Knowledge of this kind is called a priori,
in contradistinction to empirical knowledge, which has its sources a
posteriori, that is, in experience.
But the expression, "a priori," is not as yet definite enough adequately
to indicate the whole meaning of the question above started. For, in
speaking of knowledge which has its sources in experience, we are wont
to say, that this or that may be known a priori, because we do not
derive this knowledge immediately from experience, but from a general
rule, which, however, we have itself borrowed from experience. Thus,
if a man undermined his house, we say, "he might know a priori that
it would have fallen;" that is, he needed not to have waited for the
experience that it did actually fall. But still, a priori, he could not
know even this much. For, that bodies are heavy, and, consequently, that
they fall when their supports are taken away, must have been known to
him previously, by means of experience.
By the term "knowledge a priori," therefore, we shall in the sequel
understand, not such as is independent of this or that kind of
experience, but such as is absolutely so of all experience. Opposed
to this is empirical knowledge, or that which is possible only a
posteriori, that is, through experience. Knowledge a priori is either
pure or impure. Pure knowledge a priori is that with which no empirical
element is mixed up. For example, the proposition, "Every change has
a cause," is a proposition a priori, but impure, because change is a
conception which can only be derived from experience.
The question now is as to a criterion, by which we may securely
distinguish a pure from an empirical cognition. Experience no doubt
teaches us that this or that object is constituted in such and such a
manner, but not that it could not possibly exist otherwise. Now, in
the first place, if we have a proposition which contains the idea
of necessity in its very conception, it is as if, moreover, it is not
derived from any other proposition, unless from one equally involving
the idea of necessity, it is absolutely priori. Secondly, an empirical
judgement never exhibits strict and absolute, but only assumed and
comparative universality (by induction); therefore, the most we can say
is--so far as we have hitherto observed, there is no exception to this
or that rule. If, on the other hand, a judgement carries with it strict
and absolute universality, that is