From Religion to Dialectics and Mathematics

From Religion to Dialectics and Mathematics

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,...

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Main Author: Achtner Wolfgang
Format: Article
Language:English
Published: Sciendo 2016-03-01
Series:Studies in Logic, Grammar and Rhetoric
Online Access:https://doi.org/10.1515/slgr-2016-0007
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spelling doaj-d3688f9378a04bdd9648738fd869e5482021-09-05T14:00:42ZengSciendoStudies in Logic, Grammar and Rhetoric0860-150X2199-60592016-03-0144111113110.1515/slgr-2016-0007slgr-2016-0007From Religion to Dialectics and MathematicsAchtner Wolfgang0Justus Liebig University, Gießen, GermanyHermann 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.https://doi.org/10.1515/slgr-2016-0007
collection DOAJ
language English
format Article
sources DOAJ
author Achtner Wolfgang
spellingShingle Achtner Wolfgang
From Religion to Dialectics and Mathematics
Studies in Logic, Grammar and Rhetoric
author_facet Achtner Wolfgang
author_sort Achtner Wolfgang
title From Religion to Dialectics and Mathematics
title_short From Religion to Dialectics and Mathematics
title_full From Religion to Dialectics and Mathematics
title_fullStr From Religion to Dialectics and Mathematics
title_full_unstemmed From Religion to Dialectics and Mathematics
title_sort from religion to dialectics and mathematics
publisher Sciendo
series Studies in Logic, Grammar and Rhetoric
issn 0860-150X
2199-6059
publishDate 2016-03-01
description 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.
url https://doi.org/10.1515/slgr-2016-0007
work_keys_str_mv AT achtnerwolfgang fromreligiontodialecticsandmathematics
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