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)
“This crown to crown the laughing man, this rose-wreath crown: I myself have set this crown upon my head, I myself have pronounced my laughter holy.”
—Friedrich Nietzsche (1844–1900)