§ 163. The other kind of singular terms, namely, designations (§ 113)
are obviously connotative. We cannot employ even the simplest of them
without conveying more or less information about the qualities of the
thing which they are used to denote. When, for instance, we say 'this
table,' 'this book,' we indicate the proximity to the speaker of the
object in question. Other designations have a higher degree of
intension, as when we say 'the present prime minister of England,'
'the honourable member who brought forward this motion to-night.'
Such terms have a good deal of significance in themselves, apart from
any knowledge we may happen to possess of the individuals they denote.
§ 164. We have seen that, speaking quite strictly, there are no terms
which are non-connotative: but, for practical purposes, we may apply
the expression to proper names, on the ground that they possess no
intension, and to singular abstract terms on the ground that their
extension and intension coincide. In the latter case it is indifferent
whether we call the quantity extension or intension. Only we cannot
call it 'connotation,' because that implies two quantities distinct
from one another. A term must already denote a subject before it can
be said to connote its attributes.
§ 165. The division of terms into connotative and non-connotative is
based on their possession of one quantity or two.
CHAPTER IV.
_Of the Law of Inverse Variation of Extension and Intension._
§ 166. In a series of terms which fall under one another, as the
extension decreases, the intension increases, and vice versâ. Take for
instance the following series--
Thing
|
Substance
|
Matter
|
Organism
|
Animal
|
Vertebrate
|
Mammal
|
Ruminant
|
Sheep
|
This sheep.
Here the term at the top possesses the widest possible extension,
since it applies to everything. But at the same time it possesses the
least possible amount of intension, implying nothing more than mere
existence, whether in fact or thought. On the other hand, the term at
the bottom possesses the greatest amount of intension, since it
implies all the attributes of, an individual superadded to those of
the class to which it belongs: but its extension is the narrowest
possible, being limited to one thing.
§ 167. At each step in the descent from the term at the top, which is
called the 'Summum genus,' to the individual, we decrease the
extension by increasing the intension. Thus by adding on to the bare
notion of a thing the idea of independent existence, we descend to the
term 'substance,' This process is known as Determination, or
Specialisation.
§ 168. Again, by withdrawing our attention from the individual
characteristics of a particular sheep, and fixing it upon those which
are common to it with other animals of the same kind, we arrive at the
common term, 'sheep.' Here we have increased the extension by
decreasing the intension. This process is known as Generalisation.
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