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
Again, if unity has no real subsistence, and is nothing more than
a name or conception of the mind, it may be destroyed without the
destruction of its subject. The unity, therefore, of a house may be
taken away, without the ruin of a house. But if a house is nothing more
than certain materials, reduced into one form, this is impossible. And,
on the contrary, the alteration of that subject, of which unity is
predicated, can make no real alteration in unity (on this hypothesis)
any more than the death of a man can affect his name. When, therefore,
a body, of which _one_ was predicated, is divided into a multitude
of parts, there is no real alteration made in the unity of the body,
because unity is nothing more than a name.
It was in consequence of this reasoning, and perceiving that unity
was participated by every being, that the Pythagoreans placed a
super-essential one at the top of the universe, intelligibly abstracted
from all beings in simplicity and excellence of nature. For they
considered, that unless there was a self-subsisting one in all things,
there could neither be universals nor particulars. Not the first,
because they are by nature _one_ and _many_. But it is requisite that
the one itself, should preside over that which is not one alone.
Nor again, the second, because they are many and one, (that is,
they participate more of multitude than unity, and their nature is
determined more by the _many_ than the _one_.) And because of things
in participation, unless an unparticipated one is added, there can
be no cause of union to beings; in the same manner as the cause of
essence to beings, is taken away by those who deny that being itself,
is the principle of all essence. For as the good itself, is the one
principle of good to the universe, and is nothing besides good; and
as a self-motive nature, which is nothing besides self-motion, is the
cause of motion to all things; so all things proceed from being itself,
and all united natures receive their union from _the one_, abstracted
from all things.
Hence (such is the absolute dominion of unity), continued quantities
would have no existence without its participation; for when they are
divided, so far as they lose unity, they change their being into some
other form. Hence, the bodies of plants or animals, which are each of
them one, when they fly from unity, and are dissipated into multitude,
immediately lose the essence they formerly possessed, and become
something else; which new state of being they likewise possess so far
as they are one. Add too, that health then flourishes in the corporeal
frame, when the body is conciliated into one; then beauty flourishes,
when the power of one connects the members into proportion and consent;
and then virtue reigns in the soul, when the soul is reduced into one
similitude with that which is divine.