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The Form of the Benardete Dichotomy

Nicholas Shackel
The British Journal for the Philosophy of Science
Vol. 56, No. 2 (Jun., 2005), pp. 397-417
Stable URL: http://www.jstor.org/stable/3541709
Page Count: 21
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The Form of the Benardete Dichotomy
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Abstract

Benardete presents a version of Zeno's dichotomy in which an infinite sequence of gods each intends to raise a barrier iff a traveller reaches the position where they intend to raise their barrier. In this paper, I demonstrate the abstract form of the Benardete Dichotomy. I show that the diagnosis based on that form can do philosophical work not done by earlier papers rejecting Priest's version of the Benardete Dichotomy, and that the diagnosis extends to a paradox not normally classified as a dichotomy. I show how the form is exploited to generate paradox.

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