We should think in this treatise over Husserl's theory of the ‘definite multiplicity’. The‘Definiteness’is interpreted generally in three different meanings. ―――――― D1: inextensibility. D2: decidability. D3: semantic completeness. It should be insisted that D3 is not necessary. Husserl reduces the concept in mathematics‘true’to the ‘proved-through-axioms’, and the concept ‘false’ to the ‘re