ideas, is not infinitely divisible, nor consists of an infinite number of
parts: For that exceeds the comprehension of our limited capacities. Here
then is an idea of extension, which consists of parts or inferior ideas,
that are perfectly, indivisible: consequently this idea implies no
contradiction: consequently it is possible for extension really to exist
conformable to it: and consequently all the arguments employed against
the possibility of mathematical points are mere scholastick quibbles, and
unworthy of our attention.

These consequences we may carry one step farther, and conclude that all
the pretended demonstrations for the infinite divisibility of extension
are equally sophistical; since it is certain these demonstrations cannot
be just without proving the impossibility of mathematical points; which
it is an evident absurdity to pretend to.



SECT. III. OF THE OTHER QUALITIES OF OUR IDEA OF SPACE AND TIME.


No discovery coued have been made more happily for deciding all
controversies concerning ideas, than that abovementioned, that
impressions always take the precedency of them, and that every idea, with
which the imagination is furnished, first makes its appearance in a
correspondent impression. These latter perceptions are all so clear and
evident, that they admit of no controversy; though many of our ideas are
so obscure, that it is almost impossible even for the mind, which forms
them, to tell exactly their nature and composition. Let us apply this
principle, in order to discover farther the nature of our ideas of space
and time.