4. DEFINITION AND DIVISION COMPARED.
We have learned that general terms when connotative may be used extensionally or intensionally.
A definition indicates the intensional nature of a term, while a statement which points out the extensional nature of a term is known as logical division. More briefly: A definition is an intensional statement of the nature of the term, while logical division is an extensional statement of the nature of the term.
To illustrate: The following statements are definitions:
(1) A dog is a domesticated quadruped of the genus canis and given to barking.
(2) A quadrilateral is a rectilinear figure of four sides.
(3) Soil is a substance composed of pulverized rock and decayed vegetable matter in which plants will grow.
The following represent Logical Division:
(1) Dogs are divided into hounds, terriers, bull, etc.
(2) The kinds of quadrilaterals are trapeziums, trapezoids and parallelograms.
(3) The various soils are loam, sand, clay, muck, etc.