Philosophy of Science 54 (2):295-302 (1987)

Jean Paul Van Bendegem
Vrije Universiteit Brussel
A solution of the zeno paradoxes in terms of a discrete space is usually rejected on the basis of an argument formulated by hermann weyl, The so-Called tile argument. This note shows that, Given a set of reasonable assumptions for a discrete geometry, The weyl argument does not apply. The crucial step is to stress the importance of the nonzero width of a line. The pythagorean theorem is shown to hold for arbitrary right triangles
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DOI 10.1086/289379
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Transition and Contradiction.John McKie - 1992 - Philosophica 50.

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