History and Philosophy of Physics

   

A Rational Interpretation of Zeno’s Paradoxes

Authors: Rajib Kumar Bandopadhyay

Many have attempted a solution to the Zeno’s paradoxes, including Peter Lynds in his papers "Time and Classical and Quantum Mechanics: Indeterminacy vs. Discontinuity" and "Zeno’s Paradoxes: A Timely Solution". Peter Lynds’ solutions have been widely accepted by the peers. To me, Lynds and others have overlooked the moot point. Even if the uncertainties in measurement of distance and time interval were removed Zeno’s paradoxes would still stand unsolved. The actual events satisfying Zeno’s implicit conditions are totally different — Achilles does never catch the tortoise, it is never possible to complete a journey (the dichotomy problem) or the arrow can never be in motion since it is frozen in a box at any instant. This is because Zeno is, and we are, attempting something that is not permitted in nature — Zeno’ paradoxes assume the improbable — that we could change and control our ability to observe an event, spanning an interval of time, arbitrarily, from an infinitesimally small value to a infinitely large value.

Comments: 9 Pages.

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Submission history

[v1] 2023-01-27 05:47:45
[v2] 2023-01-29 01:21:46

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