Bell ’ s inequality is violated in classical systems as well as quantum systems by Shiro

Bell’s inequality itself is usually considered to belong to mathematics and not quantum mechanics. We think that this is making our understanding of Bell’ theory be confused. Thus in this paper, contrary to Bell’s spirit (which inherits Einstein’s spirit), we try to discuss Bell’s inequality in the framework of quantum theory with the linguistic Copenhagen interpretation. And we clarify that the violation of Bell’s inequality (i.e., whether or not Bell’s inequality holds ) does not depend on whether classical systems or quantum systems, but depend on whether a kind of simultaneous measurements exist or not. And further we conclude that our argument ( based on the linguistic Copenhagen interpretation) should be regarded as a scientific representation of Bell’s philosophical argument (based on Einstein’s spirit). Key phrases: Bohr-Einstein debates, Bell’s inequality, Combined observable, Linguistic Copenhagen interpretation, Quantum Language 1 Review: Quantum language (= Measurement theory (=MT) ) 1.