2005/05/18 by Nicholas Shackel · 3 citations
Psychology · Arts and Humanities · Social Sciences · #Philosophy and Theoretical Science #Classical Philosophy and Thought #Evolutionary Game Theory and Cooperation
paper · doi:10.1093/bjps/axi121
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