The Triad has a special beauty and fairness beyond all numbers, primarily because it is the very first to make actual the potentiality of the Monad - oddness, perfection, proportionality, unification, limit. Votes: 3

But in simple substances the influence of one monad over another is ideal only. Votes: 2

The soul is so far from being a monad that we have not only to interpret other souls to ourself but to interpret ourself to ourself. Votes: 2

I also take it as granted that every created thing, and consequently the created monad also, is subject to change, and indeed that this change is continual in each one. Votes: 2

For since it is impossible for a created monad to have a physical influence on the inner nature of another, this is the only way in which one can be dependent on another. Votes: 2

It can have its effect only through the intervention of God, inasmuch as in the ideas of God a monad rightly demands that God, in regulating the rest from the beginning of things, should have regard to itself. Votes: 2

Indeed every monad must be different from every other. For there are never in nature two beings, which are precisely alike, and in which it is not possible to find some difference which is internal, or based on some intrinsic quality. Votes: 2

The monad, of which we shall speak here, is nothing but a simple substance which enters into compounds; simple, that is to say, without parts. Votes: 0

If the potential of every number is in the monad, then the monad would be intelligible number in the strict sense, since it is not yet manifesting anything actual, but everything conceptually together in it. Votes: 0

MONAD, n. The ultimate, indivisible unit of matter (see Molecule). The monad has body without bulk, and mind without manifestation - containing all the powers and possibilities needful to his evolution into a German philosopher . . Votes: 0

The dyad gets its name from passing through or asunder; for the dyad is the first to have separated itself from the monad, whence also it is called "daring." For when the monad manifests unification, the dyad steals in and manifests separation.

A pair of statements may be taken conjunctively or disjunctively; for example, "It lightens and it thunders ," is conjunctive, "It lightens or it thunders" is disjunctive. Each such individual act of connecting a pair of statements is a new monad for the mathematician .