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Model and Mathematics: From the 19th to the 21st CenturyMappings, Models, Abstraction, and Imaging: Mathematical Contributions to Modern Thinking Circa 1900

Model and Mathematics: From the 19th to the 21st Century: Mappings, Models, Abstraction, and... [1921, Vienna and Leipzig: the journal Annalen der Naturphilosophie, edited by chemist Wilhelm Ostwald, publishes a hard-to-classify paper, an essay written in aphorisms about knowledge and its limits, about the world and “what cannot be spoken of,” polished during the Great War by Ludwig Wittgenstein. In this terse and difficult writing, barely 78 pages, one finds an attempt to definitively clarify main philosophical questions. At the core of this reflection is logic and its link with the world, a topic articulated around the notions of Bild, image or figure, and Abbildung, figuration or representation, mapping. Wittgenstein’s entire attempt is unequivocally modernist in spirit, an exemplary specimen of a cultural shift intensified by the horrendous war. In those years one started to talk about structures in different fields, not least within mathematics, and the new architectonic efforts look for purity of lines, a purist functionalism linked (surprisingly or not) to an intense search for transcendence. This can be applied, e.g., to Wassily Kandinsky’s canvases or the scores of Anton Webern but applies in no lesser degree to the beautiful “Tractatus logico-philosophicus.”] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Model and Mathematics: From the 19th to the 21st CenturyMappings, Models, Abstraction, and Imaging: Mathematical Contributions to Modern Thinking Circa 1900

Part of the Trends in the History of Science Book Series
Editors: Friedman, Michael; Krauthausen, Karin
Ferreirós, José
Model and Mathematics: From the 19th to the 21st Century — Aug 9, 2022
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Publisher
Springer International Publishing
Copyright
© The Editor(s) (if applicable) and The Author(s) 2022. This an Open Access book.
ISBN
978-3-030-97832-7
Pages
309 –331
DOI
10.1007/978-3-030-97833-4_10
Publisher site
See Chapter on Publisher Site

Abstract

[1921, Vienna and Leipzig: the journal Annalen der Naturphilosophie, edited by chemist Wilhelm Ostwald, publishes a hard-to-classify paper, an essay written in aphorisms about knowledge and its limits, about the world and “what cannot be spoken of,” polished during the Great War by Ludwig Wittgenstein. In this terse and difficult writing, barely 78 pages, one finds an attempt to definitively clarify main philosophical questions. At the core of this reflection is logic and its link with the world, a topic articulated around the notions of Bild, image or figure, and Abbildung, figuration or representation, mapping. Wittgenstein’s entire attempt is unequivocally modernist in spirit, an exemplary specimen of a cultural shift intensified by the horrendous war. In those years one started to talk about structures in different fields, not least within mathematics, and the new architectonic efforts look for purity of lines, a purist functionalism linked (surprisingly or not) to an intense search for transcendence. This can be applied, e.g., to Wassily Kandinsky’s canvases or the scores of Anton Webern but applies in no lesser degree to the beautiful “Tractatus logico-philosophicus.”]

Published: Aug 9, 2022

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