Leibniz-Clarke Correspondence, Brain in a Vat, Five-Minute Hypothesis, McTaggart’s Paradox, etc. Are Clarified in Quantum Language
- 1 Department of Mathematics, Faculty of Science and Technology, Keio University, Yokohama, Japan
Abstract
Recently we proposed “quantum language” (or, “the linguistic Copenhagen interpretation of quantum mechanics”), which was not only characterized as the metaphysical and linguistic turn of quantum mechanics but also the linguistic turn of Descartes = Kant epistemology. We believe that quantum language is not only the scientific final goal of dualistic idealism but also the language in which science is written. Hence there is a reason to want to clarify, from the quantum linguistic point of view, the following problems: “brain in a vat argument”, “the Cogito proposition”, “five-minute hypothesis”, “only the present exists”, “Copernican revolution”, “McTaggart’s paradox”, and so on. In this paper, these will be discussed in quantum language. And we clarify that these are not propositions in quantum language. That is, these are metaphysical and not scientific. Also, we emphasize that Leibniz’s relationalism in Leibniz-Clarke correspondence should be regarded as one of the most important parts of the linguistic Copenhagen interpretation of quantum mechanics.
- Alexander, H. G. (Ed.) (1956). The Leibniz-Clarke Correspondence. Manchester: Manchester University Press.
- Bohr, N. (1935). Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? Physical Review, 48, 696-702. https://doi.org/10.1103/PhysRev.48.696
- Davies, E. B. (1976). Quantum Theory of Open Systems. New York: Academic Press.
- Einstein, A., Podolosky, B., & Rosen, N. (1935). Can Quantum-Mechanical Description of Reality Be Considered Completely? Physical Review, 2, 777-780. https://doi.org/10.1103/PhysRev.47.777
- Howard, D. (2004). Who Invented the “Copenhagen Interpretation”? A Study in Mythology. Philosophy of Science, 71, 669-682. https://doi.org/10.1086/425941
- Ishikawa, S. (2006). Mathematical Foundations of Measurement Theory (335 p). Tokyo: JKeio University Press Inc. http://www.keio-up.co.jp/kup/mfomt/
- Ishikawa, S. (2011). A New Interpretation of Quantum Mechanics. Journal of Quantum Information Science, 1, 35-42. https://doi.org/10.4236/jqis.2011.12005
- Ishikawa, S. (2012a). Quantum Mechanics and the Philosophy of Language: Reconsideration of Traditional Philosophies. Journal of Quantum Information Science, 2, 2-9. https://doi.org/10.4236/jqis.2012.21002
- Ishikawa, S. (2012b). The Linguistic Interpretation of Quantum Mechanics. arXiv:1204.3892v1[physics.hist-ph]
- Ishikawa, S. (2012c). A Measurement Theoretical Foundation of Statistics. Applied Mathematics, 3, 283-292. https://doi.org/10.4236/am.2012.33044
- Ishikawa, S. (2012d). Monty Hall Problem and the Principle of Equal Probability in Measurement Theory. Applied Mathematics, 3, 788-794. https://doi.org/10.4236/am.2012.37117
- Ishikawa, S. (2012e). Ergodic Hypothesis and Equilibrium Statistical Mechanics in the Quantum Mechanical World View. World Journal of Mechanics, 2, 125-130. https://doi.org/10.4236/wjm.2012.22014
- Ishikawa, S. (2015a). Linguistic Interpretation of Quantum Mechanics; Projection Postulate. Journal of Quantum Information Science, 5, 150-155. https://doi.org/10.4236/jqis.2015.54017
- Ishikawa, S. (2015b). Linguistic Interpretation of Quantum Mechanics; Quantum Language (416 p). Research Report, Department of Mathematics, Keio University, [Ver.1]; KSTS/RR-15/001. http://www.math.keio.ac.jp/academic/research_pdf/report/2015/15001.pdf