the whole is greater than the sum of its parts is the motto of the
Gestalt psychology This principle maintains that when the human mind (perceptual system) forms a percept or "gestalt", the whole has a reality of its own, independent of the parts. The original famous phrase of Gestalt psychologist Kurt Koffka, "the whole is something else than the sum of its parts"[2] is often incorrectly translated[3] as "The whole is greater than the sum of its parts", and thus used when explaining gestalt theory, and further incorrectly applied to systems theory.[4] Koffka did not like the translation. He firmly corrected students who replaced "other" with "greater". "This is not a principle of addition" he said.[5] The whole has an independent existence.
Upper and lower bounds In mathematics, especially in order theory, an upper bound of a subset S of some partially ordered set (K, â‰¤) is an element of K which is greater than or equal to every element of S.[1] The term lower bound is defined dually as an element of K which is less than or equal to every element of S. A set with an upper bound is said to be bounded from above by that bound, a set with a lower bound is said to be bounded from below by that bound. The terms bounded above (bounded below) are also used in the mathematical literature for sets that have upper (respectively lower) bounds.