Tolerance and Mixed Consequence in the S'valuationist Setting

被引:13
|
作者
Cobreros, P. [1 ]
Egre, P. [2 ]
Ripley, D. [3 ]
van Rooij, R. [4 ]
机构
[1] Univ Navarra, Dept Philosophy, E-31080 Pamplona, Spain
[2] Inst Jean Nicod CNRS EHESS ENS, Dept Etud Cognit ENS, F-75005 Paris, France
[3] Univ Melbourne, Dept Philosophy Old Quad, Melbourne, Vic 3010, Australia
[4] Univ Amsterdam, Inst Log Language & Computat, NL-1090 GE Amsterdam, Netherlands
基金
欧洲研究理事会;
关键词
Vagueness; Tolerance; Logical Consequence; Super- and Sub-valuationism;
D O I
10.1007/s11225-012-9422-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In a previous paper (see 'Tolerant, Classical, Strict', henceforth TCS) we investigated a semantic framework to deal with the idea that vague predicates are tolerant, namely that small changes do not affect the applicability of a vague predicate even if large changes do. Our approach there rests on two main ideas. First, given a classical extension of a predicate, we can define a strict and a tolerant extension depending on an indifference relation associated to that predicate. Second, we can use these notions of satisfaction to define mixed consequence relations that capture non-transitive tolerant reasoning. Although we gave some empirical motivation for the use of strict and tolerant extensions, making use of them commits us to the view that sentences of the form 'p boolean OR (sic)p' and 'p boolean AND (sic)p' are not automatically valid or unsatisfiable, respectively. Some philosophers might take this commitment as a negative outcome of our previous proposal. We think, however, that the general ideas underlying our previous approach to vagueness can be implemented in a variety of ways. This paper explores the possibility of defining mixed notions of consequence in the more classical super/sub-valuationist setting and examines to what extent any of these notions captures non-transitive tolerant reasoning.
引用
收藏
页码:855 / 877
页数:23
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