A Class Room Logic: Deductive and Inductive, with Special Application to the Science and Art of TeachingMcNair, George Hastings
Philosophy
A Class Room Logic: Deductive and Inductive, with Special Application to the Science and Art of Teaching
McNair, George Hastings
Logic
{ (1) squares
(1) four sides } common qualities of { (2) rhombs
(2) parallel sides } { (3) rectangles
{ (4) rhomboids
{ (1) squares
{ (2) rhombs
(1) four sides } common qualities of { (3) rectangles
{ (4) rhomboids
{ (5) trapezoids
{ (6) trapeziums
II.
{ (1) nebulae
{ (2) fixed stars
(1) heavenly body } common qualities of { (3) sun
{ (4) comets
{ (5) meteors
{ (6) moon
{ (1) nebulae
(1) heavenly body } common qualities of { (2) fixed stars
(2) self-luminous } { (3) sun
{ (4) comets
(1) heavenly body } { (1) nebulae
(2) self-luminous } common qualities of { (2) fixed stars
(3) fixed } { (3) sun
(1) heavenly body }
(2) self-luminous } common qualities of { (1) nebulae
(3) fixed } { (2) fixed stars
(4) twinkle }
(1) heavenly body }
(2) self-luminous }
(3) fixed } common qualities of { (1) nebulae
(4) twinkle }
(5) foggy }
In considering the first illustration we observe that as the number of
qualities is decreased, the number of objects increases. While in the
second example as the qualities are increased, the number of objects
decreases. It would appear from this that the intension and extension
of a term are _inversely_ related to each other. As the one increases
the other decreases and _vice versa_. It is customary to state this
relation in the form of a law known as the law of variation. “_As the
intension of a term is increased its extension is decreased and vice
versa_,” or the extension and intension of a term vary in an inverse
ratio to each other. To further illustrate: this _book_ refers to a
large number of objects; add to the qualities of book those of _text
book_ and the application is much reduced. In other words as we
increase the intension, the extension is diminished. Increase the
intension further by adding the quality _English_ text book and the
extension becomes still less.
=6a. TWO IMPORTANT FACTS IN THE LAW OF VARIATION.=
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