What the liar taught Achilles

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

Authors
Gary Mar
State University of New York, Stony Brook
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
Keywords Zeno's paradox  Liar paradox  semantic paradox  dynamical systems  chaos  fractal  infinite regress  Lewis Carroll  Lukasiewicz  Sierpinski  Tarski
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Reprint years 2004
DOI 10.1023/A:1004399631475
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References found in this work BETA

Recent Essays on Truth and the Liar Paradox.Robert L. Martin (ed.) - 1984 - Oxford University Press.
Truth and Paradox.Anil Gupta - 1982 - Journal of Philosophical Logic 11 (1):1-60.
Introduction to Mathematical Logic.ALONZO CHURCH - 1944 - London: Oxford University PRess.
Notes on Naive Semantics.Hans G. Herzberger - 1982 - Journal of Philosophical Logic 11 (1):61 - 102.

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