A = PBC ꖌ pBc;

but these alternatives cannot be reduced, and the proposition is quite different from

A = BC ꖌ Bc.

Illustrations of the Indirect Method.

A great variety of arguments and logical problems might be introduced here to show the comprehensive character and powers of the Indirect Method. We can treat either a single premise or a series of premises.

Take in the first place a simple definition, such as “a triangle is a three-sided rectilinear figure.” Let

A = triangle
B = three-sided
C = rectilinear figure,

then the definition is of the form

A = BC.

If we take the series of eight combinations of three letters in the Logical Alphabet (p. [94]) and strike out those which are inconsistent with the definition, we have the following result:‍—