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A dialogue on Zeno's paradox of Achilles and the tortoise
Authors:Dale Jacquette
Affiliation:(1) The Pennsylvania State University, 246 Sparks Building, University Park, 16802, PA, USA
Abstract:
The five participants in this dialogue critically discuss Zeno of Elea's paradox of Achilles and the tortoise. They consider a number of solutions to and restatements of the paradox, together with their philosophical implications. Among the issues investigated include the appearance-reality distinction, Aristotle's distinction between actual and potential infinity, the concept of a continuum, Cantor's continuum hypothesis and theory of transfinite ordinals, and, as a solution to Zeno's puzzle, the distinction between infinite and indeterminate or inexhaustible divisibility.
Keywords:Appearance-reality (distinction)  Aristotle  Georg Cantor  continuum  continuum hypothesis  infinity (actual, potential)  paradox  transfinite ordinals  Zeno (of Elea)
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