「ゼノンの逆理」とアリストテレス

篠澤 和久

doi:10.11439/philosophy1952.1994.176

Aristotle on Zeno's Paradoxes of Motion

Kazuhisa SHINOZAWA

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1994 Volume 1994 Issue 44 Pages 176-185,5

DOI https://doi.org/10.11439/philosophy1952.1994.176

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Published: April 01, 1994 Received: - Available on J-STAGE: July 23, 2009 Accepted: - Advance online publication: - Revised: -
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Date of correction: July 23, 2009 Reason for correction: - Correction: ABSTRACT Details: Wrong : The aim in my paper is to explore some convincing aspects in Aristotle's solution. I make the following points clear.
Firstly, his arguments set forth gradual and convergent approaches to the paradoxes, namely, not only a transition from the ad hominem arguments to the fact and truth, but also his step-by-step reconstruction of four paradoxes.
Secondly, Aristotle correctly grasps that the most crucial issue is in how it is possible to "move in an instant". He answers to this by suggesting (1) that "x is φ-ing now" can be analyzed into "x is φ-ing in the same instant y is Ψ-ing", and (2) that the latter part is based on the more fundamental motion and time.
Right : The aim in my paper is to explore some convincing aspects in Aristotle's solution. I make the following points clear.
Firstly, his arguments set forth gradual and convergent approaches to the paradoxes, namely, not only a transition from the ad hominem arguments to the fact and truth, but also his step-by-step reconstruction of four paradoxes.
Secondly, Aristotle correctly grasps that the most crucial issue is in how it is possible to "move in an instant". He answers to this by suggesting (1) that "x is φ-ing now" can be analyzed into "x is φ-ing in the same instant y is Ψ-ing", and (2) that the latter part is based on the more fundamental motion and time.

Date of correction: July 23, 2009 Reason for correction: - Correction: CITATION Details: Wrong : Barnes, J.; The Presocratic Philosophers (revised ed.), Routledge & Kegan Paul, 1982.
Binnick, R.; Time and the Verb, Oxford, 1991.
Black, M.; Problems of Analysis, 1954.
Gill, M. L.; Aristotle on Self-Motion, in Aristotle's Physics, (ed.) Judson, L., Oxford, 1991.
Kirk, G. & Raven, J.; The Presocratic Philosophers (1st. ed.), Cambridge, 1957.
Lear, J.; "A Note on Zeno's Arrow", Phronesis 26, 1981.
Owen, G. E. L.; "Zeno and the Mathematician", in Studies in Presocratic Philosophy vol. II, (ed.) Allen, R. E. & Furley, D. J., London, 1975.
Ross, W. D.; Aristotle's Physics, Oxford, 1936.
Sorabji, R.; Time, Creation, and the Continun, Ithaca, 1983.
Vlastos,G.(1); "A Note on Zeno's Arrow", in Studies in Presocratic Philosophy vol. II, (ed.) Allen, R. E. & Furley, D. J., London, 1975.
Vlastos, G. (2); "Zeno's Race Course", in Studies in Presocratic Philos-ophy vol. II, (ed.) Allen, R. E. & Furley, D. J., London, 1975.
Waterlow, S.; "Instants of Motion in Aristotle's Physics VI", Archiv für Geschichte der Philosophie Bd. 65, 1983.

Right : Barnes, J.; The Presocratic Philosophers (revised ed.), Routledge & Kegan Paul, 1982.
Binnick, R.; Time and the Verb, Oxford, 1991.
Black, M.; Problems of Analysis, 1954.
Gill, M. L.; Aristotle on Self-Motion, in Aristotle's Physics, (ed.) Judson, L., Oxford, 1991.
Kirk, G. & Raven, J.; The Presocratic Philosophers (1st. ed.), Cambridge, 1957.
Lear, J.; "A Note on Zeno's Arrow", Phronesis 26, 1981.
Owen, G. E. L.; "Zeno and the Mathematician", in Studies in Presocratic Philosophy vol. II, (ed.) Allen, R. E. & Furley, D. J., London, 1975.
Ross, W. D.; Aristotle's Physics, Oxford, 1936.
Sorabji, R.; Time, Creation, and the Continun, Ithaca, 1983.
Vlastos,G.(1); "A Note on Zeno's Arrow", in Studies in Presocratic Philosophy vol. II, (ed.) Allen, R. E. & Furley, D. J., London, 1975.
Vlastos, G. (2); "Zeno's Race Course", in Studies in Presocratic Philos-ophy vol. II, (ed.) Allen, R. E. & Furley, D. J., London, 1975.
Waterlow, S.; "Instants of Motion in Aristotle's Physics VI", Archiv für Geschichte der Philosophie Bd. 65, 1983.

Date of correction: July 23, 2009 Reason for correction: - Correction: PDF FILE Details: -

Abstract

The aim in my paper is to explore some convincing aspects in Aristotle's solution. I make the following points clear.
Firstly, his arguments set forth gradual and convergent approaches to the paradoxes, namely, not only a transition from the ad hominem arguments to the fact and truth, but also his step-by-step reconstruction of four paradoxes.
Secondly, Aristotle correctly grasps that the most crucial issue is in how it is possible to "move in an instant". He answers to this by suggesting (1) that "x is φ-ing now" can be analyzed into "x is φ-ing in the same instant y is Ψ-ing", and (2) that the latter part is based on the more fundamental motion and time.

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