2. EXTENSION AND INTENSION DEFINED.
This double function of connotative terms furnishes an important topic for the student of logic—the Extension and Intension of Terms. In short, some authorities claim that to master the extension and intension of terms is virtually to master the entire subject of logic. Though this position may be an exaggerated one, yet it tends to emphasize the importance of the topic.
A term is used in extension when it is employed with reference to the objects for which the term stands.
When the term triangle is used to refer to the objects isosceles triangle, scalene triangle, right triangle, it is employed in extension.
A term is used in intension when it is employed with reference to the attributes for which the term stands.
The term triangle is employed in intension when we use it to refer to the qualities, three sided and three angled.
3. EXTENDED COMPARISON OF EXTENSION AND INTENSION.
A connotative term seems to be two dimensional—it has extent or length and intent or depth.
“Extension consists of the things to which the term applies,” while “intension consists of the properties which the term implies.”
Extension is quantitative, while intension is qualitative. An extensional use means to point out or numberobjects, while an intensional use means to describe by naming qualities. To name is to use a term in extension—to describe is to use a term in intension.