Logical pluralism:
"In this book J. C. Beall and Greg Restall present and defend what they call logical pluralism, arguing that the notion of logical consequence doesn't pin down one deductive consequence relation; it allows for many of them. In particular, they argue that broadly classical, intuitionistic,...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Clarendon Press
2006
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Zusammenfassung: | "In this book J. C. Beall and Greg Restall present and defend what they call logical pluralism, arguing that the notion of logical consequence doesn't pin down one deductive consequence relation; it allows for many of them. In particular, they argue that broadly classical, intuitionistic, and relevant accounts of deductive logic are genuine logical consequence relations; we should not search for one true logic, since there are many. Their conclusions have profound implications for many linguists as well as for philosophers."--BOOK JACKET. |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | VIII, 143 S. |
| ISBN: | 9780199288403 9780199288410 0199288402 0199288410 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804134560010600448 |
|---|---|
| adam_text | Contents
1 Preliminaries
і
і
Introduction
3
2
Logical Consequence
7
2.1
Propositions
............................ 8
2.2
Arguments
............................. 12
2.3
Necessity
.............................. 14
2.4
Normativity
............................ 16
2.5
Formality
.............................. 18
2.6
Cases
................................ 23
3
Pluralism Defined
25
3.1
What Kind of Claim is Logical Pluralism?
........... 25
3.2
Logical Pluralism in a Nutshell
................. 29
3.3
The Case for Logical Pluralism
................. 30
3.4
What Lies Ahead?
........................ 31
II Logics
33
4
Classical Logic
35
4.1
Specification of Cases
...................... 36
4.2
Admissibility
............................ 40
4.3
Emergence of Plurality
...................... 44
4.4
Applications
............................ 44
4.5;
Summary
.............................. 48
5
Relevant Logic
49
5.1
Specification of Cases
...................... 49
5.2
Relevant Consequence
...................... 53
5.3
Admissibility
............................ 53
У-4
Pluralism
.............................. 55
5.5
Applications
........................... . 56
5.6
Summary
.............................. 58
vi
Contents
6
Constructive Logic 6i
6.1
Cases as Stages
.......................... 62
6.2
Admissibility
............................ 68
6.3
Applications
............................ 71
7
Variations
é
Loose Ends
75
7.1
Free Logics
............................. 75
7.2
Second- and Higher-Order Logics
............... 77
7.3
Languages and Logics
....................... 78
7.4
Loose Ends
............................ 79
III Objections, Replies, Other Directions
85
8
General Objections
87
9
Specific Objections
107
10
Other Directions
123
10.1 Recognising Plurality
....................... 123
10.2
Exploiting Plurality
........................125
10.3
Plurality and Proofs
........................ 127
Index
137
Consequence is at the heart of logic; an account of consequence,
of what follows from what, offers a vital tool in the evaluation of
arguments. Since philosophy itself proceeds by way of argument
and inference, a clear view of what logical consequence amounts
to is of central importance to the whole discipline.
In this book JC
Beali
and
Greg Restall
present and defend what
thay call logical pluralism, arguing that the notion of logical
consequence doesn t pin down one deductive consequence
relation; it allows for many of them. In particular, they argue
that broadly classical, intuitionistic, and relevant accounts of
deductive logic are genuine logical consequence relations;
we should not search for one true logic, since there are many.
Their conclusions have profound implications for many
linguists as well as for philosophers.
JC
Beali
is Associate Professor of Philosophy at the University
of Connecticut.
Greg Restall
is Associate Professor of Philosophy at the
University of Melbourne.
|
| adam_txt |
Contents
1 Preliminaries
і
і
Introduction
3
2
Logical Consequence
7
2.1
Propositions
. 8
2.2
Arguments
. 12
2.3
Necessity
. 14
2.4
Normativity
. 16
2.5
Formality
. 18
2.6
Cases
. 23
3
Pluralism Defined
25
3.1
What Kind of Claim is Logical Pluralism?
. 25
3.2
Logical Pluralism in a Nutshell
. 29
3.3
The Case for Logical Pluralism
. 30
3.4
What Lies Ahead?
