The philosophical and mathematical commentaries of Proclus on the first book of Euclid's elements (Vol. 1 of 2) : $b To which are added, A history of the restoration of Platonic theology, by the latter Platonists: And a translation from the Greek of Proclus's Theological elements — Plato — John Shaqi
The philosophical and mathematical commentaries of Proclus on the first book of Euclid's elements (Vol. 1 of 2) : $b To which are added, A history of the restoration of Platonic theology, by the latter Platonists: And a translation from the Greek of Proclus's Theological elements
Plato · en
has not the same total infinity ever present, or there would be the
same infinity of the whole and part, of the perfect and imperfect,
of the contained and containing, which is impossible. But neither is
it possible that the whole of its essence should be in the act of
perpetual production, any more than that a part of it should be eternal
being, lest the part should be more worthy and better than the whole.
Hence the ὑπόϛασις, or subsistence of the soul, is at the same time
of infinite power, and is generated in infinitum; for by this means
it participates of being, and obtains the first place among generated
natures; while body alone, both with respect to its whole and parts, is
obnoxious to a perpetual generation.
3. But let us now enquire from what genera Plato composes this
nature of the soul, which contains in itself the bond of all beings;
previous to which it will be requisite to explain what these genera
are, and from whence they originate. Of the species, then, existing
in the intelligible world, or the divine intellect, which contains in
itself the causes of all posterior natures, some are most general,
extending themselves to the universality of things; but others are
more particular, like the most special species, and others subsisting
between these, expand themselves, indeed, to a multitude of things,
but not to all, according to the division, of the Elean guest in the
Sophista. For man is produced from the ideal man, and horse from the
ideal horse, in the intelligible world; but the similitude which is
found in man and horse, and other animals, is produced from likeness
itself, or the ideal similitude, as dissimilitude from unlikeness
itself; but the sameness and difference which are found in all beings,
proceed from the sameness and difference which subsist in ever-vital
energy and perfection, in the supreme intellect, or the ideal world.
Now, as among the sciences some are especially universal, so in
intelligible causes some are perfectly particular, presiding alone
over the proper and peculiar number of one species; but others extend
themselves to a multitude, such as equality, likeness, totality, (for
the whole considered as a whole is not common to all things, since
the part is not a whole); but others, again, expand themselves to all
things, as all beings participate of these, considered as beings, and
not considered as vital or animated, or possessing any other property
exclusive of the denomination of being. Because, therefore, _being_
is the first, the causes of _being_ obtain the most universal order
among genera; and these are five in number, as follows, _essence_,
_sameness_, _difference_, _motion_, and _station_. For every being
is endued with essence; is united to itself; is by itself, or its
own sameness, separated from others; proceeds from itself, and its
own state and principle, and no less appears to participate of a
certain _abiding_, in preserving its own proper species. All things,