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Zeno Dichotomies

Author:

Leon, Antonio

Category:

Research Papers

Sub-Category:

Mathematics and Applied Mathematics

Language:

English

Date Published:

May 23, 2023

File:

/Research Papers-Mathematics and Applied Mathematics/Download/8219

Downloads:

282

Keywords:

Zeno paradoxes, Zeno dichotomies, w-order, actual infinity

Abstract:

This chapter introduces a formalized version of Zeno’s Dichotomy in its two variants (here referred to as Dichotomy I and II) based on the discreteness and separation of ω-order (Dichotomy I) and of ω∗-order (Dichotomy II) defined below in this section. Each of these formalized versions leads to a contradiction pointing to the inconsistency of the hypothesis of the actual infinity