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Two paradoxes of semantic information
Synthese, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Revenge-Immune Solution to the Semantic Paradoxes
Journal of Philosophical Logic, 2003This paper proposes an extension of (the strong Kleene version of) \textit{S. Kripke}'s theory of truth [``Outline of a theory of truth'', J. Philos. 72, 690-716 (1975; Zbl 0952.03513)] to include a conditional \(\to\) such that both \(A\leftrightarrow A\) and \(\text{True}(\langle A\rangle)\leftrightarrow A\) are theorems. The resulting logic LCC (for
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1987
AbstractThis chapter defends the view that the semantic paradoxes are bona fide sound arguments. It states a set of conditions sufficient for contradiction and then defends the view that natural language satisfies these conditions (or if not these, then others which have the same effect).
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AbstractThis chapter defends the view that the semantic paradoxes are bona fide sound arguments. It states a set of conditions sufficient for contradiction and then defends the view that natural language satisfies these conditions (or if not these, then others which have the same effect).
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One Hundred Years of Semantic Paradox
Journal of Philosophical Logic, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2018
Approved: ________________________________________________ Thesis Supervisor ________________________________________________ Title and Department ________________________________________________ Date SEMANTIC OBJECTS AND PARADOX: A STUDY OF YABLO’S OMEGA-LIAR by Benjamin John Hassman A thesis submitted in partial fulfillment of the requirements for ...
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Approved: ________________________________________________ Thesis Supervisor ________________________________________________ Title and Department ________________________________________________ Date SEMANTIC OBJECTS AND PARADOX: A STUDY OF YABLO’S OMEGA-LIAR by Benjamin John Hassman A thesis submitted in partial fulfillment of the requirements for ...
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Undecidable sentences generated by semantic paradoxes
Journal of Symbolic Logic, 1955In applying the method of arithmetization to a proof of the completeness of the predicate calculus, Bernays has obtained a result which, when applied to set theories formulated in the predicate calculus, may be stated thus.1.1. By adding an arithmetic sentence Con(S) (expressing the consistency of a set theory S) as a new axiom to the elementary number
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Paradoxes in a Semantic Perspective
1979Let us take Russell’s set of all sets that do not contain themselves as a paradigm of paradox. We assume that there is such a set, and if so, it has to be either a member of itself or not. But, as we know, either way leads to a contradiction. However, this is not the paradox.
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Semantic Paradoxes and Abductive Methodology
2017This chapter provides a methodological case for maintaining classical logic even in the face of the semantic paradoxes. It advocates an abductive methodology for choosing, or adjudicating, logics (or, more specifically, logical theories), and notes that the semantic paradoxes constitute promising grounds for an abductive critique of classical logic. As
Timothy Williamson, Bradley Armour-Garb
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Semantics and the Liar Paradox
1989The semantical paradoxes are not a scientific subject like Inductive Definitions, Algebraic Geometry or Plasma Physics. At least not yet. On the other hand the paradoxes exert a strong fascination and many a philosopher or logician has spent some thought on them, mostly in relative isolation.
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