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- W2039656435 abstract "Moritz Pasch (1843–1930) is usually seen today as a precursor of Hilbert. The Vorlesungen über neuere Geometrie (1882) is indeed one of the few works Hilbert referred to in the Grundlagen. Unfortunately, Hilbert's epoch-making book has eclipsed Pasch's achievement; so much so that Pasch's Vorlesungen has not been yet translated into English. But as Pollard emphasizes, it would be a mistake to reduce Pasch's research to his work on the foundations of geometry. Pasch published another book on the foundations of real analysis and arithmetic (Einleitung in die Differential- und Integralrechnung) in 1882, and two other works, respectively, in 1909 (Grundlagen der Analysis) and in 1914 (Verändliche und Funktion). Pasch thus aimed not only to analyze the foundations of geometry but also to elaborate a complete theory of mathematical knowledge. This ambition brought him close to the logicists (especially to Frege, with whom he corresponded). But, unlike them, Pasch was a resolute empiricist: he considered that ‘geometry and number theory are branches of empirical science’ (p. v)1 and that all mathematical concepts must be derived from a set of notions abstracted from our experience." @default.
- W2039656435 created "2016-06-24" @default.
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- W2039656435 date "2011-07-08" @default.
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- W2039656435 title "STEPHEN POLLARD ed. Essays on the Foundations of Mathematics by Moritz Pasch. The Western Ontario Series in Philosophy of Science; 83. Dordrecht: Springer, 2010. ISBN 978-90-481-9415-5 (hbk). Pp. xi + 245" @default.
- W2039656435 doi "https://doi.org/10.1093/philmat/nkr015" @default.
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