Philosophia Mathematica 26 (1):1-39 (2018)

Patrick Reeder
Kenyon College
This is a survey of the concept of continuity. Efforts to explicate continuity have produced a plurality of philosophical conceptions of continuity that have provably distinct expressions within contemporary mathematics. I claim that there is a divide between the conceptions that treat the whole continuum as prior to its parts, and those conceptions that treat the parts of the continuum as prior to the whole. Along this divide, a tension emerges between those conceptions that favor philosophical idealizations of continuity and those that are more readily available for mathematico-scientific use.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/philmat/nkx018
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 64,077
External links

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

Metaphysical Dependence: Grounding and Reduction.Gideon Rosen - 2010 - In Bob Hale & Aviv Hoffmann (eds.), Modality: Metaphysics, Logic, and Epistemology. Oxford University Press. pp. 109-36.
Guide to Ground.Kit Fine - 2012 - In Fabrice Correia & Benjamin Schnieder (eds.), Metaphysical Grounding. Cambridge University Press. pp. 37--80.
On What Grounds What.Jonathan Schaffer - 2009 - In David Manley, David J. Chalmers & Ryan Wasserman (eds.), Metametaphysics: New Essays on the Foundations of Ontology. Oxford University Press. pp. 347-383.
Parts: A Study in Ontology.Peter M. Simons - 1987 - Oxford, England: Oxford University Press.

View all 133 references / Add more references

Citations of this work BETA

Quick and Easy Recipes for Hypergunk.Patrick Reeder - 2020 - Australasian Journal of Philosophy 98 (1):178-191.

Add more citations

Similar books and articles

Matter, Unity and Infinity in Early Leibniz.Samuel Stephen Levey - 1997 - Dissertation, Syracuse University
Unfolding Perceptual Continua.Liliana Albertazzi (ed.) - 2002 - Amsterdam: John Benjamins.
Characterising Near Continuity Constructively.Douglas Bridges & Luminiţa Vîţă - 2001 - Mathematical Logic Quarterly 47 (4):535-538.
On Continuity: Aristotle Versus Topology?Michael J. White - 1988 - History and Philosophy of Logic 9 (1):1-12.
Two Conceptions of Psychological Continuity.Marc Slors - 1998 - Philosophical Explorations 1 (1):61 – 80.
To Continue With Continuity.Martin Cooke - 2005 - Metaphysica 6 (2):91-109.
On the Distinction Between the Concept of God and Conceptions of God.Eberhard Herrmann - 2008 - International Journal for Philosophy of Religion 64 (2):63 - 73.
Is There an Incommensurability Between Superseding Theories?A. Polikarov - 1993 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 24 (1):127 - 146.
The Limits of Continuity.Ronald W. Langacker - 2002 - In Liliana Albertazzi (ed.), Unfolding Perceptual Continua. Amsterdam: John Benjamins. pp. 41--241.


Added to PP index

Total views
60 ( #179,573 of 2,454,544 )

Recent downloads (6 months)
1 ( #449,188 of 2,454,544 )

How can I increase my downloads?


My notes