Taylor - Theoretic Arithmetic.pdf - Platonic Philosophy

It is also Justice, and Isis, Nature and Rhea, the mother of
lupiter, and the fountain of distribution. It was likewise
called by them Phrygia, Lydia, Dindymene, Ceres, and Eleusinia,
Diana and Cupid, Dictynna, Aeria, Asteria, Disamos,
and Esto. Also Venus, Dione, Mychza, Cytherea, ignorance,
ignobility, falsehood, difference, indistinction, strife, dissension,
Fate and Death."
Prior, however, to a development of these appellations, it
will be requisite to observe concerning the duad, that the Pythagorean~,
before they evinced the multitude subsists in intelligible~,
necessarily investigated the cause of the multitude
which is there, and found that among the genera of being it is
difference, which subsists according to non-being; but that in
causes most eminently the first, it is the indefinite duad, which,
says Syrianus, Pythagoras in the Sacred Discourse calls Chaos,
and which he associates with intellect; for he assigns this ap
pellation to the monad, which is the first of the two great
principlesX after the ineflable one.
This duad is indeed every where the cause of multitude, so
far as it produces things from the one with their proper differences.
But so far as it is a principle, there is also in the
several orders of beings a proper monad; and a duad connate
to this found, and which generates a number accommodated
to itself.
Every number too, subsists from these two principles, the
monad and duad; but the odd number is rather characterized
by the property of the monad, but the even by the property of
the duad. In angles, also, the right angle subsists rather according
to the monad, but the acute and obtuse, according to the
indefinite duad, in which exuberance and defect are most ap-
+ These two great principles are not only called the monad and duad, but also
bound and infinity.