Plato and the Other Companions of Sokrates, 3rd ed. Volume 1
Plato · en
[Side-note: Each thing must exist in its own place--Grain of millet
not sonorous.]
Again--If existing things be many and discontinuous, each of these
must exist in a place of its own. Nothing can exist except in some
place. But the place is itself an existing something: each place must
therefore have a place of its own to exist in: the second place must
have a third place to exist in and so forth ad infinitum.[20] We have
here a farther _reductio ad impossibile_ of the original hypothesis:
for that hypothesis denies the continuity of space, and represents
space as a multitude of discontinuous portions or places.
[Footnote 20: Aristotel. Physic. iv. 1, p. 209, a. 22; iv. 3, p. 210,
b. 23.
Aristotle here observes that the Zenonian argument respecting place is
easy to be refuted; and he proceeds to give the refutation. But his
refutation is altogether unsatisfactory. Those who despise these
Zenonian arguments as _sophisms_, ought to look at the way in which
they were answered, at or near the time.
Eudêmus ap. Simplik. ad Aristot. Physic. f. 131. [Greek: a)/xion ga\r
pa=n tô=n o)/ntôn pou= ei)=nai; ei) de\ o( to/pos tô=n o)/ntôn, pou=
a)\n ei)/ê?]]
Another argument of Zeno is to the following effect:--"Does a grain of
millet, when dropped upon the floor, make sound? No.--Does a bushel of
millet make sound under the same circumstances? Yes.--Is there not a
determinate proportion between the bushel and the grain? There
is.--There must therefore be the same proportion between the
sonorousness of the two. If one grain be not sonorous, neither can ten
thousand grains be so."[21]
[Footnote 21: Aristotel. Physic. vii. 5, p. 250, a. 20, with the
Scholia of Simplikius on the passage, p. 423, ed. Brandis.]
To appreciate the contradiction brought out by Zeno, we must recollect
that he is not here reasoning about facts of sense, phenomenal and
relative--but about things in themselves, absolute and
ultra-phenomenal** realities. He did not deny the fact of sense:
to appeal to that fact in reply, would have been to concede his point.
The adversaries against whom he reasoned (Protagoras is mentioned, but he
can hardly have been among them, if we have regard to his memorable
dogma, of which more will be said presently) were those who maintained
the plurality of absolute substances, each for itself, with absolute
attributes, apart from the fact of sense, and independent of any
sentient subject. One grain of millet (Zeno argues) has no absolute
sonorousness, neither can ten thousand such grains taken together have
any. Upon the hypothesis of absolute reality as a discontinuous
multitude, you are here driven to a contradiction which Zeno intends
as an argument against the hypothesis. There is no absolute
sonorousness in the ten thousand grains: the sound which they make is
a phenomenal fact, relative to us as sentients of sound, and having no
reality except in correlation with a hearer.[22]