Plato and the Other Companions of Sokrates, 3rd ed. Volume 3
Plato · en
[Footnote 79: Plato, Parmenid. pp. 142-143. This is exactly what
Sokrates in the early part of the dialogue (p. 129 B-D) had
pronounced to be utterly inadmissible, _viz._: That [Greek: o(\
e)/stin e(\n] should be [Greek: polla\]--that [Greek: o(\ e)/stin
o(/moion] should be [Greek: a)no/moion]. The essential
characteristic of the Platonic Ideas is here denied. However, it
appears to me that Plato here reasons upon two contradictory
assumptions; first, that _Unum Ens_ is a total composed of two
parts separately assignable--_Unum_ and _Ens_; next, that _Unum_
is not assignable separately from _Ens_, nor _Ens_ from _Unum_.
Proceeding upon the first, he declares that the division must be
carried on ad infinitum, because you can never reach either the
separate _Ens_ or the separate _Unum_. But these two assumptions
cannot be admitted both together. Plato must make his election;
either he takes the first, in which case the total Unum Ens is
divisible, and its two factors, Unum and Ens, can be assigned
separately; or he takes the second, in which case _Unum_ and _Ens_
cannot be assigned separately--are not distinguishable factors,--so
that _Unum Ens_ instead of being infinitely divisible, is not
divisible at all.
The reasoning as it now stands is, in my judgment, fallacious.]
[Footnote 80: Plato, Parmen. pp. 144 A-E, 145 A.]
[Side-note: It ends in demonstrating _Both_, of that which the
first Demonstration had demonstrated _Neither_.]
Parmenides proceeds to show that Unum has beginning, middle, and
end--together with some figure, straight or curved: and that it is
both in itself, and in other things: that it is always both in
motion and at rest:[81] that it is both the same with itself and
different from itself--both the same with Cætera, and different
from Cætera:[82] both like to itself, and unlike to itself--both
like to Cætera, and unlike to Cætera:[83] that it both touches,
and does not touch, both itself and Cætera:[84] that it is both
equal, greater, and less, in number, as compared with itself and
as compared with Cætera:[85] that it is both older than itself,
younger than itself, and of the same age with itself--both older
than Cætera, younger than Cætera, and of the same age as
Cætera--also that it is not older nor younger either than itself or
than Cætera:[86] that it grows both older and younger than itself,
and than Cætera.[87] Lastly, Unum was, is, and will be; it has been,
is, and will be generated: it has had, has now, and will have,
attributes and predicates: it can be named, and can be the object
of perception, conception, opinion, reasoning, and cognition.[88]
[Footnote 81: Plato, Parmenid. p. 146 A-B.]
[Footnote 82: Plato, Parmenid. pp. 146-147 C.]
[Footnote 83: Plato, Parmenid. p. 148 A-D.]
[Footnote 84: Plato, Parmenid. p. 149 A-D.]
[Footnote 85: Plato, Parmenid. pp. 150-151 D.]
[Footnote 86: Plato, Parmen. pp. 152-153-154 A.]