The Monist 83 (2):187-208 (2000)

Authors
Frank Arntzenius
Oxford University
Abstract
Zeno argued that since at any instant an arrow does not change its location, the arrow does not move at any time, and hence motion is impossible. I discuss the following three views that one could take in view of Zeno's argument:(i) the "at-at" theory, according to which there is no such thing as instantaneous velocity, while motion in the sense of the occupation of different locations at different times is possible,(ii) the "impetus" theory, according to which instantaneous velocities do exist but these are only contingently and causally related to the temporal developments of positions,(iii) the "no instants" theory, according to which instants in time do not exist, and hence instantaneous velocities do not exist, while motion, in the sense of different areas occupied during different time intervals, is possible.I argue that, despite the fact that there have been interesting and relevant developments in mathematics and physics since the time of Zeno, each of these views still has serious drawbacks
Keywords Analytic Philosophy  Contemporary Philosophy  General Interest  Philosophy of Mind  Philosophy of Science
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ISBN(s) 0026-9662
DOI 10.5840/monist20008328
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References found in this work BETA

Non-Standard Analysis.Gert Heinz Müller - 1969 - Journal of Symbolic Logic 34 (2):292-294.
Non-Standard Analysis.Abraham Robinson - 1961 - North-Holland Publishing Co..
Logical Atoms and Combinatorial Possibility.Brian Skyrms - 1993 - Journal of Philosophy 90 (5):219-232.
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Citations of this work BETA

Some Consequences of Physics for the Comparative Metaphysics of Quantity.David John Baker - 2020 - In Karen Bennett & Dean W. Zimmerman (eds.), Oxford Studies in Metaphysics Volume 12. Oxford University Press. pp. 75-112.
A Puzzle About Rates of Change.David Builes & Trevor Teitel - 2020 - Philosophical Studies 177 (10):3155-3169.
Against Pointillisme About Mechanics.Jeremy Butterfield - 2006 - British Journal for the Philosophy of Science 57 (4):709-753.
Weak Discernibility for Quanta, the Right Way.Nick Huggett & Josh Norton - 2014 - British Journal for the Philosophy of Science 65 (1):39-58.
Gunk, Topology and Measure.Frank Arntzenius - 2004 - In Dean Zimmerman (ed.), Oxford Studies in Metaphysics: Volume 4. Oxford University Press.

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