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by Zeno. The rigor of his arguments overwhelmed his
contemporaries, and the most famous of these
arguments, the Paradoxes, continues to fascinate
laymen and philosophers alike.
Many attempts have been made to explain these
Paradoxes. Taken as separate and independent
arguments, they range from the peculiar to the silly;
yet in the ancient world they enjoyed an enormous
reputation. The best resolution of this problem is
that offered by Robert Brumbaugh in The Philosophers
of Greece: The Paradoxes should be viewed. not as
separate arguments, but as four parts of a single
argument, each part designed to refute one possible
interpretation of Pythagorean philosophy of nature.
Because for many years the Pythagorean order
imposed a rigid code of secrecy upon its members, it
is impossible to determine with any certainty
precisely what its official doctrine was at any given
time, However it seems fair to say that Pythagorean
science was basically atomistic, the universe being
conceived of as additive, that is, composed of atoms
or minims, indivisible "smallest-possible'' units of