The true use of the conceptions of reflection in the employment of the
understanding has, as we have shown, been so misconceived by Leibnitz,
one of the most acute philosophers of either ancient or modern times,
that he has been misled into the construction of a baseless system of
intellectual cognition, which professes to determine its objects
without the intervention of the senses. For this reason, the exposition
of the cause of the amphiboly of these conceptions, as the origin of
these false principles, is of great utility in determining with
certainty the proper limits of the understanding.
It is right to say whatever is affirmed or denied of the whole of a
conception can be affirmed or denied of any part of it (dictum de omni
et nullo); but it would be absurd so to alter this logical proposition
as to say whatever is not contained in a general conception is likewise
not contained in the particular conceptions which rank under it; for
the latter are particular conceptions, for the very reason that their
content is greater than that which is cogitated in the general
conception. And yet the whole intellectual system of Leibnitz is based
upon this false principle, and with it must necessarily fall to the
ground, together with all the ambiguous principles in reference to the
employment of the understanding which have thence originated.
Leibnitz’s principle of the identity of indiscernibles or
indistinguishables is really based on the presupposition that, if in
the conception of a thing a certain distinction is not to be found, it
is also not to be met with in things themselves; that, consequently,
all things are completely identical (numero eadem) which are not
distinguishable from each other (as to quality or quantity) in our
conceptions of them. But, as in the mere conception of anything
abstraction has been made of many necessary conditions of intuition,
that of which abstraction has been made is rashly held to be
non-existent, and nothing is attributed to the thing but what is
contained in its conception.