New Zeno and Actual Infinity

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DOI: 10.4236/ojpp.2011.12010   PDF   HTML     4,450 Downloads   7,182 Views   Citations

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

Conflicts of Interest

The authors declare no conflicts of interest.

References

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[9] Yablo, S. (2000). A reply to new Zeno. Analysis, 60, 148-151. doi:10.1111/1467-8284.00217

  
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