3. Thus the existence of necessary truths, such as those of
geometry, proves that the idea of space from {93} which they
flow is not derived from experience. Such truths are
inconceivable on the supposition of their being collected
from observation; for the impressions of sense include no
evidence of necessity. But we can readily understand the
necessary character of such truths, if we conceive that
there are certain necessary conditions under which alone the
mind receives the impressions of sense. Since these
conditions reside in the constitution of the mind, and apply
to every perception of an object to which the mind can
attain, we easily see that their rules must include, not
only all that has been, but all that can be, matter of
experience. Our sensations can each convey no information
except about itself; each can contain no trace of another
additional sensation; and thus no relation and connexion
between two sensations can be given by the sensations
themselves. But the mode in which the mind perceives these
impressions as objects, may and will introduce necessary
relations among them: and thus by conceiving the idea of
space to be a condition of perception in the mind, we can
conceive the existence of necessary truths, which apply to
all perceived objects.
4. If we consider the impressions of sense as the mere
materials of our experience, such materials may be
accumulated in any quantity and in any order. But if we
suppose that this matter has a certain form given it, in the
act of being accepted by the mind, we can understand how it
is that these materials are subject to inevitable
rules;--how nothing can be perceived exempt from the
relations which belong to such a form. And since there are
such truths applicable to our experience, and arising from
the nature of space, we may thus consider space as a _form_
which the materials given by experience necessarily assume
in the mind; as an arrangement derived from the perceiving
mind, and not from the sensations alone.
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