%0 Journal Article %T Philosophy of Science for Scientists: The Probabilistic Interpretation of Science %A Shiro Ishikawa %J Journal of Quantum Information Science %P 123-154 %@ 2162-576X %D 2019 %I Scientific Research Publishing %R 10.4236/jqis.2019.93007 %X 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. %K Philosophy of Science %K Linguistic Copenhagen Interpretation %K Probabilistic Interpretation of Science %K Raven Paradox %K Problem of Induction %K Grue Paradox %K Abduction %K Flagpole Problem %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=95447