What the liar taught achilles

Gary Mar; Paul St. Denis

doi:10.1023/A:1004399631475

What the liar taught achilles

Gary Mar
, Paul St. Denis

Philosophy

Stony Brook University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	29-46
Number of pages	18
Journal	Journal of Philosophical Logic
Volume	28
Issue number	1
DOIs	https://doi.org/10.1023/A:1004399631475
State	Published - 1999

Keywords

Chaos
Dynamical systems
Fractal
Infinite regress
Lewis carroll
Liar paradox
Lukasiewicz
Semantic paradox
Sierpinski
Tarski
Zeno's paradox

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KW - Dynamical systems

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KW - Infinite regress

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KW - Semantic paradox

KW - Sierpinski

KW - Tarski

KW - Zeno's paradox

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What the liar taught achilles

Abstract

Keywords

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