Studia Logica 100 (4):855-877 (2012)
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∨¬p ’ and ‘ p∧¬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.
|Keywords||Logical Consequence Vagueness Tolerance Super- and Sub-valuationism|
|Categories||categorize this paper)|
References found in this work BETA
Reciprocal Expressions and the Concept of Reciprocity.Mary Dalrymple, Makoto Kanazawa, Yookyung Kim, Sam McHombo & Stanley Peters - 1998 - Linguistics and Philosophy 21 (2):159-210.
Citations of this work BETA
Pragmatic Interpretations of Vague Expressions: Strongest Meaning and Nonmonotonic Consequence.Pablo Cobreros, Paul Egré, Dave Ripley & Robert van Rooij - 2015 - Journal of Philosophical Logic 44 (4):375-393.
Vagueness: Why Do We Believe in Tolerance?Paul Égré - forthcoming - Journal of Philosophical Logic:1-17.
Identity, Leibniz's Law and Non-Transitive Reasoning.Pablo Cobreros, Paul Egré, David Ripley & Robert van Rooij - 2013 - Metaphysica 14 (2):253-264.
The Logics of Strict-Tolerant Logic.Eduardo Barrio, Lucas Rosenblatt & Diego Tajer - 2015 - Journal of Philosophical Logic 44 (5):551-571.
Foreword: Three-Valued Logics and Their Applications.Pablo Cobreros, Paul Égré, David Ripley & Robert van Rooij - 2014 - Journal of Applied Non-Classical Logics 24 (1-2):1-11.
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