When, for example, the pupil gains general notions representative of the classes, proper noun and common noun, the new terms merely add something to the intension of the more extensive term noun.
It is to be noted further that as a notion increases in intension it becomes limited to a smaller class of objects.
To attend to the concept and discover its intension as a means for correct judgment evidently demands mental effort.
Although in such cases the lesson seems in a sense to develop new general notions, they represent merely an adding to the intension of a notion already possessed by the child.
A straining, stretching, or bending; the state of being strained; as, the intension of a musical string.
This law is, that the intension of our knowledge is in the inverse ratio of its extension.
The law is that the intension of our knowledge is in the inverse ratio of its extension.
Accordingly its intension must be small for it can include only the qualities common to all animals, which are very few indeed.
Another narrows the intension still further when he defines animal as: "a creature which possesses, or has possessed, life.
The extension and intension of terms has been referred to in the previous chapter.
As the intension increases the extension decreases, and vice versa.
Motors" in intension means instruments to convert some form or manifestation of energy into periodical or cyclical motion of a body.
The meaning of a term in extension consists of the objects to which the term may be applied; its meaning in intension consists of the qualities necessarily possessed by objects bearing that name.
Comparison of arts and instruments with respect to their extension and intension for classification purposes should be made between comparable qualities.
This is no uncommon form of expression, and the intension is from comparative to comparative.
Growth by intension is evidenced by the development of an extant bibliography, categorization of caring conceptualizations, and the further development of human care/caring theories.
It is the men of action, I suppose, who have the greatest extension of life, and sometimes, no doubt, the greatest intension too.
It is a mental necessity that we should make classes and use general terms, and as soon as we do that we fall into immediate danger of unjustifiably increasing the intension of these terms.
But we must guard against such terms and the mental danger of excessive intension they carry with them.
It is clear that when the given term is qualified by a limiting adjective the Denotation or Extension diminishes, while the Connotation or Intension increases; e.
It was sayd of olde, that zeale was an Intension of love: of late, that it is a compound of love and anger, or indignation.
But need we infer because abstract terms are singular that therefore they have no intensionand are mere meaningless marks?
Hence it ought to be said, not that the proper name has no intension, but that it represents a limiting case in which intension is at a minimum.
In fact, the doctrine that abstract terms have no intension would seem, if thought out, to lead to the view that there are only classes of individuals, but no classes of classes.
Hence the true account of abstract terms seems to me to be that we have in them another limiting case, a case in which the extension and the intension are coincident.
So far the followers of Mill seem to have a satisfactory answer to Jevons, when they say, for example, that he confuses the intension of a term with its accidental or acquired associations.
But our concepts, when compared together in judgment, bear logical relations of extension andintension to each other, that is, relations of logical part to logical whole.
Further, the notion of being is the most abstract of all notions, poorest in intension as it is widest in extension.
And it had also never been my intension to remain a teacher of a public or even factory school; I had entirely different plans and still had them on this day.
After all, there was not even the slightest dishonest intension in my mind.
In this case, therefore, extension and intension coincide, and the term is non-connotative.
The only attributes of which it can safely be asserted that they can form no part of the intension of a term are those which are not common to all the things to which the name applies.
Again, since definition is unfolding the intension of a term, it follows that those terms will not admit of being defined whose intension is already so simple that it cannot be unfolded further.
And if the two terms coincide in extension, the predicate must either coincide also in intension with the subject or not.
It will simplify matters to bear in mind that the intension of a term is the same thing as its meaning.
But terms in which intension is the predominant idea are more capable of being defined once for all.
Again, real kinds being known to us primarily in extension, the intension which we attach to the names is hable to be affected by the advance of knowledge.
But when we say that definition is unfolding theintension of terms, it must not be imagined that we are bound in defining to unfold completely the intension of terms.
Again, the term 'not-fish' must be understood either in its intension or in its extension.
It is not meant to apply to the extension and intension of the same term.
This is said with regard to the original intension of proper names; their acquired intension will be considered later.
But as in definition we need not completely unfold the intension of a term, so in division we must not completely unfold its extension.
A predicate which coincides both in extension and intension with its subject is exactly what is meant by a definition.
In such propositions the predicate coincides in extension with the subject, and may be considered to coincide in intension where the intension of both subject and predicate is at zero, as in the case of two proper names.
Footnote 3: It is a plausible contention that in the case of the Singular name the extension is at a minimum and the intension at a maximum, the extension being one individual, and the intension the totality of his attributes.
Both the old habits and the new impulse have been modified in the process just as the intension of a class term and the particular "subsumed" under the class are reciprocally modified in the ordinary judgment of sense-perception.
Intension and extension, definition and division, are clearly correlative; in language previously used, intension is meaning as a principle of identifying particulars; extension is the group of particulars identified and distinguished.
