On the Development of the Notion of a Cardinal Number

History and Philosophy of Logic 31 (2):123-143 (2010)
  Copy   BIBTEX

Abstract

We discuss the concept of a cardinal number and its history, focussing on Cantor's work and its reception. J'ay fait icy peu pres comme Euclide, qui ne pouvant pas bien >faire< entendre absolument ce que c'est que raison prise dans le sens des Geometres, definit bien ce que c'est que memes raisons. (Leibniz) 1

Categories

Keywords

Reprint years

2011

DOI

10.1080/01445340903545904

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,122

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

Moment cinétique et syllogistique dynamique chez Hegel.Yvon Gauthier - 2005 - Philosophiques 32 (2):357-368.
Wittgenstein on Circularity in the Frege-Russell Definition of Cardinal Number.Boudewijn de Bruin - 2008 - Philosophia Mathematica 16 (3):354-373.
Qu'est-ce que la faculté de juger?Hannah Ginsborg - unknown
Cardinal-preserving extensions.Sy D. Friedman - 2003 - Journal of Symbolic Logic 68 (4):1163-1170.
Philosophical method and Galileo's paradox of infinity.Matthew W. Parker - 2008 - In Bart Van Kerkhove (ed.), New Perspectives on Mathematical Practices: Essays in Philosophy and History of Mathematics : Brussels, Belgium, 26-28 March 2007. World Scientfic.
What are numbers?Zvonimir Šikić - 1996 - International Studies in the Philosophy of Science 10 (2):159-171.
Leibniz on the Greatest Number and the Greatest Being.Ohad Nachtomy - 2005 - The Leibniz Review 15:49-66.
Forcing isomorphism II.M. C. Laskowski & S. Shelah - 1996 - Journal of Symbolic Logic 61 (4):1305-1320.
Réduction et irréductibilité du sensible : l'élision du sens commun chez Leibniz.Frédéric De Buzon - 1991 - Revue de Métaphysique et de Morale 96 (4):531 - 550.

Analytics

Added to PP
2010-07-27

Downloads
45 (#329,731)

6 months
4 (#573,918)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

An axiomatic theory of well-orderings.Oliver Deiser - 2011 - Review of Symbolic Logic 4 (2):186-204.

Add more citations

References found in this work

The Principles of Mathematics.Bertrand Russell - 1903 - Cambridge, England: Allen & Unwin.
Mathematical Logic as Based on the Theory of Types.Bertrand Russell - 1908 - American Journal of Mathematics 30 (3):222-262.
Paradoxien des Unendlichen.Bernard Bolzano - 2012 - Hamburg: Meiner, F. Edited by Christian Tapp.

View all 44 references / Add more references