Topology as an Issue for History of Philosophy of Science

In Hanne Andersen, Dennis Dieks, Wenceslao J. Gonzalez, Thomas Uebel & Gregory Wheeler (eds.), New Challenges to Philosophy of Science. Springer. pp. 423--434 (2013)

Abstract

Since antiquity well into the beginnings of the 20th century geometry was a central topic for philosophy. Since then, however, most philosophers of science, if they took notice of topology at all, considered it as an abstruse subdiscipline of mathematics lacking philosophical interest. Here it is argued that this neglect of topology by philosophy may be conceived of as the sign of a conceptual sea-change in philosophy of science that expelled geometry, and, more generally, mathematics, from the central position it used to have in philosophy of science and placed logic at center stage in the 20th century philosophy of science. Only in recent decades logic has begun to loose its monopoly and geometry and topology received a new chance to find a place in philosophy of science.

Download options

PhilArchive

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Analytics

Added to PP
2012-03-21

Downloads
1,021 (#6,416)

6 months
64 (#11,849)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Thomas Mormann
Ludwig Maximilians Universität, München (PhD)

References found in this work

Our Knowledge of the external World as a field of scientific method in Philosophy.Bertrand Russell - 1914 - Revue Philosophique de la France Et de l'Etranger 81:306-308.
The Theory of Representations for Boolean Algebras.M. H. Stone - 1936 - Journal of Symbolic Logic 1 (3):118-119.

Add more references

Similar books and articles

The Uses and Abuses of the History of Topos Theory.Colin Mclarty - 1990 - British Journal for the Philosophy of Science 41 (3):351-375.
Axiomatics and Progress in the Light of 20th Century Philosophy of Science and Mathematics.Dirk Schlimm - 2006 - In Benedikt Löwe, Volker Peckhaus & T. Rasch (eds.), Foundations of the Formal Sciences IV. College Publications. pp. 233–253.
Philosophy of Mathematics.Christopher Pincock - 2011 - In J. Saatsi & S. French (eds.), Companion to the Philosophy of Science. Continuum. pp. 314-333.
Zeeman-Göbel Topologies.Adrian Heathcote - 1988 - British Journal for the Philosophy of Science 39 (2):247-261.
Mirror Symmetry: What is It for Relational Space to Be Orientable?Nick Huggett - 2002 - In Katherine Brading & Elena Castellani (eds.), Symmetries in Physics: Philosophical Reflections. Cambridge University Press. pp. 281.
Reflections on Mathematics.Edward N. Zalta - 2007 - In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
Two Episodes in the Unification of Logic and Topology.E. R. Grosholz - 1985 - British Journal for the Philosophy of Science 36 (2):147-157.