Ishikawa, S. (2018) Linguistic Copenhagen Interpretation of Quantum Mechanics; Quantum Language. Research Report, Dept. Math., Keio University, Yokohama, Ver. 4, KSTS/RR-18/002, 449 p.
http://www.math.keio.ac.jp/academic/research_pdf/report/2018/18002.pdf

has been cited by the following article:

• TITLE: Philosophy of Science for Scientists: The Probabilistic Interpretation of Science

  AUTHORS: Shiro Ishikawa

  KEYWORDS: Philosophy of Science, Linguistic Copenhagen Interpretation, Probabilistic Interpretation of Science, Raven Paradox, Problem of Induction, Grue Paradox, Abduction, Flagpole Problem

  JOURNAL NAME: Journal of Quantum Information Science, Vol.9 No.3, September 27, 2019

  ABSTRACT: Recently we proposed “quantum language” (or, “the linguistic Copenhagen interpretation of quantum mechanics”, “measurement theory”) as the language of science. This theory asserts the probabilistic interpretation of science (=the linguistic quantum mechanical worldview), which is a kind of mathematical generalization of Born’s probabilistic interpretation of quantum mechanics. In this paper, we consider the most fundamental problems in philosophy of science such as Hempel’s raven paradox, Hume’s problem of induction, Goodman’s grue paradox, Peirce’s abduction, flagpole problem, which are closely related to measurement. We believe that these problems can never be solved without the basic theory of science with axioms. Since our worldview (=quantum language) has the axiom concerning measurement, these problems can be solved easily. Thus we believe that quantum language is the central theory in philosophy of science. Hence there is a reason to assert that quantum language gives the mathematical foundations to science.