David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Metaphysica 6 (2):91-109 (2005)
The metaphysical concept of continuity is important, not least because physical continua are not known to be impossible. While it is standard to model them with a mathematical continuum based upon set-theoretical intuitions, this essay considers, as a contribution to the debate about the adequacy of those intuitions, the neglected intuition that dividing the length of a line by the length of an individual point should yield the line’s cardinality. The algebraic properties of that cardinal number are derived pre-theoretically from the obvious properties of a line of points, whence it becomes clear that such a number would cohere surprisingly well with our elementary number systems.
|Keywords||No keywords specified (fix it)|
|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
Liliana Albertazzi (ed.) (2002). Unfolding Perceptual Continua. Amsterdam: J Benjamins.
Ingunn Elstad & Kirsti Torjuul (2009). Continuity of Nursing and the Time of Sickness. Nursing Philosophy 10 (2):91-102.
Craig Harrison (1996). The Three Arrows of Zeno. Synthese 107 (2):271 - 292.
Chris Freiling (1986). Axioms of Symmetry: Throwing Darts at the Real Number Line. Journal of Symbolic Logic 51 (1):190-200.
B. Goussinsky (1959). Continuity and Number. Tel Aviv, Israel.
Laura Klaming & Pim Haselager (2013). Did My Brain Implant Make Me Do It? Questions Raised by DBS Regarding Psychological Continuity, Responsibility for Action and Mental Competence. Neuroethics 6 (3):527-539.
Martin Cooke (2005). To Continue With Continuity. Metaphysica 6 (2):91-109.
Michael J. White (1988). On Continuity: Aristotle Versus Topology? History and Philosophy of Logic 9 (1):1-12.
Athanassios Tzouvaras (1997). The Order Structure of Continua. Synthese 113 (3):381-421.
Added to index2009-01-28
Total downloads7 ( #212,717 of 1,679,439 )
Recent downloads (6 months)1 ( #182,905 of 1,679,439 )
How can I increase my downloads?