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Premium Einfluß der Symbolik und des Formalismus auf die Entwicklung des mathematischen Denkens
Author(s)
Knobloch Eberhard
Publication year1980
Publication title
berichte zur wissenschaftsgeschichte
Resource typeJournals
PublisherWiley‐VCH Verlag GmbH & Co KGaA
Abstract The object of this article is the study of possibilities and tendencies arising from the use of symbolic language including signs, characters, and symbols in mathematics. Five aspects are discussed: compactness and simultaneity, problem‐solving and generalizations, heuristics and progress, mechanisms and calculations, formalism. This is done primarily by looking at three disciplines, which at the same time are of fundamental importance to theoretical physics: classical algebra, calculus, and vector analysis. Mathematical achievements and statements by eminent mathematicians from antiquity to the present (Archimedes, Leibniz, Newton, Euler, Gauß, Hilbert) show the importance of adequate symbolism for the development of mathematics. The corresponding philosophical discussions (Hobbes, Condillac, Degérando, Apelt, Cassirer, among others) are controversial.
Subject(s)algebra over a field , art , calculus (dental) , dentistry , epistemology , formalism (music) , literature , mathematics , medicine , musical , philosophy , philosophy of mathematics , pure mathematics
Language(s)English
SCImago Journal Rank0.109
H-Index8
eISSN1522-2365
pISSN0170-6233
DOI10.1002/bewi.19800030108

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