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:
“Do you still believe it impossible we exist? You didn’t actually think you were the only inhabited planet in the universe. How can any race be so stupid?”
—Edward D. Wood, Jr. (1922–1978)
“The ladies understood each other, in the careful way that ladies do once they understand each other. They were rather a pair than a couple, supporting each other from day to day, rather a set of utile, if ill-matched, bookends between which stood the opinion and idea in the metaphorical volumes that both connected them and kept them apart.”
—Alexander Theroux (b. 1940)