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2016 | 44 | 1 | 111-131

Article title

From Religion to Dialectics and Mathematics

Title variants

Languages of publication

EN

Abstracts

EN
Hermann Grassmann is known to be the founder of modern vector and tensor calculus. Having as a theologian no formal education in mathematics at a university he got his basic ideas for this mathematical innovation at least to some extent from listening to Schleiermacher’s lectures on Dialectics and, together with his brother Robert, reading its publication in 1839. The paper shows how the idea of unity and various levels of reality first formulated in Schleiermacher’s talks about religion in 1799 were transformed by him into a philosophical system in his dialectics and then were picked up by Grassmann and operationalized in his philosophical-mathematical treatise on the extension theory (German: Ausdehnungslehre) in 1844.

Keywords

Publisher

Year

Volume

44

Issue

1

Pages

111-131

Physical description

Dates

published
2016-03-01
online
2016-03-17

Contributors

  • Justus Liebig University, Gießen, Germany

References

  • Johannes M. Dittmer, Schleiermachers Wissenschaftslehre als Entwurf einer prozessualen Metaphysik in semiotischer Perspektive. Triadizität im Werden. DeGruyter, Berlin 2001.
  • Albert Einstein, Aus meinen späteren Jahren, Ullstein Verlag, Frankfurt 41993.
  • Hermann Grassmann, Gesammelte Mathematische und Physikalische Werke, Bd. I, 1. Friedrich Engel (ed.), Teubner, Leipzig 1894.
  • M.B. Green, J.H. Schwarz, E. Witten, Superstring theory, Vol., 1, Introduction, Cambridge Monographs on mathematical physics, Cambridge University Press 2002.
  • Inken Mädler, Kirche und bildende Kunst der Moderne. Ein an F. D. E. Schleiermacher orientierter Beitrag zur theologischen Urteilsbildung, Verlag Mohr Siebeck, Tübingen 1997.
  • Hans-Joachim Petsche, “Ernst Abbe’s reception of Grassmann in the light of Grassmann’s reception of Schleiermacher”, in: Hans-Joachim Petsche et al. (ed.), Hermann Graßmann. From Past to Future: Graßmann’s Work in Context. Graßmann Bicentennial Conference, September 2009, Birkhäuser, Springer, Basel 2011
  • Friedrich Schleiermacher, Dialektik, Justus Jonas (ed.), Dialektik aus Schleiermachers handschriftlichem Nachlasse, Friedrich Schleiermacher’s sämtliche Werke, Dritte Abteilung zur Philosophie, Vierten Bandes zweiter Theil, Reimer Verlag, Berlin 1839.
  • Friedrich Schleiermacher, Reden über die Religion an die Gebildeten unter ihren Verächtern, Reclam Verlag, Stuttgart 2010,
  • Alfred North Whitehead, A treatise on universal algebra: with applications, The University Press, Cambridge 1898.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.doi-10_1515_slgr-2016-0007
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