Exemplars


Application of the Law of Requisite Variety as an Example of One of the Consequences of Bremerman's Limit:

"Achieving coordination in maneuver means that the total set of all possible combinations of movement (including those that lead at once to collision) are to be restricted to a special subset of the combinations (those combinations approved by naval strategy.) Achieving the restriction demands the corresponding quantity of transmission (by Shannon's tenth theorem or by the Law of Requisite Variety.) Thus, to be more definite, suppose that there are 100 ships, that the only requirement in maneuver is that all ships shall turn in the same direction, and that the signaller's total capacity as a channel provides 200 bits per course-setting. Such a fleet can coordinate its direction to the degree of choosing between port, starboard, and ahead (for 99[log2 3] is less than 200) but no distribution of signallers or arrangement of coding can refine the selection of direction to adding half-to-port and half-to-starboard (for these would require 99[log2 5] bits, which is greater than the 200 bits available). Thus, the existence of a limit to the total quantity of information transmissible puts an absolute limit to the amount of regulation or control achievable." 16