H. Grassmann's 1844 Ausdehnungslehre and Schleiermacher's Dialektik

Annals of Science 34 (2):103-162 (1977)
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Abstract

Hermann Grassmann's ideas on the nature and foundations of mathematics were published as an integral part of his mathematical treatise, the Ausdehnungslehre, in 1844. In spite of its notoriously obscure style we can better understand the work if we view it as an expression of the dialectical philosophy of his mentor, the theologian F. Schleiermacher. The relation to Schleiermacher is presented here through an analysis of the principal ideas of the Ausdehnungslehre

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10.1080/00033797700200171

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Citations of this work

The implicate order, algebras, and the spinor.F. A. M. Frescura & B. J. Hiley - 1980 - Foundations of Physics 10 (1-2):7-31.
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Physics and Naturphilosophie: A Reconnaissance.Kenneth L. Caneva - 1997 - History of Science 35 (1):35-106.
Pasch's empiricism as methodological structuralism.Dirk Schlimm - 2020 - In Erich H. Reck & Georg Schiemer (eds.), The Pre-History of Mathematical Structuralism. Oxford: Oxford University Press. pp. 80-105.

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Kant's formulation of the laws of motion.Robert Palter - 1972 - Synthese 24 (1-2):96 - 116.

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