Page:The World as Will and Idea - Schopenhauer, tr. Haldane and Kemp - Volume 1.djvu/98

56 THE WORLD AS IDEA. (3.) A sphere includes two or more spheres which exclude each other and fill it.

(4.) Two spheres include each a part of the other.

(5.) Two spheres lie in a third, but do not fill it.

This last case applies to all concepts whose spheres have nothing immediately in common, for there is always a third sphere, often a much wider one, which includes both.

To these cases all combinations of concepts may be referred, and from them the entire doctrine of the judgment, its conversion, contraposition, equipollence, disjunction (this according to the third figure) may be deduced