Deductive Nomological Model and Mathematics: Making Dissatisfaction more Satisfactory

Theoria 29 (2):223-241 (2014)
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Abstract

The discussion on mathematical explanation has inherited the same sense of dissatisfaction that philosophers of science expressed, in the context of scientific explanation, towards the deductive-nomological model. This model is regarded as unable to cover cases of bona fide mathematical explanations and, furthermore, it is largely ignored in the relevant literature. Surprisingly, the reasons for this ostracism are not sufficiently manifest. In this paper I explore a possible extension of the model to the case of mathematical explanations and I claim that there are at least two reasons to judge the deductive-nomological picture of explanation as inadequate in that context.

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Daniele Molinini
University of Bologna

Citations of this work

A deductive-nomological model for mathematical scientific explanation.Eduardo Castro - 2020 - Principia: An International Journal of Epistemology 24 (1):1-27.

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References found in this work

Studies in the logic of explanation.Carl Gustav Hempel & Paul Oppenheim - 1948 - Philosophy of Science 15 (2):135-175.
Naturalism in mathematics.Penelope Maddy - 1997 - New York: Oxford University Press.
Explanatory unification and the causal structure of the world.Philip Kitcher - 1962 - In Philip Kitcher & Wesley C. Salmon (eds.), Scientific Explanation. Univ of Minnesota Pr. pp. 410-505.
Studies in the Logic of Explanation.Carl Hempel & Paul Oppenheim - 1948 - Journal of Symbolic Logic 14 (2):133-133.
Four Decades of Scientific Explanation.Wesley C. Salmon & Anne Fagot-Largeault - 1989 - History and Philosophy of the Life Sciences 16 (2):355.

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