Connotation
Connotation
The sum of the constitutive notes of the essence of a concept as it is in itself and not as it is for us. This logical property is thus measured by the sum of the notes of the concept, of the higher genera it implies, of the various essential attributes of its nature as such. This term is synonymous with intension and comprehension; yet, the distinctions between them have been the object of controversies.
J. S. Mill identifies connotation with signification and meaning, and includes in it much less than under comprehension or intension. The connotation of a general term (singular terms except descriptions are non-connotative) is the aggregate of all the other general terms necessarily implied by it is an abstract possibility and apart from exemplification in the actual world. It cannot be determined by denotation because necessity does not always refer to singular facts. Logicians who adopt this view distinguish connotation from comprehension by including in the latter contingent characters which do not enter in the former. Comprehension is thus the intensional reference of the concept, or the reference to universals of both general and singular terms. The determination of the comprehension of a concept is helped by its denotation, considering that reference is made also to singular, contingent, or particular objects exhibiting certain characteristics. In short, the connotation of a concept is its intensional reference determined intensionally; while its comprehension is its intensional reference extensionally determined.
It may be observed that such a distinction and the view that the connotation of a concept contains only the notes which serve to define it, involves the nominalist principle that a concept may be reduced to what we are actually and explicitely thinking about the several notes we use to define it. Thus the connotation of a concept is much poorer than its actual content. Though the value of the concept seems to be saved by the recognition of its comprehension, it may be argued that the artificial introduction into the comprehension of both necessary and contingent notes, that is of actual and potential characteristics, confuses and perverts the notion of connotation as a logical property of our ideas.
See Intension. — T.G.