The early success of logic must be attributed exclusively to the
narrowness of its field, in which abstraction may, or rather must, be
made of all the objects of cognition with their characteristic
distinctions, and in which the understanding has only to deal with
itself and with its own forms. It is, obviously, a much more difficult
task for reason to strike into the sure path of science, where it has
to deal not simply with itself, but with objects external to itself.
Hence, logic is properly only a _propædeutic_—forms, as it were, the
vestibule of the sciences; and while it is necessary to enable us to
form a correct judgement with regard to the various branches of
knowledge, still the acquisition of real, substantive knowledge is to
be sought only in the sciences properly so called, that is, in the
objective sciences.
Now these sciences, if they can be termed rational at all, must contain
elements of _à priori_ cognition, and this cognition may stand in a
twofold relation to its object. Either it may have to _determine_ the
conception of the object—which must be supplied extraneously, or it may
have to _establish its reality_. The former is _theoretical_, the
latter _practical_, rational cognition. In both, the _pure_ or _à
priori_ element must be treated first, and must be carefully
distinguished from that which is supplied from other sources. Any other
method can only lead to irremediable confusion.
_Mathematics_ and _physics_ are the two theoretical sciences which have
to determine their objects _à priori_. The former is purely _à priori_,
the latter is partially so, but is also dependent on other sources of
cognition.