Causation; Knowledge, Theory of; Philosophy, German; Reason
1. Identity and Difference. When an object is presented to us several
times, but always with the same internal determinations (qualitas et
quantitas), it, if an object of pure understanding, is always the same,
not several things, but only one thing (numerica identitas); but if a
phenomenon, we do not concern ourselves with comparing the conception
of the thing with the conception of some other, but, although they may
be in this respect perfectly the same, the difference of place at the
same time is a sufficient ground for asserting the numerical difference
of these objects (of sense). Thus, in the case of two drops of water,
we may make complete abstraction of all internal difference (quality
and quantity), and, the fact that they are intuited at the same time in
different places, is sufficient to justify us in holding them to be
numerically different. Leibnitz regarded phenomena as things in
themselves, consequently as intelligibilia, that is, objects of pure
understanding (although, on account of the confused nature of their
representations, he gave them the name of phenomena), and in this case
his principle of the indiscernible (principium identatis
indiscernibilium) is not to be impugned. But, as phenomena are objects
of sensibility, and, as the understanding, in respect of them, must be
employed empirically and not purely or transcendentally, plurality and
numerical difference are given by space itself as the condition of
external phenomena. For one part of space, although it may be perfectly
similar and equal to another part, is still without it, and for this
reason alone is different from the latter, which is added to it in
order to make up a greater space. It follows that this must hold good
of all things that are in the different parts of space at the same
time, however similar and equal one may be to another.
2. Agreement and Opposition. When reality is represented by the pure
understanding (realitas noumenon), opposition between realities is
incogitable—such a relation, that is, that when these realities are
connected in one subject, they annihilate the effects of each other and
may be represented in the formula 3 -3 = 0. On the other hand, the real
in a phenomenon (realitas phaenomenon) may very well be in mutual
opposition, and, when united in the same subject, the one may
completely or in part annihilate the effect or consequence of the
other; as in the case of two moving forces in the same straight line
drawing or impelling a point in opposite directions, or in the case of
a pleasure counterbalancing a certain amount of pain.
Public-domain text, read in full here on John Shaqi.
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