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The British Journal for the Philosophy of Science Advance Access originally published online on May 17, 2005
The British Journal for the Philosophy of Science 2005 56(2):397-417; doi:10.1093/bjps/axi121
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© The Author (2005). Published by Oxford University Press on behalf of British Society for the Philosophy of Science. All rights reserved. For Permissions, please email: journals.permissions@oupjournals.org

Articles

The Form of the Benardete Dichotomy

Nicholas Shackel

Department of Philosophy, Kings' College, University of Aberdeen, Aberdeen AB24 3UB, United Kingdom, n.shackel{at}abdn.ac.uk

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.

  1. Introduction
  2. The form of the Benardete dichotomy
    2.1 The unsatisfiable pair diagnosis

  3. Applying the unsatisfiable pair diagnosis
    3.1 Perez Laraudogoitia
    3.2 Hawthorne
    3.3 Angel
    3.4 Yablo and Sorensen

  4. Exploiting the form


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