s not one jot the power of adding to it, or brings
him any nearer the end of the inexhaustible stock of number; where still
there remains as much to be added, as if none were taken out. And this
ENDLESS ADDITION or ADDIBILITY (if any one like the word better) of
numbers, so apparent to the mind, is that, I think, which gives us
the clearest and most distinct idea of infinity: of which more in the
following chapter.
CHAPTER XVII.
OF INFINITY.
1. Infinity, in its original Intention, attributed to Space, Duration,
and Number.
He that would know what kind of idea it is to which we give the name of
INFINITY, cannot do it better than by considering to what infinity is
by the mind more immediately attributed; and then how the mind comes to
frame it.
FINITE and INFINITE seem to me to be looked upon by the mind as the
MODES OF QUANTITY, and to be attributed primarily in their first
designation only to those things which have parts, and are capable of
increase or diminution by the addition or subtraction of any the least
part: and such are the ideas of space, duration, and number, which we
have considered in the foregoing chapters. It is true, that we cannot
but be assured, that the great God, of whom and from whom are all
things, is incomprehensibly infinite: but yet, when we apply to that
first and supreme Being our idea of infinite, in our weak and narrow
thoughts, we do it primarily in respect to his duration and ubiquity;
and, I think, more figuratively to his power, wisdom, and goodness, and
other attributes which are properly inexhaustible and incomprehensible,
&c. For, when we call THEM infinite, we have no other idea of this
infinity but what carries with it some reflection on, and imitation of,
that number or extent of the acts or objects of God's power, wisdom, and
goodness, which can never be supposed so great, or so many, which these
attributes will not always surmount and exceed, let us multiply them in
our thoughts as far as we can, with all the infinity of endless number.
I do not pretend to say how these attributes are in God, who is
infinitely beyond the reach of our narrow capacities: they do, without
doubt, contain in them all possible perfection: but this, I say, is our
way of conceiving them, and these our ideas of their infinity.
2. The Idea of Finite easily got.
Finite then, and infinite, being by the mind looked on as MODIFICATIONS
of expansion and duration, the next thing to be
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