qualities be allowed to exist without, will be evident to whoever
considers that the same thing bears a different denomination of number as
the mind views it with different respects. Thus, the same extension is
one, or three, or thirty-six, according as the mind considers it with
reference to a yard, a foot, or an inch. Number is so visibly relative,
and dependent on men's understanding, that it is strange to think how any
one should give it an absolute existence without the mind. We say one
book, one page, one line, etc.; all these are equally units, though some
contain several of the others. And in each instance, it is plain, the
unit relates to some particular combination of ideas arbitrarily put
together by the mind.

13. UNITY I know some will have to be A SIMPLE OR UNCOMPOUNDED IDEA,
accompanying all other ideas into the mind. That I have any such idea
answering the word UNITY I do not find; and if I had, methinks I could
not miss finding it: on the contrary, it should be the most familiar to
my understanding, since it is said to accompany all other ideas, and to
be perceived by all the ways of sensation and reflexion. To say no more,
it is an ABSTRACT IDEA.

14. A THIRD ARGUMENT AD HOMINEM.--I shall farther add, that, after
the same manner as modern philosophers prove certain sensible
qualities to have no existence in Matter, or without the mind,
the same thing may be likewise proved of all other sensible qualities
whatsoever. Thus, for instance, it is said that heat and cold are
affections only of the mind, and not at all patterns of real beings,
existing in the corporeal substances which excite them, for that
the same body which appears cold to one hand seems warm to another.
Now, why may we not as well argue that figure and extension are not
patterns or resemblances of qualities existing in Matter, because to the
same eye at different stations, or eyes of a different texture at the
same station, they appear various, and cannot therefore be the images of
anything SETTLED AND DETERMINATE WITHOUT THE MIND? Again, it is proved
that SWEETNESS is not really in the sapid thing, because the thing
remaining unaltered the sweetness is changed into bitter, as in case of a
fever or otherwise vitiated palate. Is it not as reasonable to say that
MOTION is not without the mind, since if the succession of ideas in the
mind become swifter, the motion, it is acknowledged, shall appear slower
without any alteration in any exter