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
Citations
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Logiques psychanalytiques polyvalentes. À propos de l’article « La logique compréhensive à l’épreuve des faits (et réciproquement) » de M. Arminjon
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PAC-Reasoning in Relational Domains
TL;DR: In this article, the problem of predicting plausible missing facts in relational data, given a set of imperfect logical rules, is considered, and bounds on the expected number of incorrect inferences that are made in this way are provided.
Book ChapterDOI
Logical Foundations of Evidential Reasoning with Contradictory Information
TL;DR: Two levels of epistemic logics are employed to provide logical foundations for evidential reasoning with this kind of information, including the well-known Belnap–Dunn four-valued logic and epistemic logic S5.
Journal ArticleDOI
A remark on functional completeness of binary expansions of Kleene’s strong 3-valued logic
Gemma Robles,José M. Méndez +1 more
TL;DR: In this paper, the authors prove a general theorem for defining binary expansions of Kleene's strong logic that are functionally complete for the 3-element set of truth-values THREE.
Journal ArticleDOI
Restricted Rules of Inference and Paraconsistency
TL;DR: In this article, the authors studied the left variable inclusion companion of Intuitionistic Propositional Logic (IPC) and the restricted rules companion of Pre-Rough Logic (PRL).
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.
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