Zermelo and Russell's Paradox: Is There a Universal set?

Philosophia Mathematica 21 (2):180-199 (2012)
Zermelo once wrote that he had anticipated Russell's contradiction of the set of all sets that are not members of themselves. Is this sufficient for having anticipated Russell's Paradox — the paradox that revealed the untenability of the logical notion of a set as an extension? This paper argues that it is not sufficient and offers criteria that are necessary and sufficient for having discovered Russell's Paradox. It is shown that there is ample evidence that Russell satisfied the criteria and that Zermelo did not
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Reprint years 2013
DOI 10.1093/philmat/nks027
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 23,316
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
G. Landini (2006). The Ins and Outs of Frege's Way Out. Philosophia Mathematica 14 (1):1-25.

Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

45 ( #106,264 of 1,926,202 )

Recent downloads (6 months)

9 ( #101,940 of 1,926,202 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.