 Note that in the context of intervals in the space of real numbers and occasionally regions in a Euclidean space formula_115 a bounded set is referred to as "a finite interval" or "finite region".However boundedness should not in general be confused with "finite", which refers to the number of elements, not to how far the set extends; finiteness implies boundedness, but not conversely.Also note that an unbounded subset of formula_115 may have a finite volume.