Justus Grassmann's contributions to the foundations of mathematics: Mathematical and philosophical aspects

DOI10.1006/hmat.1999.2266zbMath0948.01009OpenAlexW2048206250MaRDI QIDQ1975528

Mircea Radu

Publication date: 12 November 2000

Published in: Historia Mathematica (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b000ae164ced1794230d95878e72ff1b77e1c2f7

zbMATH Keywords

axiomaticsF. W. J. SchellingI. Kanticons (external, internal)intellectual intuitionJustus Grassmannmagnitude (Größe)synthesis (mathematical, logical, continuous, discrete, as equal, as unequal)

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) History of mathematical logic and foundations (03-03) History of mathematics in the 19th century (01A55) Schools of mathematics (01A72)

Related Items (2)

A debate about the axiomatization of arithmetic: Otto Hölder against Robert Graßmann. ⋮ Schleiermacher, Fries, Herbart \(\ldots\) -- who influenced Hermann Graßmann?

Cites Work

• The ideas of Hermann Grassmann in the context of the mathematical and philosophical tradition since Leibniz
• Kant's philosophy of mathematics. Modern essays
• A general outline of the genesis of vector space theory
• H. Grassmann's 1844Ausdehnungslehreand Schleiermacher'sDialektik
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