DOES CONTEMPORARY ANALYSIS OF DIFFICULTIES WITH ZENO SEQUENCES CONTAIN A SOLUTION TO THE DICHOTOMY?

Abstract

We analyze contemporary thought experiments with some Zeno objects and infinity machines. We show how the method of reasoning from J. Hawthorne’s paper helps to understand the structure of one of the refutations of a rather sophisticated version of Zeno’s of Elea Dichotomy. After that, we propose an improvement of this version of the Dichotomy. Further, we show that the method of operating with infinite sequences of conditional sentences – proposed in J. Hawthorne’s paper – is insufficient to refute the last variant of the Dichotomy.