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Zeno's Metrical Paradox Revisited

Published online by Cambridge University Press:  01 April 2022

David M. Sherry
David M. Sherry*
Affiliation:
Department of Philosophy, Northern Arizona University
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Abstract

Professor Grünbaum's much-discussed refutation of Zeno's metrical paradox turns out to be ad hoc upon close examination of the relevant portion of measure theory. Although the modern theory of measure is able to defuse Zeno's reasoning, it is not capable of refuting Zeno in the sense of showing his error. I explain why the paradox is not refutable and argue that it is consequently more than a mere sophism.

Information

Type
Research Article
Information
Philosophy of Science , Volume 55 , Issue 1 , March 1988 , pp. 58 - 73
Copyright
Copyright © 1988 by the Philosophy of Science Association

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Footnotes

†

I owe thanks to John Hagood for discussions of measure theory which helped me to avoid a number of infelicities.

References

REFERENCES

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