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)
“There is no intrinsic worth in money but what is alterable with the times, and whether a guinea goes for twenty pounds or for a shilling, it is ... the labour of the poor and not the high and low value that is set on gold or silver, which all the comforts of life must arise from.”
—Bernard Mandeville (1670–1733)