Inhabited Set

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)

    When parents fail to set appropriate limits, children may feel more vulnerable at night: the aggressive urges that have not been “tamed” by day may be terrifying to a small child alone in the dark.
    Cathy Rindner Tempelsman (20th century)