Interpolative realization of Boolean algebra

Abstract

Classical (Aristotelian) two-valued realization of Boolean algebra is based on two-elements Boolean algebra as its homomorphism. So, calculus and/or arithmetic for two valued case is Boolean algebra of two-elements. Interpolative Boolean algebra is MV realization of finite Boolean algebra and/or it is consistent generalization of classical two-valued realization. New approach is devoted to treating gradation in logic, theory of sets, and generally relations