New forms of science and new sciences of form: On the non-mathematical reception of Grassmann’s work

Paul Ziche ()
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Paul Ziche: University of Utrecht, Department of Philosophy

A chapter in From Past to Future: Graßmann's Work in Context, 2011, pp 131-139 from Springer

Abstract: Abstract In 1907, two important texts on Kant were published, both highlighting typical aspects of a reception of Grassmannian ideas outside mathematics, mathematical logic ormathematical physics. Ernst Cassirer’s article on “Kant und die moderne Mathematik” [Cassirer 1907] deals mainly with the philosophy of mathematics, but his arguments culminate in his monumental Substanzbegriff und Funktionsbegriff from 1910 and range far beyond the realm of traditional mathematics: a general theory of concept formation, a turn towards “order” as the most fundamental concept imaginable, a shift from substances and things towards relations and functions, and the attempt to formulate a general science of forms. In the same year, the philosopher-plus-psychologist Oswald Külpe – pupil of Wilhelm Wundt, professor of philosophy in Würzburg, Bonn and Munich – presents Kant’s philosophy in the form of a popular survey that is motivated by the problem to bring philosophy and science (Wissenschaft) into a productive relationship [Külpe 1908; onKülpe see Ziche 1999; Kusch 1999].

Keywords: Concept Formation; General Science; Pure Theory; Pure Science; Traditional Mathematic (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0346-0405-5_12

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DOI: 10.1007/978-3-0346-0405-5_12

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