What the liar taught Achilles

Journal of Philosophical Logic 28 (1):29-46 (1999)
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Abstract

Zeno's paradoxes of motion and the semantic paradoxes of the Liar have long been thought to have metaphorical affinities. There are, in fact, isomorphisms between variations of Zeno's paradoxes and variations of the Liar paradox in infinite-valued logic. Representing these paradoxes in dynamical systems theory reveals fractal images and provides other geometric ways of visualizing and conceptualizing the paradoxes

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Gary Mar
State University of New York, Stony Brook

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References found in this work

Introduction to mathematical logic..Alonzo Church - 1944 - Princeton,: Princeton university press: London, H. Milford, Oxford university press. Edited by C. Truesdell.
The Liar: An Essay on Truth and Circularity.Jon Barwise & John Etchemendy - 1987 - Oxford, England and New York, NY, USA: Oxford University Press USA. Edited by John Etchemendy.
Recent essays on truth and the liar paradox.Robert Lazarus Martin (ed.) - 1984 - New York: Oxford University Press.
Introduction to mathematical logic.Alonso Church - 1958 - Revue de Métaphysique et de Morale 63 (1):118-118.

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