Plato and the Other Companions of Sokrates, 3rd ed. Volume 1 — Plato — John Shaqi
Plato and the Other Companions of Sokrates, 3rd ed. Volume 1
Plato · en
Here Plato evidently represents Zeno as merely proving that
contradictory conclusions followed, _if you assumed a given
hypothesis_; which hypothesis was thereby shown to be inadmissible.
But Plato alludes to Zeno in another place (Phædrus, c. 97, p. 261)
under the name of the Eleatic Palamedes, as "showing his art in
speaking, by making the same things appear to the hearers like and
unlike, one and many, at rest and in motion". In this last passage,
the impression produced by Zeno's argumentation is brought to view,
apart from the scope and purpose with which he employed it: which
scope and purpose are indicated in the passage above cited from the
Parmenides.
So also Isokrates (Encom. Helen. init.) [Greek: Zê/nôna, to\n tau)ta\
dunata\ kai\ pa/lin a)du/nata peirô/menon a)pophai/nein.]]
[Footnote 27: Plato, Parmenides, p. 128 D.]
[Side-note: Mistake of supposing Zeno's _reductiones ad absurdum_ of
an opponents doctrines to be generalisations of data gathered from
experience.]
But the purport of Zeno's reasoning is mistaken, when he is conceived
as one who wishes to delude his hearers by proving both sides of a
contradictory proposition. Zeno's contradictory conclusions are
elicited with the express purpose of disproving the premisses from
which they are derived. For these premisses Zeno himself is not to be
held responsible, since he borrows them from his opponents: a
circumstance which Aristotle forgets, when he censures the Zenonian
arguments as paralogisms, because they assume the Continua, Space, and
Time, to be discontinuous or divided into many distinct parts.[28] Now
this absolute discontinuousness of matter, space, and time, was not
advanced by Zeno as a doctrine of his own, but is the very doctrine of
his opponents, taken up by him for the purpose of showing that it led
to contradictory consequences, and thus of indirectly refuting it. The
sentence of Aristotle is thus really in Zeno's favour, though
apparently adverse to him. In respect to motion, a similar result
followed from the Zenonian reasonings; namely, to show That motion, as
an attribute of the Real and Absolute, was no less inconsistent with
the hypothesis of those who opposed Parmenides, than with the
hypothesis of Parmenides himself:--That absolute motion could no more
be reconciled with the doctrine of the discontinuous Many, than with
that of the Continuous One:--That motion therefore was only a
phenomenal fact, relative to our sensations, conceptions, and
comparisons; and having no application to the absolute. In this
phenomenal point of view, neither Zeno nor Parmenides nor Melissus
disputed the fact of motion. They recognised it as a portion of the
world of sensation and experience; which world they tried to explain,
well or ill, by analogies and conjectures derived from itself.