David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
In Hanne Andersen, Dennis Dieks, Wenceslao J. Gonzalez, Thomas Uebel & Gregory Wheeler (eds.), New Challenges to Philosophy of Science. Springer. 423--434 (2013)
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.
|Keywords||Philosophy Mathematics Topology History of Philosophy of Science B. Russell M. Stone|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
C. Callender & R. Weingard (2000). Topology Change and the Unity of Space. Studies in History and Philosophy of Science Part B 31 (2):227-246.
Colin McLarty (1990). The Uses and Abuses of the History of Topos Theory. British Journal for the Philosophy of Science 41 (3):351-375.
Dirk Schlimm, Axiomatics and Progress in the Light of 20th Century Philosophy of Science and Mathematics.
Adrian Heathcote (1988). Zeeman-Göbel Topologies. British Journal for the Philosophy of Science 39 (2):247-261.
Stuart Shanker (ed.) (1996). Philosophy of Science, Logic, and Mathematics in the Twentieth Century. Routledge.
Thomas Mormann (2006). Description, Construction and Representation. From Russell and Carnap to Stone. In Guido Imagire & Christine Schneider (eds.), Untersuchungen zur Ontologie.
Laura Crosilla & Peter Schuster (eds.) (2005). From Sets and Types to Topology and Analysis: Towards Practicable Foundations for Constructive Mathematics. Oxford University Press.
Nick Huggett (2003). Mirror Symmetry: What is It for Relational Space to Be Orientable? In Katherine Brading & Elena Castellani (eds.), Symmetries in Physics: Philosophical Reflections. Cambridge University Press. 281.
José Ferreirós Domínguez & Jeremy Gray (eds.) (2006). The Architecture of Modern Mathematics: Essays in History and Philosophy. Oxford University Press.
A. Richardson (2003). The Geometry of Knowledge: Lewis, Becker, Carnap and the Formalization of Philosophy in the 1920s. Studies in History and Philosophy of Science Part A 34 (1):165-182.
Edward N. Zalta (2007). Reflections on Mathematics. In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
James Franklin (2011). Aristotelianism in the Philosophy of Mathematics. Studia Neoaristotelica 8 (1):3-15.
E. R. Grosholz (1985). Two Episodes in the Unification of Logic and Topology. British Journal for the Philosophy of Science 36 (2):147-157.
Added to index2012-03-21
Total downloads171 ( #3,998 of 1,102,698 )
Recent downloads (6 months)24 ( #6,364 of 1,102,698 )
How can I increase my downloads?