Quantum Mechanics and the Philosophy of Language:Reconsideration of Traditional Philosophies

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References

[1] S. Ishikawa, “A New Interpretation of Quantum Mechanics,” Journal of quantum information science, Vol. 1, No. 2, 2011, pp. 35-42.

[2] S. Ishikawa, “Fuzzy Inferences by Algebraic Method,” Fuzzy Sets and Systems, Vol. 87, No. 2, 1997, pp. 181- 200. doi:10.1016/S0165-0114(96)00035-8

[3] S. Ishi-kawa, “A Quantum Mechanical Approach to Fuzzy Theory,” Fuzzy Sets and Systems, Vol. 90, No. 3, 1997, pp. 277-306. doi:10.1016/S0165-0114(96)00114-5

[4] S. Ishikawa, “Sta-tistics in Measurements,” Fuzzy Sets and Systems, Vol. 116, No. 6, 2000, pp. 141-154.
doi:10.1016/S0165-0114(98)00280-2

[5] S. Ishikawa, “Mathematical Foundations of Measurement Theory,” Keio University Press Inc., Yokohama, 2006, pp. 1-335. http://www.keio-up.co.jp/kup/mfomt/

[6] S. Ishikawa, “Dy-namical Systems, Measurements, Quantitative Language and Zeno’s Paradoxes,” Far East Journal of Dynamical Systems, Vol. 10, No. 3, 2008, pp. 277-292.

[7] G. J. Murphy, “C*-Algebras and Operator Theory,” Academic Press, London, 1990.

[8] J. von Neumann, “Mathematical Foundations of Quantum Mechanics,” Springer Verlag, Berlin, 1932.

[9] E. B. Davies, “Quantum Theory of Open Systems,” Academic Press, London, 1976.

[10] A. Einstein, B. Podolosky and N. Rosen, “Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?” Physical Review, Vol. 47, No. 10, 1935, pp. 777-780. doi:10.1103/PhysRev.47.777

[11] N. Bohr, “Can Quan-tum-Mechanical Description of Physical Reality Be Considered Complete?” Physical Review, Vol. 47, No. 8, 1935, pp. 696-702.
doi:10.1103/PhysRev.48.696

[12] K. R. Popper, “The Logic of Scientific Discovery,” Basic Books, Inc., New York, 1959.

[13] A. Kolmogorov, “Foundations of the Theory of Probability (Translation),” 2nd Edition, Chelsea Publishing Co., New York, 1960.

[14] J. M. E. McTaggart, “The Unreality of Time,” Mind (A Quarterly Review of Psychology and Philoso-phy), Vol. 17, 1908, pp. 457-474. doi:10.1093/mind/XVII.4.457

[15] I. Kant, “Critique of Pure Reason,” In: P. Guyer and A. W. Wood, Eds., Cambridge Uni-versity Press, Cambridge, 1999.

[16] S. Ishikawa, T. Arai and T. Kawai, “Numerical Analysis of Trajectories of a Quantum Particle in Two-Slit Experiment,” International Journal of Theoretical Physics, Vol. 33, No. 6, 1993, pp. 1265-1274.
doi:10.1007/BF00670793

[17] J. Mazur, “Motion Paradox, The 2500-Year-Old Puzzle Behind All the Mysteries of Time and Space,” Dutton Adult, Boston, 2007.

[18] J. S. Bell, “On the Einstein-Podolosky-Rosen Paradox,” Physics, Vol. 1, No. 4, 1966, pp. 195-200.

[19] S. Hawking, “A Brief History of Time: From the Big Bang to Black Holes,” Bantam, New York, 1990.

[20] S. Ishikawa, “A Measurement Theoretical Founda-tion of Statistic,” Applied Mathematics, Vol. 3, No. 3, 2012, in Press.

[21] S. Ishikawa, “Ergodic Hypothesis and Equilibrium Statistical Mechanics in the Quantum Mechanical World View,” World Journal of Mechanics, Vol. 2, No. 2, 2012, in Press.