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El. knyga: Logical Pluralism

3.62/5 (38 ratings by Goodreads)
(University of Melbourne), (University of Connecticut)
  • Formatas: PDF+DRM
  • Išleidimo metai: 24-Nov-2005
  • Leidėjas: Oxford University Press
  • Kalba: eng
  • ISBN-13: 9780191537141
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  • Formatas: PDF+DRM
  • Išleidimo metai: 24-Nov-2005
  • Leidėjas: Oxford University Press
  • Kalba: eng
  • ISBN-13: 9780191537141
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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 Beall 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.

Recenzijos

Beall and Restall have produced a highly readable monograph whose important topic, clarity, directness of argument...first-rate discussion commends it to philsosophers' attention. * Alexander Paseau, Mind Journal * Logical Pluralism presents a challenge to the proponents of alternative logic, and even to classical logicians who find alternative logics interestingly mistaken. In a short book, the authors not only raise deep issues, they also provide neat thumbnail sketches of a range of logics...theirs is a challenge that must be met, and meeting it adequately is not easy. Every logician should read this book. * Stephen Read, Notre Dame Philosophical Reviews *

I PRELIMINARIES 1(32)
1 INTRODUCTION
3(4)
2 LOGICAL CONSEQUENCE
7(18)
2.1 Propositions
8(4)
2.2 Arguments
12(2)
2.3 Necessity
14(2)
2.4 Normativity
16(2)
2.5 Formality
18(5)
2.6 Cases
23(2)
3 PLURALISM DEFINED
25(8)
3.1 What Kind of Claim is Logical Pluralism)
25(4)
3.2 Logical Pluralism in a Nutshell
29(1)
3.3 The Case for Logical Pluralism
30(1)
3.4 What Lies Ahead?
31(2)
II LOGICS 33(52)
4 CLASSICAL LOGIC
35(14)
4.1 Specification of Cases
36(4)
4.2 Admissibility
40(4)
4.3 Emergence of Plurality
44(1)
4.4 Applications
44(4)
4.5 Summary
48(1)
5 RELEVANT LOGIC
49(12)
5.1 Specification of Cases
49(4)
5.2 Relevant Consequence
53(1)
5.3 Admissibility
53(2)
5.4 Pluralism
55(1)
5.5 Applications
56(2)
5.6 Summary
58(3)
6 CONSTRUCTIVE LOGIC
61(14)
6.1 Cases as Stages
62(6)
6.2 Admissibility
68(3)
6.3 Applications
71(4)
7 VARIATIONS & LOOSE ENDS
75(10)
7.1 Free Logics
75(2)
7.2 Second- and Higher-Order Logics
77(1)
7.3 Languages and Logics
78(1)
7.4 Loose Ends
79(6)
III OBJECTIONS, REPLIES, OTHER DIRECTIONS 85(52)
8 GENERAL OBJECTIONS
87(20)
9 SPECIFIC OBJECTIONS
107(16)
10 OTHER DIRECTIONS
123(14)
10.1 Recognising Plurality
123(2)
10.2 Exploiting Plurality
125(2)
10.3 Plurality and Proofs
127(10)
INDEX 137