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A Mathematical Approach to the Interpretation Problem

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Abstract

Experts apply classical statistics and Bayesian statistics in a myriad of situations and this apparent, global fact inspired some thoughts in me which I summarize as follows.

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References

  • Albert, Z. D. (2009). Quantum Mechanics and Experience. Cambridge: Harward University Press.

    Google Scholar 

  • Ball D. (2002). Physical Chemistry. California: Brooks/Cole.

    Google Scholar 

  • Borel, E. (1909). Les Probabilités Dénombrables et Leurs Applications Arithmetique. Rendiconti del Circolo Matematico di Palermo, 2(27), 247–271.

    Article  MathSciNet  Google Scholar 

  • Doob, J. (1996). The development of Rigor in mathematical probability (1900–1950). The American Mathematical Monthly, 103(7), 586–595.

    Article  MATH  MathSciNet  Google Scholar 

  • Dunn, P. K. (2005). We can still learn about probability by rolling dice and tossing coins. Teaching Statistics, 27, 37–41.

    Article  Google Scholar 

  • Gigerenzer G. (1989). The Empire of Chance: How Probability Changed Science and Everyday Life. Cambridge: Cambridge University Press.

    Google Scholar 

  • Givant S., Halmos P. (2010). Introduction to Boolean Algebras. New York: Springer.

    Google Scholar 

  • Langsdorf A. S. (2001). Theory of Alternating Current Machinery. New York: McGraw–Hill.

    Google Scholar 

  • Popper, K. R. (1938). A set of independent axioms for probability. Mind, 47(186), 275–277.

    Article  Google Scholar 

  • Popper, K. R. (1954). Degree of confirmation. The British Journal for the Philosophy of Science, 5(18), 143–149.

    Article  MathSciNet  Google Scholar 

  • Popper, K. R. (1959). The propensity interpretation of probability. The British Journal for the Philosophy of Science, 10(37), 25–42.

    Article  Google Scholar 

  • Popper K. R. (2002). The Logic of Scientific Discovery. London: Routledge.

    Google Scholar 

  • Royden H., Fitzpatrick P. (2010). Real Analysis, Pearson (4th ed.). Upper Saddle River: Pearson.

    Google Scholar 

  • Wald R. M. (1984). General Relativity. Chicago: University of Chicago Press.

    Google Scholar 

Download references

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Correspondence to Paolo Rocchi .

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Rocchi, P. (2014). A Mathematical Approach to the Interpretation Problem. In: Janus-Faced Probability. Springer, Cham. https://doi.org/10.1007/978-3-319-04861-1_2

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