Mathematics in Theology, Theology in Mathematics
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Published:
Aug 22, 2016
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Abstract
Mathematicians use theological metaphors when they talk in the kitchen of mathematics. How essential is this talk? Have theological considerations and religious concepts influenced mathematics? Can mathematical models illuminate theology? Some authors have given positive answers to these questions, but they do not seem final. It is unclear how religious views influenced the work of those mathematicians who were also theologians. Religious background of some mathematical concepts could have been inessential. Mathematical models in theology have no predictive value. It is, however, important to continue the recently initiated search for the mutual influences of mathematics and theology. (In addition to the references listed at the end of this paper, one can also consult the volume “Theology in Mathematics?” ed. by Stanisław Krajewski and Kazimierz Trzęsicki, Studies in Logic, Grammar and Rhetoric 44 (57), 2016.)
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How to Cite
Krajewski, S. (2016). Mathematics in Theology, Theology in Mathematics. Philosophical Problems in Science (Zagadnienia Filozoficzne W Nauce), (60), 99–118. Retrieved from https://zfn.edu.pl/index.php/zfn/article/view/368
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Proceedings of the PAU Commission on the Philosophy of Science
References
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Barrow, J., 2015. Książka o niczym. Tłum. Ł. Lamża. Kraków: Copernicus Center Press.
Bradley, J. (red.), 2011. Theology and Science. Vol. 9, nr 1.
Bradley, J., 2011a. Theology and mathematics – key themes and central historical figures. W: (J. Bradley, red., 2011, s. 5–26).
Buber, M., 1992. Ja i Ty. Wybór pism filozoficznych. Tłum. J. Doktór. Warszawa: PAX.
Byers, W., 2007. How mathematicians think. Using ambiguity, contradiction, and paradox to create mathematics. Princeton: Princeton University Press.
Dalen, D. van, 1999. Mystic, geometer, and intuitionist: The life of L.E.J. Brouwer. Oxford: Oxford University Press.
Dauben, J.W., 1990. Georg Cantor: His mathematics and philosophy of the infinite. Princeton: Princeton University Press.
Diller, J., Kasher, A. (red.), 2013. Models of God and alternative ultimate realities. Dodrecht: Springer.
Graham, L., Kantor, J.-M., 2009. Naming infinity: A true story of religious mysticism and mathematical creativity. Cambridge, Mass: Harvard University Press.
Graham, L., 2011. The power of names. Theology and Science, 9, 1, s. 157–164.
Heller, M., 1998. Czy fizyka jest nauką humanistyczną? Tarnów: Biblos.
Heller, M., Woodin, H. (red.), 2011. Infinity. New research frontiers. Cambridge: Cambridge University Press.
Heller, M., Krajewski, S., 2014. Czy fizyka i matematyka to nauki humanistyczne? Kraków: Copernicus Center Press.
Hersh, R., 1991. Mathematics has a front and a back. Synthese, 88, s. 127–133.
Kantor, J.-M., 2011. Mathematics and mysticism, name worshipping, then and now. Theology and Science, 9, 1, s. 149–156.
Koetsier, T., Bergmans, L. (red.), 2005. Mathematics and the divine: A historical study. Amsterdam: Elsevier.
Krajewski, S., 2011. Czy matematyka jest nauką humanistyczną? Kraków: Copernicus Center Press.
Krajewski, S., 2011a. Uwagi o matematyce i teologii, rozdz. 8 w: (Krajewski, 2011) oraz w: (Heller, Krajewski, 2014).
Lewis, A., 2011. The divine truth of mathematics and the origins of linear algebra. Theology and Science, 9, 1, s. 109–120.
Murawski, R. (red.), 1984. Filozofia matematyki. Antologia tekstów klasycznych. Poznań: Wyd. UAM.
Post, J.F., 1974. New foundations for philosophical theology, Quine with God, The Journal of Philosophy, 7, s. 736–748.
Seidenberg, A., 1962. The ritual origin of counting. Archive for History of Exact Sciences, 2, s. 1–40.
Tapp, Ch., 2011. Infinity in Mathematics and Theology. Theology and Science, 9, 1, s. 91–100.