On the Way to Zenon’s Paradoxes: Closed and Semi-open Intervals

Authors

  • Kirill Rodin Institute of Philosophy and Law SB RAS (Novosibirsk)

DOI:

https://doi.org/10.47850/RL.2022.3.4.68-74

Keywords:

Zeno, closed and semi-open intervals, paradox, movement.

Abstract

formulate a slightly modified version of Zeno's paradox Dichotomy and briefly consider the so-called Zeno objects (together with Thomson's lamp and Benacerraf's resolution of the Thomson lamp) to demonstrate the irrelevance of the distinction between closed and semi-open intervals for solving (or even posing) the problem of conceptualizing movement. Then I present objections to the Paradox of Oncoming Movement (formulated by Berestov).

Author Biography

Kirill Rodin, Institute of Philosophy and Law SB RAS (Novosibirsk)

Candidate of Philosophical Sciences, Senior Researcher

References

Берестов, И. В. (2022). Как Ахиллес с Гектором разминулся: затруднение в теории движения, разводящей прохождение открытого интервала и его замыкания. Respublica Literaria. Т. 3. № 4. С. 5-27. DOI: 10.47850/RL.2022.3.4.5-27

Berestov, I. V. (2022). How Achilles and Hector Missed Each Other: A Difficulty in the Theory of Motion That Distinguish the Passage of an Open Space Interval from the Passage of its Closure. Respublica Literaria. Vol. 3. no. 4. pp. 5-27. DOI: 10.47850/RL.2022.3.4.5-27 (In Russ.)

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Berestov, I. V. (2021b). A Soundness Analysis of Zeno’s of Elea Dichotomy. Respublica Literaria. Vol. 2. no. 4. рр. 27-42. DOI: 10.47850/RL.2021.2.4.27-42 (In Russ.)

Hawthorne, J. (2000). Before-Effect and Zeno Causality. Noûs. Vol. 34. no. 4. pp. 622-633.

Papa-Grimaldi, A. (1996). Why Mathematical Solutions of Zeno’s Paradoxes Miss the Point: Zeno’s “One and Many” Relation and Parmenides’ Prohibition. The Review of Metaphysics. no. 50. pp. 299-314.

Prosser, S. (2009). Zeno objects and supervenience. Analysis. Vol. 69. no. 1. pp. 18-26

Published

2022-12-29

How to Cite

Rodin К. А. . (2022). On the Way to Zenon’s Paradoxes: Closed and Semi-open Intervals. Respublica Literaria, 3(4), 68–74. https://doi.org/10.47850/RL.2022.3.4.68-74