Ανάλυση της Λογικής του Ζηνωνείου Επιχειρήματος ‘Εναντίον της Πολλαπλότητας

Translated title of the contribution: The Logic of Zeno’s Argument ‘Against Plurality

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Abstract

In this article we examine the logic of Zeno's Paradox/Argument " Against plurality " and we show, by analyzing Zeno's argument as it appears in Simplicius On Aristotle Physics 139,5-139,19 and 140,27-141,8, that there are two logical syllogisms in the argument, that both lead to contradictory conclusions (as Zeno was aiming to show). We reconstruct and analyze the second syllogism and we focus on its contradictory conclusion in order to show that the syllogism is (logically) unsound, and that this is the reason for the contradictory conclusions. We also discuss in brief the manner that " Eudoxus' Exhaustion Method " consists the fundamental technique that lies in the core of the complete resolution of the Zeno's Paradox " Against Plurality " , obtained via the theory Infinitesimal Calculus.
Original languageGreek
Pages (from-to)411-434
Number of pages24
JournalPhilosophein
Publication statusPublished - Jan 2016

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Zeno
Plurality
Logic
Contradictory
Paradox
Calculi
Exhaustion
Aristotle's Physics
Fundamental

Keywords

  • Eleatic Philosophy, Zeno’s Paradoxe s, Syllogism, Logic, Exhaustion Method

Cite this

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title = "Ανάλυση της Λογικής του Ζηνωνείου Επιχειρήματος ‘Εναντίον της Πολλαπλότητας",
abstract = "In this article we examine the logic of Zeno's Paradox/Argument {"} Against plurality {"} and we show, by analyzing Zeno's argument as it appears in Simplicius On Aristotle Physics 139,5-139,19 and 140,27-141,8, that there are two logical syllogisms in the argument, that both lead to contradictory conclusions (as Zeno was aiming to show). We reconstruct and analyze the second syllogism and we focus on its contradictory conclusion in order to show that the syllogism is (logically) unsound, and that this is the reason for the contradictory conclusions. We also discuss in brief the manner that {"} Eudoxus' Exhaustion Method {"} consists the fundamental technique that lies in the core of the complete resolution of the Zeno's Paradox {"} Against Plurality {"} , obtained via the theory Infinitesimal Calculus.",
keywords = "Eleatic Philosophy, Zeno’s Paradoxe s, Syllogism, Logic, Exhaustion Method, Eleatic Philosophy,, Exhaustion Method., Zeno’s Paradoxes,, Logic, Paradoxes",
author = "George Chailos",
year = "2016",
month = "1",
language = "Greek",
pages = "411--434",
journal = "Philosophein",
issn = "2241-4401",

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T1 - Ανάλυση της Λογικής του Ζηνωνείου Επιχειρήματος ‘Εναντίον της Πολλαπλότητας

AU - Chailos, George

PY - 2016/1

Y1 - 2016/1

N2 - In this article we examine the logic of Zeno's Paradox/Argument " Against plurality " and we show, by analyzing Zeno's argument as it appears in Simplicius On Aristotle Physics 139,5-139,19 and 140,27-141,8, that there are two logical syllogisms in the argument, that both lead to contradictory conclusions (as Zeno was aiming to show). We reconstruct and analyze the second syllogism and we focus on its contradictory conclusion in order to show that the syllogism is (logically) unsound, and that this is the reason for the contradictory conclusions. We also discuss in brief the manner that " Eudoxus' Exhaustion Method " consists the fundamental technique that lies in the core of the complete resolution of the Zeno's Paradox " Against Plurality " , obtained via the theory Infinitesimal Calculus.

AB - In this article we examine the logic of Zeno's Paradox/Argument " Against plurality " and we show, by analyzing Zeno's argument as it appears in Simplicius On Aristotle Physics 139,5-139,19 and 140,27-141,8, that there are two logical syllogisms in the argument, that both lead to contradictory conclusions (as Zeno was aiming to show). We reconstruct and analyze the second syllogism and we focus on its contradictory conclusion in order to show that the syllogism is (logically) unsound, and that this is the reason for the contradictory conclusions. We also discuss in brief the manner that " Eudoxus' Exhaustion Method " consists the fundamental technique that lies in the core of the complete resolution of the Zeno's Paradox " Against Plurality " , obtained via the theory Infinitesimal Calculus.

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KW - Exhaustion Method.

KW - Zeno’s Paradoxes,

KW - Logic

KW - Paradoxes

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