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The application of mathematics in science

Sorin Bangu: The applicability of mathematics in science: Indispensability and ontology. London: Palgrave Macmillan, 2012, xii+252pp, £55 HB

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Notes

  1. By mathematical explanation I mean mathematical explanation of physical facts, often called external mathematical explanation. Internal mathematical explanations are mathematical explanations of mathematical facts, and these are not considered in AMS or here. For a nice description of both types of explanation see Hafner and Mancosu (2005).

  2. This ‘enhanced indispensability argument’ is presented most rigorously by Alan Baker (2005, 2009).

References

  • Baker, A. 2005. Are there genuine mathematical explanations of physical phenomena? Mind 114(454): 223–238.

    Article  Google Scholar 

  • Baker, A. 2009. Mathematical explanation in science. British Journal for the Philosophy of Science 60(3): 611–633.

    Article  Google Scholar 

  • Field, H. 1980. Science without numbers: A defence of nominalism. Oxford: Blackwell.

    Google Scholar 

  • Hafner, J., and P. Mancosu. 2005. The varieties of mathematical explanation. In Visualization, explanation and reasoning styles in mathematics, ed. P. Mancosu, K.F. Jørgensen, and S.A. Pedersen, 215–250. Dordrecht: Springer.

    Chapter  Google Scholar 

  • Quine, W.V. 1981. Theories and things. MA: Harvard University Press.

    Google Scholar 

  • Steiner, M. 1998. The applicability of mathematics as a philosophical problem. Cambridge: Harvard University Press.

    Google Scholar 

  • Wigner, E. 1960. The unreasonable effectiveness of mathematics in the natural sciences. Communications in Pure and Applied Mathematics 13: 1–14.

    Article  Google Scholar 

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  1. Institute for the History and Philosophy of Science and Technology, University of Toronto, Room 316, Victoria College, 91 Charles Street West, Toronto, ON, M5S 1K7, Canada

    Alex Koo

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Koo, A. The application of mathematics in science. Metascience 23, 263–268 (2014). https://doi.org/10.1007/s11016-014-9875-x

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