TITLE:
New Zeno and Actual Infinity
AUTHORS:
Casper Storm Hansen
KEYWORDS:
New Zeno, Yablo’s Paradox, Infinity, Constructivism
JOURNAL NAME:
Open Journal of Philosophy,
Vol.1 No.2,
November
25,
2011
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.