Introduction to the bayesian methodology of contemporary cosmology
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Dec 9, 2009
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Abstract
The Bayesian framework is used in reconstruction of modern cosmology which actually concentrates on estimation of model parameters. The authors demonstrate that observational cosmology should be treated as an effective theory of the Universe. It realizes dream of science proposed by logical empirism in some sense, i.e. science should be founded on empirical data from the very beginning, and it formulates and amplifies the hypothesis through new empirical data. They have also shown some limitations of the Bayesian approach as well as its advantages when this approach is applied to cosmology.
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Kurek, A., Kukier, Łukasz, Szydłowski, M., & Tambor, P. (2009). Introduction to the bayesian methodology of contemporary cosmology. Philosophical Problems in Science (Zagadnienia Filozoficzne W Nauce), (45), 62–96. Retrieved from https://zfn.edu.pl/index.php/zfn/article/view/193
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References
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Carnap R., 1950, Logical Foundations of Probability (Chicago: Chicago University Press).
Charap J., 2006, Objaśnianie wszechświata. Fizyka w XXI w. (Warszawa: Prószyński i S-ka).
Chuaqui R., 1991, Truth, Possibility and Probability (Amsterdam: North-Holland).
Cox R.T., 1961, The Algebra of Probable Inference (The Johns Hopkins University Press)
D’Agostini G., 1999, CERN Yellow Report 99 03.
De Finetti B., 1974, Theory of Probability (London: John Wiley and Sons Ltd.).
Durrer R. and Maartens R., 2008, Gen. Rel. Grav. 40 301–328 (Preprint 0711.0077).
Earman J., 1992, Bayes or Bust? A Critical Examination of Bayesian Confirmation Theory (Cambridge, Mass.: MIT Press).
Fitelson B., 2001, Philosophy of Science 68 3 S123-S140.
Fitelson B., 2001, Studies in Bayesian Confirmation Theory (Madison WI: University of Wisconsin).
Goodman N., 1955, Fact, Fiction and Forecast (Harvard: University Press).
Goodstein R.L., 2007, Boolean Algebra (Dover Publications).
Grobler A., 2006, Metodologia nauk (Krakow: Aureus, ZNAK).
Horwich P., 1982, Probability and Evidence (Cambridge: Cambridge University Press).
Howson C. and Urbach P., 1989, Scientific Reasoning: the Bayesian Approach (La Salle, IL: Open Court).
Jaynes E.T., 2003, Probability Theory: The Logic of Science (Cambridge: Cambridge University Press).
Jeffrey R.C., 1983, The Logic of Decision (2nd ed., Chicago: University of Chicago Press).
Jeffreys H., 1961, Theory of Probability (3rd ed., Oxford: Oxford University Press).
Kawalec P., 2003, Roczniki Filozoficzne 51 1 113–142.
Keynes J.M., 1921, A Treatise on Probability (London: Macmillan).
Kyburg H.E., 1983, Epistemology and Inference (Minneapolis: University of Minnesota Press).
Lobo F.S.N., 2008, (Preprint 0807.1640).
Marlow T., 2006, Int. J. Theo. Phys. (Preprint gr-qc/0603011).
Marlow T., 2006, (Preprint arXiv:0603015 [gr-qc]).
Movahed M.S., Farhang M. and Rahvar S., 2007, (Preprint astro-ph/0701339).
Nowak R., 2002, Statystyka dla fizykow (Warszawa: Wydawnictwo Naukowe PWN).
Popper K.R., 2002, Logika odkrycia naukowego (Warszawa: PWN).
Reichenbach H., 1949, The Theory of Probability (Berkeley CA: University of California Press).
Rosenkrantz R.D., 1977, Inference, Method and Decision: Towards a Bayesian Philosophy of Science (Dordrecht: D. Reidel).
Shaffer M.J., 2001, Philosophy of Science 68 1 36–52.
Sober E., 2002, Proceedings of the British Academy 113 21–38.
Strevens M., 2006, The Bayesian Approach to the Philosophy of Science (2nd ed., Macmillan Encyclopedia of Philosophy).
Williams P.M., 1980, The British Journal for the Philosophy of Science 31 2 131–144.
Woleński J., 1991, Z zagadnień filozofii nauk przyrodniczych (ed. Butrym S., Warszawa: Polska Akademia Nauk Instytut Filozofii i Socjologii), ss. 7–16.
Wójcicki R., 1979, Topics in the Formal Methodology of Empirical Sciences (Dordrecht: Reidel).