Inhabited Set
In constructive mathematics, a set A is inhabited if there exists an element . In classical mathematics, this is the same as the set being nonempty; however, this equivalence is not valid in intuitionistic logic.
Read more about Inhabited Set: Comparison With Nonempty Sets, Example
Famous quotes containing the words inhabited and/or set:
“... each of them is inhabited by a bland demon, as the German metaphysicians used to call that which gets into a man and makes him creative, not so forcibly that it turns them away from criticism, but valid enough to give them the right to speak with the authority of artists.”
—Rebecca West (1892–1983)
“The apple tree has been celebrated by the Hebrews, Greeks, Romans, and Scandinavians. Some have thought that the first human pair were tempted by its fruit. Goddesses are fabled to have contended for it, dragons were set to watch it, and heroes were employed to pluck it.”
—Henry David Thoreau (1817–1862)