New Zeno and Actual Infinity

Open Journal of Philosophy 1 (2):57 (2011)
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Abstract

In 1964 José Benardete invented the “New Zeno Paradox” about an infinity of gods trying to prevent a traveller from reaching his destination. In this paper it is argued, contra Priest and Yablo, that the paradox must be resolved by rejecting the possibility of actual infinity. Further, it is shown that this paradox has the same logical form as Yablo’s Paradox. It is suggested that constructivism can serve as the basis of a common solution to New Zeno and the paradoxes of truth, and a constructivist interpretation of Kripke’s theory of truth is given

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10.4236/ojpp.2011.12010

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References found in this work

Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Paradox without Self-Reference.Stephen Yablo - 1993 - Analysis 53 (4):251-252.
Beyond the Limits of Thought.Graham Priest - 1995 - Cambridge, England: Cambridge University Press.
Infinity.José A. Benardete - 1964 - Oxford,: Clarendon Press.
Revenge of the liar: new essays on the paradox.J. C. Beall (ed.) - 2007 - New York: Oxford University Press.

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