[Abstract of Chap 3]. Measurement theory (= quantum language ) is formulated as follows. \[ \underset{\mbox{ (=quantum language)}}{\fbox{pure measurement theory (A)}} := \underbrace{ \underset{\mbox{ (\(\S\)2.7)}}{ \overset{ [\mbox{ (pure) Axiom 1}] }{\fbox{pure measurement}} } + \underset{\mbox{ ( \(\S \)10.3)}}{ \overset{ [{\mbox{ Axiom 2}}] }{\fbox{Causality}} } }_{\mbox{ a kind of incantation (a priori judgment)}} + \underbrace{ \underset{\mbox{ (\(\S\)3.1) }} { \overset{ {}}{\fbox{Linguistic interpretation}} } }_{\mbox{ the manual on how to use spells}} \] In the previous chapter (= Chap. 2 ), Axiom 1 was intruduced. In this chapter, I introduce "the linguistic interpretation", which is characterized as the manual on how to use axioms 1 and 2. Measurement theory says that

I believe that the Copenhagen interpretation is the ture color of the linguistic interpretation. And thus, it is also called "the linguistic Copenhagen interpretation". Since we dealt with simple examples in the previous chapter, we did not need the linguistic interpretation. In this chapter, we study several a little difficult problems under the linguistic interpretation.

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Again recall that, as mentioned in $\S$1.1, the main purpose of this book is to assert the following figure 1.1: Fig.1.1: the location of "quantum language" in the world-views This(particularly, ⑦--⑨) implies that quantum language has the following three aspects: $$ \left\{\begin{array}{ll} \mbox{ ⑦ :the standard interpretation of quantum mechanics} \\ \mbox{ $\qquad$ (i.e., the true colors of the Copenhagen interpretation) } \\ \\ \mbox{ ⑧ : the final goal of the dualistic idealism (Descartes=Kant philosophy) } \\ \\ \mbox{ ⑨ : theoretical statistics of the future } \end{array}\right. $$