986.030 Abstraction

986.031 The scientific generalized eternal principle of leverage can be experientially demonstrated, and its rate of lifting-advantage-gain per each additional modular increment of lifting-arm length can be mathematically expressed to cover any and all special case temporal realizations of the leverage principle. Biological species can be likewise generalizingly defined. So in many ways humanity has been able to sort out its experiences and identify various prominent sets and subsets of interrelationship principles. The special-case “oriole on the branch of that tree over there,” the set of all the orioles, the class of all birds, the class of all somethings, the class of all anythings any one of which anythings is known as X …that life’s experiences lead to the common discovery of readily recognized, differentiated, and remembered generalizable sets of constantly manifest residual interrelationship principles swiftly persuaded mathematical thinkers to adopt the symbolism of algebra, whose known and unknown components and their relationships could be identified by conveniently chosen empty-set symbols. The intellectuals call this abstraction.

986.032 Abstraction led to the discovery of a generalized family of plus- and-minus interrelationship phenomena, and these generalized interrelationships came to be expressed as ratios and equations whose intermultiplicative, divisible, additive, or subtractive results couldor mightbe experimentally (objectively) or experientially (subjectively) verified in substantive special case interquantation relationships.