Universality and the Liar: an essay on truth and the diagonal argument
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge u.a.
Cambridge Univ. Press
2008
|
| Edition: | [Nachdr.] |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XII, 229 S. Ill. |
| ISBN: | 9780521061391 9780521430692 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804143774333403137 |
|---|---|
| adam_text | Contents
Preface
page
ix
Chapter
1
The Liar paradox
1
1.1
Some versions of the Liar
2
1.2
Proposals
7
1.3
Universality and semantic universality
13
1.4
Diagonalization
16
Chapter
2
The diagonal argument
20
2.
1
Cantor s use of the diagonal argument
20
2.2
General analysis of the diagonal argument
22
2.3
Good and bad diagonal arguments
27
Appendix Extensions of the diagonal theorem
37
Chapter
3
The diagonal argument and the Liar, I
45
3.1
A problem for truth gap theories
46
3.2
Kripke s theory of truth
47
3.3
Fuzzy logic
55
3.4
A thesis of expressive incompleteness
58
Chapter
4
The diagonal argument and the Liar,
H
62
4.1
Herzberger and Gupta and stable truth
62
4.2
Feferman: A type-free theory of partial predicates
70
4.3
McGee and definite troth
72
4.4
Inconsistency views
78
Chapter
5
A medieval solution to the Liar
83
5.1
An outline of the Ockham-Burley-Pseudo-Sherwood
solution
84
5.2
An interpretation of the Ockham-Buriey-
Pseudo-Sherwood solution
86
vii
Contents
5.3
Comparisons and contrasts with some modern
approaches
94
Chapter
6
A singularity solution to the Liar
99
6.1
An informal presentation of the singularity solution
100
6.2
A glimpse of the formal account
112
6.3
A suggestion of
Gödel s 116
Chapter
7
A formal account of singularities
118
7.1
Pragmatic and semantic aspects
118
7.2
The reflective hierarchy and singularities
121
7.3
English and the reflective hierarchy
139
Chapter
8
Applications and further singularities
142
8.1
Applications of the formal account
142
8.2
Further singularities
153
Chapter
9
Semantic universality
159
9.1
Groundedness (and singularity in one sense)
159
9.2
Truth in a context (and singularity in a second sense)
163
9.3
The object language and the language of the theory
174
9.4
Universality
181
Notes
183
Bibliography
217
Index
225
VIH
Paperback
Re-issue
This book is about one of the most baffling of all paradoxes
-
the famous
Liar paradox. This paradox is more than an intriguing puzzle, since it
turns on our fundamental concepts of truth and falsity. By investigating
the liar, we can hope to deepen our understanding of our basic semantic
concepts.
Keith Simmons develops an account of truth, and a novel
singularity solution to the Liar. Most contemporary approaches to the
Liar either reject classical semantics or adopt a hierarchical view of truth.
In contrast, Simmons s approach is antihierarchical and does not
abandon classical semantics,
lhe
singularity approach yields a positive
resolution ot the seemingly intractable problem of semantic universality:
Simmons concludes that no semantic concept is
bevond
the reach of our
language.
The book also provides a formal analysis of the method oi
diagonalization, which lies at the heart of the Liar and the problem of
universality. This analysis is utilized in a critical discussion of a wide
variety of attempts to solve the Liar. Medieval resolutions are also
discussed
-
and one is found to contain the seeds of the singularity
proposal.
The book will appeal to logicians and philosophers, as well as linguists
and historians of medieval philosophy.
Paperback
Re-issue
This book is about one
oř
the most baffling of all paradoxes
-
the famous
Liar paradox. This paradox is more than an intriguing puzzle, since it
turns on our fundamental concepts of truth and falsity. By investigating
the Liar, we can hope to deepen our understanding of our basic semantic
concepts.
Keith Simmons develops an account of truth, and a novel
singularity solution to the Liar, Most contemporary approaches to the
Liar either reject classical semantics or adopt a hierarchical view of truth.
in contrast, Simmons
s
approach is antihierarchical and does not
abandon classical semantics. The singularity approach yields a positive
resolution of the seemingly intractable problem of semantic universality:
Simmons concludes that no semantic concept is beyond the reach of our
language.
The book also provides a formal analysis of the method of
diagonaiization, which lies at the heart
Ы
the Liar and the problem of
universality.
This analysis is utilized in a critical discussion of a wide
variety of attempts to solve the Liar. Medieval resolutions are also
discussed
-
and one is found to contain the seeds of the singularity
pmposal.
The book wifl appeal to logician!? and philosophers, as well as linguists
and historians of
medieval
philosophy.
|
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| discipline | Philosophie / Ethik Philosophie |
| edition | [Nachdr.] |
| format | Book |
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| id | DE-604.BV037188794 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:53:00Z |
| institution | BVB |
| isbn | 9780521061391 9780521430692 |
| language | English |
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| physical | XII, 229 S. Ill. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Cambridge Univ. Press |
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| spelling | Simmons, Keith Verfasser aut Universality and the Liar an essay on truth and the diagonal argument Keith Simmons [Nachdr.] Cambridge u.a. Cambridge Univ. Press 2008 XII, 229 S. Ill. txt rdacontent n rdamedia nc rdacarrier Lügner-Paradoxie (DE-588)4296528-7 gnd rswk-swf Lügner-Paradoxie (DE-588)4296528-7 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021103254&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=021103254&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Simmons, Keith Universality and the Liar an essay on truth and the diagonal argument Lügner-Paradoxie (DE-588)4296528-7 gnd |
| subject_GND | (DE-588)4296528-7 |
| title | Universality and the Liar an essay on truth and the diagonal argument |
| title_auth | Universality and the Liar an essay on truth and the diagonal argument |
| title_exact_search | Universality and the Liar an essay on truth and the diagonal argument |
| title_full | Universality and the Liar an essay on truth and the diagonal argument Keith Simmons |
| title_fullStr | Universality and the Liar an essay on truth and the diagonal argument Keith Simmons |
| title_full_unstemmed | Universality and the Liar an essay on truth and the diagonal argument Keith Simmons |
| title_short | Universality and the Liar |
| title_sort | universality and the liar an essay on truth and the diagonal argument |
| title_sub | an essay on truth and the diagonal argument |
| topic | Lügner-Paradoxie (DE-588)4296528-7 gnd |
| topic_facet | Lügner-Paradoxie |
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