The movement of the Synthetic method is the reverse of the Analytical
method. The latter starts from the individual, and proceeds to the
universal; in the former the starting-point is given by the universal
(as a definition), from which we proceed by particularising (in
division) to the individual (the theorem). The Synthetic method thus
presents itself as the development of the 'moments' of the notion on
the object.
229.] (α) When the object has been in the first instance brought by
cognition into the form of the specific notion in general, so that
in this way its genus and its universal character or speciality are
explicitly stated, we have the Definition. The materials and the
proof of Definition are procured by means of the Analytical method (§
227). The specific character however is expected to be a 'mark' only:
that is to say it is to be in behoof only of the purely subjective
cognition which is external to the object.
* * * * *
Definition involves the three organic elements of the
notion: the universal or proximate genus _genus proximum,_
the particular or specific character of the genus (_qualitas
specified,_) and the individual, or object defined.--The first
question that definition suggests, is where it comes from.
The general answer to this question is to say, that definitions
originate by way of analysis. This will explain how it
happens that people quarrel about the correctness of proposed
definitions; for here everything depends on what
perceptions we started from, and what points of view we
had before our eyes in so doing. The richer the object to
be defined is, that is, the more numerous are the aspects
which it offers to our notice, the more various are the definitions
we may frame of it. Thus there are quite a host of
definitions of life, of the state, &c. Geometry, on the contrary,
dealing with a theme so abstract as space, has an easy
task in giving definitions. Again, in respect of the matter or
contents of the objects defined, there is no constraining
necessity present. We are expected to admit that space
exists, that there are plants, animals, &c, nor is it the business
of geometry, botany, &c. to demonstrate that the objects
in question necessarily are. This very circumstance makes
the synthetical method of cognition as little suitable for
philosophy as the analytical: for philosophy has above all
things to leave no doubt of the necessity of its objects. And
yet several attempts have been made to introduce the synthetical
method into philosophy. Thus Spinoza, in particular,
begins with definitions. He says, for instance, that
substance is the _causa sui._ His definitions are unquestionably
a storehouse of the most speculative truth, but it takes the
shape of dogmatic assertions. The same thing is also true
of Schelling.
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