Cantor’s Concept of Set in the Light of Plato’s Philebus

Review of Metaphysics 63 (4):783-805 (2010)
  Copy   BIBTEX

Abstract

In explaining his concept of set Cantor intimates a connection with the metaphysical scheme put forward in Plato’s Philebus to determine the place of pleasure. We argue that these determinations capture key ideas of Cantorian set theory and, moreover, extend to intuitions which continue to play a central role in the modern mathematics of infinity.

Categories

Keywords

Reprint years

ISBN(s)

00346632

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,349

External links

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

Through your library

My notes

Similar books and articles

Plato's Philebus Dorothea Frede (tr.): Plato, Philebus: Translated with Introduction and Notes. Pp. lxxx+83. Indianapolis: Hackett, 1993. £24.95 (Paper, £6.95). Seth Bernadete: The Tragedy and Comedy of Life: Plato's Philebus. Translated and with Commentary. Pp. xii+250; 3 figs. Chicago, London: University of Chicago Press, 1993. Cased, $43.25/£29.95. [REVIEW]Robin Waterfield - 1994 - The Classical Review 44 (2):298-300.
Is Cantor's continuum problem inherently vague?Kai Hauser - 2002 - Philosophia Mathematica 10 (3):257-285.
Cantor and the Burali-Forti Paradox.Christopher Menzel - 1984 - The Monist 67 (1):92-107.
Higher-Order One–Many Problems in Plato's Philebus and Recent Australian Metaphysics.S. Gibbons & C. Legg - 2013 - Australasian Journal of Philosophy 91 (1):119-138.
Wittgenstein’s analysis on Cantor’s diagonal argument.Chaohui Zhuang - manuscript
Fools and Malicious Pleasure in Plato's Philebus.Emily A. Austin - 2012 - History of Philosophy Quarterly 29 (2):125-139.
The Philebus_- R. Hackforth. Plato's Examination of Pleasure. A Translation of the Philebus, with Introduction and Commentary. Pp. vi+143. Cambridge: University Press, 1945. Cloth, 10 _s_. 6 _d. net. [REVIEW]J. Tate - 1946 - The Classical Review 60 (01):29-30.
Bury's Philebus_- The Philebus of Plato. Edited, with Introduction, Notes, and Appendices, by R. G. Bury, M.A. Demy 8vo. Cambridge University Press. 12 _s_. 6 _d. [REVIEW]E. Poste - 1898 - The Classical Review 12 (04):223-228.
Pleasure Unlimited.John Kress - 2010 - Epoché: A Journal for the History of Philosophy 15 (1):13-34.
Constructive Context.John L. Bell - unknown
Cantor's grundlagen and the paradoxes of set theory.William Tait - manuscript

Analytics

Added to PP
2011-01-09

Downloads
125 (#141,404)

6 months
11 (#226,803)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

On the Digital Ocean.Sarah Pourciau - 2022 - Critical Inquiry 48 (2):233-261.
Intuition and Its Object.Kai Hauser - 2015 - Axiomathes 25 (3):253-281.

Add more citations

References found in this work

No references found.

Add more references