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  1.  97
    Mathematical Models and Reality: A Constructivist Perspective. [REVIEW]Christian Hennig - 2010 - Foundations of Science 15 (1):29-48.
    To explore the relation between mathematical models and reality, four different domains of reality are distinguished: observer-independent reality, personal reality, social reality and mathematical/formal reality. The concepts of personal and social reality are strongly inspired by constructivist ideas. Mathematical reality is social as well, but constructed as an autonomous system in order to make absolute agreement possible. The essential problem of mathematical modelling is that within mathematics there is agreement about ‘truth’, but the assignment of mathematics to informal reality is (...)
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  2.  45
    Deborah G. Mayo & Aris Spanos, Eds. 2009. Error and Inference (Christian Hennig).Christian Hennig - 2012 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 27 (2):245-247.
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  3.  52
    Falsification of Propensity Models by Statistical Tests and the Goodness-of-Fit Paradox.Christian Hennig - 2007 - Philosophia Mathematica 15 (2):166-192.
    Gillies introduced a propensity interpretation of probability which is linked to experience by a falsifying rule for probability statements. The present paper argues that general statistical tests should qualify as falsification rules. The ‘goodness-of-fit paradox’ is introduced: the confirmation of a probability model by a test refutes the model's validity. An example is given in which an independence test introduces dependence. Several possibilities to interpret the paradox and to deal with it are discussed. It is concluded that the propensity interpretation (...)
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    Persi Diaconis and Brian Skyrms. Ten Great Ideas About Chance.Christian Hennig - 2020 - Philosophia Mathematica 28 (2):282-285.
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