The ‘Chemistry of Space’: The Sources of Hermann Grassmann's Scientific Achievements.
Albert Lewis's article (Annals of Science, 1977) analysing the influence of Friedrich Schleiermacher on Hermann Grassmann, stimulated many different studies on the founder ofn-dimensional outer algebra. Following a brief outline of the various, sometimes diverging, analyses of Grassmann's creative t...
| Published in: | Annals of Science Vol. 71; no. 4; pp. 522 - 577 |
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| Format: | Article |
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Taylor & Francis Ltd
Oct2014
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| Online Access: | View this record in EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=102593594&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 102593594 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00033790 7J1 jtl: Annals of Science issn: 00033790 maglogo: Y pubinfo: dt: Oct2014 vid: 71 iid: 4 pid: 377 pub: Taylor & Francis Ltd artinfo: ui: 102593594 10.1080/00033790.2013.877339 ppf: 522 ppct: 55 formats: fmt: – @attributes: type: T – @attributes: type: P size: 868KB tig: atl: The ‘Chemistry of Space’: The Sources of Hermann Grassmann's Scientific Achievements. aug: au: Petsche, Hans-Joachim affil: Universität Potsdam, Germany su: Grassmann, Hermann, 1809-1877 History of mathematics Elementary education Pestalozzi, Johann Heinrich, 1746-1827 Schleiermacher, Friedrich, 1768-1834 Lewis, Albert Grassmann, Justus Günter History Nineteenth century Germany sug: subj: Germany Grassmann, Hermann, 1809-1877 History of mathematics Elementary education Pestalozzi, Johann Heinrich, 1746-1827 Schleiermacher, Friedrich, 1768-1834 Lewis, Albert Grassmann, Justus Günter History Nineteenth century ab: Albert Lewis's article (Annals of Science, 1977) analysing the influence of Friedrich Schleiermacher on Hermann Grassmann, stimulated many different studies on the founder ofn-dimensional outer algebra. Following a brief outline of the various, sometimes diverging, analyses of Grassmann's creative thinking, new research is presented which confirms Lewis's original contribution and widens it considerably. It will be shown that: i. Grassmann, although a self-taught mathematician, was at the centre of a hitherto understated intellectual trend, which was defining for Germany. Initiated by Pestalozzi's concept of elementary mathematical education and culminating in the modern mathematics of the late 19th Century, it was reflected in the contributions of Grassmann, Riemann, Jacobi and Eisenstein. ii. Hermann Grassmann, his father Justus, and his brother Robert were all demonstrably influenced by Schleiermacher's dialectic; however the two brothers responded to it in very different ways. iii. Whilst the more philosophical parts of Hermann's 1844 Extension Theory are characterised by the influence of Schleiermacher and also by the mathematical knowledge of his father, the entire development of this work is the unfolding of a single idea based on the father's interpretation of combinatorial multiplication as a ‘chemical conjunction‘, which was developed largely dialectically by Hermann. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Copyright of Annals of Science is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. item: Annals of Science holder: Taylor & Francis Ltd dt: @attributes: year: 2014 holdings: @attributes: islocal: N |
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