Plato and the Other Companions of Sokrates, 3rd ed. Volume 3Grote, George
Philosophy
Plato and the Other Companions of Sokrates, 3rd ed. Volume 3
Grote, George
Philosophy, Ancient; Plato; Socrates, 470 BC-399 BC
This Demonstration 8, with its strange and subtle chain of
inferences, purporting to rest upon the admission of Cætera
without Unum, brings out the antithesis of the Apparent and the
Real, which had not been noticed in the preceding demonstrations.
Demonstration 8 is in its character Zenonian. It probably
coincides with the proof which Zeno is reported (in the earlier
half of this dialogue) to have given against the existence of any
real Multa. If you assume Multa (Zeno argued), they must be both
like and unlike, and invested with many other opposite attributes;
but this is impossible; therefore the assumption is untrue.[107]
Those against whom Zeno reasoned, contended for real Multa, and
against a real Unum. Zeno probably showed, and our eighth
Demonstration here shows also,--that Multa under this supposition
are nothing real, but an assemblage of indefinite, ever-variable,
contradictory appearances: an [Greek: A)/peiron], Infinite, or
Chaos: an object not real and absolute, but relative and variable
according to the point of view of the subject.
[Footnote 107: Plato, Parmenid. p. 127 E; compare this with the
close of the eighth Demonstration, p. 165 E--[Greek: ei) e(no\s
mê\ o)/ntos polla\ e)/stin].]
[Side-note: Demonstration IX. _Neither_ following _Both_.]
To the eighth Demonstration, ingenious as it is, succeeds a
countervailing reversal in the ninth: the Neither following the
Both. The fundamental supposition is in terms the same. _Si Unum
non est_, what is to become of _Cætera_? _Cætera_ are not _Unum_:
yet neither are they _Multa_: for if there were any Multa, Unum
would be included in them. If none of the Multa were Unum, all of
them would be nothing at all, and there would be no Multa. If
therefore Unum be not included in Cætera, Cætera would be neither
Unum nor Multa: nor would they appear to be either Unum or Multa:
for Cætera can have no possible communion with Non-Entia: nor can
any of the Non-Entia be present along with any of Cætera--since
Non-Entia have no parts. We cannot therefore conceive or represent
to ourselves Non-Ens as along with or belonging to Cætera.
Therefore, _Si Unum non est_, nothing among _Cætera_ is conceived
either as Unum or as Multa: for to conceive Multa without Unum is
impossible. It thus appears, _Si Unum non est_, that Cætera
neither are Unum nor Multa. Nor are they conceived either as Unum
or Multa--either as like or as unlike--either as the same or as
different--either as in contact or as apart.--In short, all those
attributes which in the last preceding Demonstration were shown
_to belong to them_ in appearance, are now shown _not to belong_
to them either in appearance or in reality.[108]
Public-domain text, read in full here on John Shaqi.
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