Journal ArticleDOI
The logic of paradox
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A new way of handling the logical paradoxes is suggested, where instead of trying to dissolve them, or explain what has gone wrong, the authors should accept them and learn to come to live with them.Abstract:
The purpose of the present paper is to suggest a new way of handling the logical paradoxes. Instead of trying to dissolve them, or explain what has gone wrong, we should accept them and learn to come to live with them. This is argued in Sections I and II. For obvious reasons this will require the abandonment, or at least modification, of 'classical' logic. A way to do this is suggested in Section III. Sections IV and V discuss some implications of this approach to paradoxes.read more
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Contradiction, Quantum Mechanics, and the Square of Opposition
TL;DR: In this paper, the authors discuss the idea that superpositions in quantum mechanics may involve contradictions or contradictory properties, and suggest that it is difficult to make sense of the idea of contradiction in the case of quantum superposition.
Journal ArticleDOI
Pragmatic Interpretations of Vague Expressions: Strongest Meaning and Nonmonotonic Consequence
TL;DR: This paper provides an explicit global pragmatic interpretation rule, based on a somewhat richer semantics, and shows that with its help the problem can be overcome in pragmatics after all.
Journal ArticleDOI
Vagueness and Imprecision: Empirical Foundations
TL;DR: A review of recent empirical insights into vagueness that have come out of the field of linguistic semantics, as well as the theoretical developments that these have prompted, can be found in this article.
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An Algebraic View of Super-Belnap Logics
TL;DR: This work adopts the point of view of Abstract Algebraic Logic, exploring applications of the general theory of algebraization of logics to the super-Belnap family and establishes a number of new results.
Journal ArticleDOI
Validity for strong pluralists
References
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Book ChapterDOI
The Semantic Conception of Truth and the Foundations of Semantics
TL;DR: In this article, the notion of material adequacy of a definition of truth is defined as follows: if all these equivalences follow from it, then the definition is true if, and only if, p.X is true.
Journal ArticleDOI
The Semantic Conception of Truth: and the Foundations of Semantics
TL;DR: In this article, the notion of material adequacy of a definition of truth is defined as follows: if all these equivalences follow from it, then the definition is true if, and only if, p.X is true.
Book
Grundlagen der Mathematik
David Hilbert,Paul Bernays +1 more
TL;DR: In this article, a vorliegende Buch soll einer eingehenden Orientierung uber den gegenwartigen Stoff der HILBERTschen Beweistheorie dienen.
Journal ArticleDOI