Elements of metaphysicsTaylor, A. E. (Alfred Edward)
Philosophy
Elements of metaphysics
Taylor, A. E. (Alfred Edward)
Metaphysics
We can see this even in the simple case of the familiar “infinite
series” of arithmetic and algebra. Such a series as 1, 1/2, 1/4 ... is
“infinite” not merely because you never come to the last term, but
because its character is determined from _within_, solely by the
principle according to which each term is derived from the one before
it; that the series has no end is a simple consequence of this positive
property of self-determination. But suppose I take _n_ terms of this
series and no more, where _n_ is a specified number, the resulting
series is now _finite_, not primarily because there are more terms of
the same kind outside it, but because the number of terms to be taken is
not prescribed by the law of formation of the series, but fixed with
reference to some object independent of the principle of the series
itself. In other words, only the infinite is in the full sense of the
words a completely self-determined whole. The finite is the imperfect,
not primarily because there is something outside it, but because its
contents are not solely prescribed by the principle of structure which
they embody. I, for instance, am a finite being, not principally or
merely because there are other men in the world, but because my ideas
and purposes are not a fully coherent systematic whole in
themselves.[70]
The view we have taken of individuality and the distinction between
finite and infinite individuality is closely akin to some of the most
fundamental ideas in the philosophy of Leibnitz. It was the doctrine of
Leibnitz that each of his monads “represented” the nature of the whole
system of existence, _i.e._ repeated the structure of the whole in its
own special structure, from a particular “point of view.” According to
the fulness and clearness of the “representation,” _i.e._ the adequacy
with which the structure of the monad repeated the structure of the
whole system, the monads were classed as higher or lower in the scale of
existence. The clearer a monad’s representation of the whole within
itself, the greater the monad’s “activity”; the more confused the
representation, the greater its “passivity.” It followed that, inasmuch
as no created monad fully exhibits the systematic structure of the whole
of Reality within itself, every one contains some element of
“passivity,” and that to be “passive” primarily means not to be affected
by extraneous influences, but to contain internal “confusion.”
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