The theory of inference for statement calculus in reference of composition mappings and relation matrix

Abstract

BIn this article we prove that set of Complex numbers C= a+ib ; where a,b є R and i= imaginary number also know as by iota (i= √-1), is the set of largest number, while set of Natural numbers N={1,2,3….n……} is the set of least numbers by compositions of mappings or product of mappings. We verify the inclusion relation N ⊂ W ⊂ I ⊂ Q ⊂ R ⊂ C or C⊃R ⊃ Q ⊃ I ⊃ W ⊃ N by relation matrix and graph of relation.