Logic as the Science of the Pure ConceptCroce, Benedetto
Philosophy
Logic as the Science of the Pure Concept
Croce, Benedetto
Logic
Above all, certain distinctions, which in the doctrine of the pure
concepts have been seen to be without significance or importance,
find their significance in the doctrine of the pseudoconcepts. We
understand, for instance, how and why _identical_ concepts can be
discussed; since, in the field of caprice, one and the same thing,
or one and the same not-thing, can be defined in different ways
and give rise to two or more concepts which, owing to the identity
of their matter, are thus identical. The concept of a figure having
three angles, or that of a figure having three sides, are identical
concepts, alike applicable to the triangle; the concept of 3 x 4 and
that of 6 x 2 are identical, since both are definitions of the number
12; the concept of a feline domestic animal and that of a domestic
animal that eats mice are identical, both being definitions of the cat.
It is likewise clear how and why _primary_ and _derived, simple_ and
_compound_ concepts are discussed; for our arbitrary choice, by forming
certain concepts and making use of these to form others, comes to posit
the first as simple and primitive in relation to the second, which are,
in their turn, to be considered as compound or secondary.
[Sidenote: _The subordination and co-ordination of the empirical
concepts._]
We have already seen that the arbitrary concept differs from the pure
concept in that, of necessity, it produces two forms by the two acts of
empiricism and emptiness and thereby gives rise to two different types
of formations, empirical and abstract concepts. Empirical concepts
have this property, that in them unity is outside distinction and
distinction outside unity. And it is natural: for if it were the case
that these two determinations penetrated one another, the concepts
would be, as we have already noted, not arbitrary, but necessary and
true. If the distinction is placed outside the unity, every division
that is given of it is, like the concepts themselves, arbitrary;
and every enumeration is also arbitrary, because those concepts can
be infinitely multiplied. In exchange for the rationally determined
and completely unified distinctions of the pure concepts, the
pseudoconcepts offer multiple groups, arbitrarily formed, and sometimes
also unified in a single group, which embraces the entire field of the
knowable, but in such a way as not to exclude an infinite number of
other ways of apprehending it.
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