Between Theology and Mathematics. Nicholas of Cusa’s Philosophy of Mathematics

Roman Murawski 1
  • 1 Adam Mickiewicz University

Abstract

The paper is devoted to the philosophical and theological as well as mathematical ideas of Nicholas of Cusa (1401–1464). He was a mathematician, but first of all a theologian. Connections between theology and philosophy on the one side and mathematics on the other were, for him, bilateral. In this paper we shall concentrate only on one side and try to show how some theological ideas were used by him to answer fundamental questions in the philosophy of mathematics.

If the inline PDF is not rendering correctly, you can download the PDF file here.

  • Achtner W., 2005, Infinity in science and religion: the creative role of thinking about infinity, Neue Zeitschrift für systematische Theologie und Geschichtsphilosophie 47, 392–411.

  • Achtner W., 2011, Infinity as a transformative concept in science and technology, in: M. Heller and W. Hugh Woodin (Eds.), Infinity. New Research Frontiers, Cambridge University Press, Cambridge, 19–51.

  • Albertson D., 2014, Mathematical Theologies: Nicholas of Cusa and the Legacy of Thierry of Chartres, Oxford University Press, New York.

  • Breidert W., 1977, Mathematik und symbolische Erkenntnis bei Nikolaus von Kues, Mitteilungen und Forschungsbeiträge der Cusanus-Gesellschaft 12, 116–126.

  • Counet J.-M., 2005, Mathematics and the Divine in Nicholas of Cusa, in: T. Koetsier and L. Bergmans, Mathematics and the Divine: A Historical Study, Elsevier, Amsterdam, 273–290.

  • Federici Vescovini G., 1997, Cusano e la matematica, in: Filosofia e storia della cultura. Studi in onore di Fulvio Tessitore, vol. 1: Dall’antico al moderno, Napoli, 392-434.

  • Federici Vescovini G., 1998, L’architettonica della mente di Cusano e la matematica, in: Le origini della modernità, a cura di W. Tega, vol. I: Linguaggi e saperi tra XV e XVI secolo, Firenze, 31–48.

  • Knobloch E., 2002, Unendlichkeit und Mathematik bei Nicolaus aus Kues – Grundideen und ihre Weiterentwicklung, in: A. Schürmann und B. Weiss (Hrsg.), Chemie – Kultur – Geschichte. Festschrift für Hans-Werner Schütt anlässlich seines 65. Geburtstages, Verlag für Geschichte der Naturwissenschaften und der Technik, Berlin/Diepholz, 223–234.

  • Nicolai de Cusa, 1440, De docta ignorantia, in: Opera omnia, vol. I, ediderunt: E. Hoffmann, R. Klibansky, Lipsiae 1932. Novam editionem curavit Burkhard Mojsisch 2008. English translation: On Learned Ignorance, The Arthur J. Banning Press, Minneapolis, Minnesota 1985 (second edition), 1990 (second printing). Polish translation: O oświeconej niewiedzy, Wydawnictwo Znak, Kraków 1997.

  • Nicolai de Cusa, 1450, Idiota de mente, in: Opera omnia, vol. V, edidit R. Steiger, Hamburgi 1983. Novam editionem curavit Burkhard Mojsisch 2008. English translation: Layman on Mind, in: Nicholas of Cusa On Wisdom and Knowledge, The Arthur J. Banning Press, Minneapolis, Minnesota 1996. Polish translation (with Latin text): Laik o umyśle, Wydawnictwo Marek Derewecki, Kęty 2008.

  • Nicolai de Cusa, 1458, De mathematica perfectione, in: Editio Argentoratensis 1488, vol. II, 490–498. Nova edition: P. Wilpert, Berlin 1967.

  • Nicolai de Cusa, 1463, De venatione sapientiae. De apice theoriae, in: Opera omnia, vol. XII, ediderunt: R. Klibansky, H.-G. Singer, Hamburg 1982. English translation: On the Pursuit of Wisdom, in: Nicholas of Cusa: Metaphysical Speculations, The Arthur J. Banning Press, Minneapolis, Minnesota 1998.

OPEN ACCESS

Journal + Issues

Search