— 209 —
Number measures all Measurables.       §8. This farther is observable in Number, That it is that, which
the Mind makes use of in measuring all things, that by us are measur-
able, which principally are Expansion and Duration; and our Idea of
Infinity, even when applied to those, seems to be nothing, but the
Infinity of Number. For what else are our Ideas of Eternity and
Immensity, but the repeated additions of certain Ideas of imagined
parts of Duration, and Expansion with the Infinity of Number, in
which we can come to no end of Addition? For such an inexhaustible
stock, Number, of all other our Ideas, most clearly furnishes us with,
as is obvious to every one. For let a Man collect into one Sum, as
great a Number as he pleases, this Multitude, how great soever,
lessens 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.
Locke Hum II, 16, §8, p. 209