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
4. But let us now consider the nature of numbers; for as every form
is a number, according to the Pythagoreans[8], a speculation of this
kind must afford no small light to the arduous investigation of ideas.
Will it not, therefore, be proper, in the first place, to enquire,
with the great Plotinus[9], whether multitude is not a departure and
distance from _one_, so that infinity itself is a separation
from unity in the extreme, because it is no other than innumerable
multitude; that on this account it becomes evil; and that we contract a
similar nature when departing from intellectual unity, we are divided
by sensible multitude? For a being then properly becomes many, when no
longer able to remain collected in itself, the same, it is diffused
abroad, and thus, being dispersed, is variously extended; so that
when, by diffusion, it is absolutely deprived of unity, it becomes
perfect multitude, destitute of that universal cement, which unites
one part with another. But whenever the conciliating one is present,
then that which was scattered and diffused, becoming permanent by its
bounding power, passes into magnitude. But if any one should deny the
subsistence of unity, asserting that one is no where to be found,
which is not some particular one; and should hence affirm, that what
is called one abstractedly, is only a certain affection of the soul
towards any being; we ask, what prohibits the appellation of essence,
from being nothing more than an affection of the soul, and consequently
the existence of _being_, a delusion? For we predicate unity of
particulars with as great propriety as being. I am well aware, that
philosophers of the present day will answer, that we have an evident
proof of the reality of being, from its agitating the soul, and
becoming apparent in the phantasy: to which we reply, that in like
manner, the soul is agitated, and the imagination influenced about the
_one_. For every individual as much excites the perception of one,
as of being.
Besides, it is necessary to enquire whether we behold this passion and
conception of the soul, as one or multitude. And again, when we say
not one, we do not then possess one from the thing itself; for we say
that one is not contained in that individual. And hence we must possess
one in our own nature, and this must reside in the soul, separate
from that which is denominated some particular one. But here it may
be objected, that the one we possess is received from externals, and
is nothing more than a conception of the mind, produced by the thing
itself. For it will be said, that as multitude is nothing besides a
number of individuals, which are called many, so one is nothing besides
one thing; and is formed by thought separating that one particular from
others. To this we reply as follows: