Abstract ( 13.0: Fisher statistic (II) )

Abstract: 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 Chapter 5 (Fisher statistics (I)), we discuss "inference" in the relation of "measurement". In this chapter,

we discuss "inference" in the relation of "measurement" and "causality".
Thus, we devote ourselves to regression analysis. This chapter is extracted from the following:
$(\sharp):$ S. Ishikawa, Mathematical Foundations of Measurement Theory, Keio University Press Inc. 2006.

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: $$ \left\{\begin{array}{ll} \mbox{ ⑦ :the standard interpretation of quantum mechanics} \\ \mbox{ $\qquad$ (i.e., the true colors of the Copenhagen interpretation) } \\ \\ \mbox{ ⑧ : the final goal of the dualistic idealism (Descartes=Kant philosophy) } \\ \\ \mbox{ ⑨ : theoretical statistics of the future } \end{array}\right. $$