Review of Metaphysics 50 (2):299 - 314 (1996)

MATHEMATICAL RESOLUTIONS OF ZENO’s PARADOXES of motion have been offered on a regular basis since the paradoxes were first formulated. In this paper I will argue that such mathematical “solutions” miss, and always will miss, the point of Zeno’s arguments. I do not think that any mathematical solution can provide the much sought after answers to any of the paradoxes of Zeno. In fact all mathematical attempts to resolve these paradoxes share a common feature, a feature that makes them consistently miss the fundamental point which is Zeno’s concern for the one-many relation, or it would be better to say, lack of relation. This takes us back to the ancient dispute between the Eleatic school and the Pluralists. The first, following Parmenide’s teaching, claimed that only the One or identical can be thought and is therefore real, the second held that the Many of becoming is rational and real.1 I will show that these mathematical “solutions” do not actually touch Zeno’s argument and make no metaphysical contribution to the problem of understanding what is motion against immobility, or multiplicity against identity, which was Zeno’s challenge. I would like to point out at this stage that my contention.
Keywords Catholic Tradition  Contemporary Philosophy  General Interest
Categories (categorize this paper)
ISBN(s) 0034-6632
DOI revmetaph1996502199
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 57,156
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

The Presumption of Movement.Alba Papa-Grimaldi - 2007 - Axiomathes 17 (2):137-154.

Add more citations

Similar books and articles


Added to PP index

Total views
224 ( #39,987 of 2,411,745 )

Recent downloads (6 months)
17 ( #42,579 of 2,411,745 )

How can I increase my downloads?


My notes