. 31
II Logics
33
4
Classical Logic
35
4.1
Specification of Cases
. 36
4.2
Admissibility
. 40
4.3
Emergence of Plurality
. 44
4.4
Applications
. 44
4.5;
Summary
. 48
5
Relevant Logic
49
5.1
Specification of Cases
. 49
5.2
Relevant Consequence
. 53
5.3
Admissibility
. 53
У-4
Pluralism
. 55
5.5
Applications
. . 56
5.6
Summary
. 58
vi
Contents
6
Constructive Logic 6i
6.1
Cases as Stages
. 62
6.2
Admissibility
. 68
6.3
Applications
. 71
7
Variations
é"
Loose Ends
75
7.1
Free Logics
. 75
7.2
Second- and Higher-Order Logics
. 77
7.3
Languages and Logics
. 78
7.4
Loose Ends
. 79
III Objections, Replies, Other Directions
85
8
General Objections
87
9
Specific Objections
107
10
Other Directions
123
10.1 Recognising Plurality
. 123
10.2
Exploiting Plurality
.125
10.3
Plurality and Proofs
. 127
Index
137
Consequence is at the heart of logic; an account of consequence,
of what follows from what, offers a vital tool in the evaluation of
arguments. Since philosophy itself proceeds by way of argument
and inference, a clear view of what logical consequence amounts
to is of central importance to the whole discipline.
In this book JC
Beali
and
Greg Restall
present and defend what
thay call logical pluralism, arguing that the notion of logical
consequence doesn't pin down one deductive consequence
relation; it allows for many of them. In particular, they argue
that broadly classical, intuitionistic, and relevant accounts of
deductive logic are genuine logical consequence relations;
we should not search for one true logic, since there are many.
Their conclusions have profound implications for many
linguists as well as for philosophers.
JC
Beali
is Associate Professor of Philosophy at the University
of Connecticut.
Greg Restall
is Associate Professor of Philosophy at the
University of Melbourne. |
| any_adam_object | 1 |
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| spelling | Beall, Jeffrey C. 1966- Verfasser (DE-588)132974606 aut Logical pluralism J. C. Beall and Greg Restall 1. publ. Oxford [u.a.] Clarendon Press 2006 VIII, 143 S. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke "In this book J. C. Beall and Greg Restall present and defend what they call logical pluralism, arguing that the notion of logical consequence doesn't pin down one deductive consequence relation; it allows for many of them. In particular, they argue that broadly classical, intuitionistic, and relevant accounts of deductive logic are genuine logical consequence relations; we should not search for one true logic, since there are many. Their conclusions have profound implications for many linguists as well as for philosophers."--BOOK JACKET. Causalité Gevolgtrekkingen (logica) gtt Logica gtt Logique Pluralisme (algemeen) gtt Logik Causation Logic Logik (DE-588)4036202-4 gnd rswk-swf Logik (DE-588)4036202-4 s DE-604 Restall, Greg Verfasser aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014169894&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=014169894&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Beall, Jeffrey C. 1966- Restall, Greg Logical pluralism Causalité Gevolgtrekkingen (logica) gtt Logica gtt Logique Pluralisme (algemeen) gtt Logik Causation Logic Logik (DE-588)4036202-4 gnd |
| subject_GND | (DE-588)4036202-4 |
| title | Logical pluralism |
| title_auth | Logical pluralism |
| title_exact_search | Logical pluralism |
| title_exact_search_txtP | Logical pluralism |
| title_full | Logical pluralism J. C. Beall and Greg Restall |
| title_fullStr | Logical pluralism J. C. Beall and Greg Restall |
| title_full_unstemmed | Logical pluralism J. C. Beall and Greg Restall |
| title_short | Logical pluralism |
| title_sort | logical pluralism |
| topic | Causalité Gevolgtrekkingen (logica) gtt Logica gtt Logique Pluralisme (algemeen) gtt Logik Causation Logic Logik (DE-588)4036202-4 gnd |
| topic_facet | Causalité Gevolgtrekkingen (logica) Logica Logique Pluralisme (algemeen) Logik Causation Logic |
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