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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Journal ArticleDOI
Can contradictions be asserted
TL;DR: In a universal logic containing naive semantics the semantic antinomies will be provable as discussed by the authors, although being provable they are not assertible because of some pragmatic constraints on assertion.
Dialetheismus, semantische Geschlossenheit und Konditionale
TL;DR: In this paper, the authors show that Graham Priests Logik LP, die paradigmatische dialetheistische logik, nicht durch den diskutierten Einwand gefahrdet ist.
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