What the liar taught Achilles

Journal of Philosophical Logic 28 (1):29-46 (1999)
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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DOI 10.1023/A:1004399631475
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References found in this work BETA
Alonzo Church (1944). Introduction to Mathematical Logic. London, H. Milford, Oxford University Press.
Anil Gupta (1982). Truth and Paradox. Journal of Philosophical Logic 11 (1):1-60.
Hans G. Herzberger (1982). Notes on Naive Semantics. Journal of Philosophical Logic 11 (1):61 - 102.

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