845060 |
| language | English |
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| physical | 142 S. |
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| series | Filosofia della scienza |
| series2 | Filosofia della scienza |
| spelling | Chiffi, Daniele 1979- Verfasser (DE-588)132375346 aut Kurt Gödel philosophical explorations ; history and theory Daniele Chiffi ; pref. by Arcangelo Rossi 1. ed. Roma Aracne 2012 142 S. txt rdacontent n rdamedia nc rdacarrier Filosofia della scienza 3 Gödel, Kurt 1906-1978 (DE-588)11869569X gnd rswk-swf Logik (DE-588)4036202-4 gnd rswk-swf Gödel, Kurt 1906-1978 (DE-588)11869569X p Logik (DE-588)4036202-4 s DE-604 Filosofia della scienza 3 (DE-604)BV040243763 3 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025266275&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025266275&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Chiffi, Daniele 1979- Kurt Gödel philosophical explorations ; history and theory Filosofia della scienza Gödel, Kurt 1906-1978 (DE-588)11869569X gnd Logik (DE-588)4036202-4 gnd |
| subject_GND | (DE-588)11869569X (DE-588)4036202-4 |
| title | Kurt Gödel philosophical explorations ; history and theory |
| title_auth | Kurt Gödel philosophical explorations ; history and theory |
| title_exact_search | Kurt Gödel philosophical explorations ; history and theory |
| title_full | Kurt Gödel philosophical explorations ; history and theory Daniele Chiffi ; pref. by Arcangelo Rossi |
| title_fullStr | Kurt Gödel philosophical explorations ; history and theory Daniele Chiffi ; pref. by Arcangelo Rossi |
| title_full_unstemmed | Kurt Gödel philosophical explorations ; history and theory Daniele Chiffi ; pref. by Arcangelo Rossi |
| title_short | Kurt Gödel |
| title_sort | kurt godel philosophical explorations history and theory |
| title_sub | philosophical explorations ; history and theory |
| topic | Gödel, Kurt 1906-1978 (DE-588)11869569X gnd Logik (DE-588)4036202-4 gnd |
| topic_facet | Gödel, Kurt 1906-1978 Logik |
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