Abstract
Standard histories of mathematics are filled with names, dates, and results, but seldom do we find much attention paid to the contexts in which mathematics was made or past achievements recorded. Yet by widening the net, one can easily retrieve many interesting examples that reveal how mathematicians thought about these matters and much else besides. This column deals with one such person – whose identity readers are hereby challenged to uncover – in order to illustrate in a particularly striking way the potential confluence of mathematical and philosophical ideas. The sources to which I allude below are all in print and readily accessible, so I have reason to hope that these hints will lead readers fairly quickly in the right direction. A reading knowledge of German and at least some tolerance for German philosophical prose will prove useful aids in this endeavor. Those who wish not only to answer the query above, but also to add their own reflections to mine, are invited to forward such musings directly to me.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
Georg Wilhelm Friedrich Hegel, Enzyklopädie der philosophischen Wissenschaften in Grundrisse, Zweiter Teil: Die Naturphilosophie,1. Abteilung: Die Mechanik, A. Raum und Zeit, b. Die Zeit, § 258.
References
Biermann, K.-R. 1988. Die Mathematik und ihre Dozenten an der Berliner Universität 1810–1933. Berlin: Akademie-Verlag.
Boniface, Jacqueline, and Norbert Schappacher, eds. 2001. Sur le concept de nombre en mathématique. Cours inédit de Leopold Kronecker à Berlin (1891). Revue d’histoire des mathématiques 7 (2): 207–275.
Hesse, Otto. 1863. Jakob Steiner. Journal für die reine und angewandte Mathematik 62: 199–200.
Kummer, E.E., 1863. Über die Flächen vierten Grades, auf welchen Schaaren von Kegelschnitten liegen, Monatsberichte der Königlich Preußischen Akademie der Wissenschaften zu Berlin, 16. Juli 1863, 324–336; (Reprinted in (Kummer 1975, 405–416).)
———. 1975. In Ernst Eduard Kummer, Collected Papers, ed. A. Weil, vol. II. Berlin: Springer.
Steiner, Jakob. 1882. In Jakob Steiners Gesammelte Werke, ed. K. Weierstrass, Bd. II ed. Berlin: Reimer.
Weierstrass, Karl. 1863. Bemerkung zum Vorstehende, Monatsberichte der Königlich Preußischen Akademie der Wissenschaften zu Berlin, 16. Juli 1863, 337–338.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
Rowe, D.E. (2018). Who Linked Hegel’s Philosophy with the History of Mathematics?. In: A Richer Picture of Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-67819-1_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-67819-1_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-67818-4
Online ISBN: 978-3-319-67819-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)