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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.

KEYWORDS

New Zeno, Yablo’s Paradox, Infinity, Constructivism

Cite this paper

Hansen, C. 2011. New Zeno and Actual Infinity. Open Journal of Philosophy, 1, 57-60. doi: 10.4236-ojpp.2011.12010.





Author: Casper Storm Hansen

Source: http://www.scirp.org/



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