Are There Really Instantaneous Velocities?

The Monist 83 (2):187-208 (2000)
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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Weak Discernibility for Quanta, the Right Way.N. Huggett & J. Norton - 2014 - British Journal for the Philosophy of Science 65 (1):39-58.
Enantiomorphy and Time.Jan-Willem Romeyn - 2005 - International Studies in the Philosophy of Science 19 (2):167-190.
On the Time Reversal Invariance of Classical Electromagnetic Theory.David Malament - 2004 - Studies in History and Philosophy of Science Part B 35 (2):295-315.
Why Physics Uses Second Derivatives.Kenny Easwaran - 2014 - British Journal for the Philosophy of Science 65 (4):845-862.

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