Symmetry and Paradox

History and Philosophy of Logic 27 (4):307-318 (2006)
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Abstract

The ?no???no? paradox (so-called by Sorensen) consists of a pair of propositions each of which says of the other that it is false. It is not immediately paradoxical, since it has a solution in which one proposition is true, the other false. However, that is itself paradoxical, since there is no clear ground for determining which is which. The two propositions should have the same truth-value. The paper shows how a proposal by the medieval thinker Thomas Bradwardine solves not only the Liar paradox, but also symmetric paradoxes like the ?no???no?, the descending ?no???no?, and the Truth-teller paradoxes

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Stephen Read
University of St. Andrews

References found in this work

The logical syntax of language.Rudolf Carnap - 1937 - London,: K. Paul, Trench, Trubner & co.. Edited by Amethe Smeaton.
Objects of thought.Arthur Norman Prior - 1971 - Oxford,: Clarendon Press. Edited by P. T. Geach & Anthony Kenny.
The Logical Syntax of Language.Rudolf Carnap - 1937 - London: Routledge. Edited by Amethe Smeaton.
Paradox without Self-Reference.Stephen Yablo - 1993 - Analysis 53 (4):251-252.
Vagueness and contradiction.Roy A. Sorensen - 2001 - New York: Oxford University Press.

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