Russell's paradox of the totality of propositions

Abstract
Russell's "new contradiction" about "the totality of propositions" has been connected with a number of modal paradoxes. M. Oksanen has recently shown how these modal paradoxes are resolved in the set theory NFU. Russell's paradox of the totality of propositions was left unexplained, however. We reconstruct Russell's argument and explain how it is resolved in two intensional logics that are equiconsistent with NFU. We also show how different notions of possible worlds are represented in these intensional logics
Keywords Russell, Bertrand
Categories (categorize this paper)
DOI 10.1080/08066200050217977
Options
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 30,803
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

No references found.

Add more references

Citations of this work BETA
Modality and Paradox.Gabriel Uzquiano - 2015 - Philosophy Compass 10 (4):284-300.
The Senses of Functions in the Logic of Sense and Denotation.Kc Klement - 2010 - Bulletin of Symbolic Logic 16 (2):153-188.

Add more citations

Similar books and articles
Russell's Way Out of the Paradox of Propositions.André Fuhrmann - 2002 - History and Philosophy of Logic 23 (3):197-213.
Russell-Myhill Paradox.Kevin C. Klement - 2003 - Internet Encyclopedia of Philosophy.
Zermelo and Russell's Paradox: Is There a Universal Set?G. Landini - 2013 - Philosophia Mathematica 21 (2):180-199.
Agamben, Badiou, and Russell.Paul M. Livingston - 2009 - Continental Philosophy Review 42 (3):297-325.
Added to PP index
2010-08-24

Total downloads
48 ( #112,768 of 2,202,776 )

Recent downloads (6 months)
2 ( #150,076 of 2,202,776 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature