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

Philosophia Mathematica 21 (2):180-199 (2013)
  Copy   BIBTEX

Abstract

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

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 100,888

External links

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

Through your library

Analytics

Added to PP
2012-11-14

Downloads
160 (#144,751)

6 months
3 (#1,470,822)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Gregory Landini
University of Iowa

Citations of this work

Stipulations Missing Axioms in Frege's Grundgesetze der Arithmetik.Gregory Landini - 2022 - History and Philosophy of Logic 43 (4):347-382.
Frege's Cardinals Do Not Always Obey Hume's Principle.Gregory Landini - 2017 - History and Philosophy of Logic 38 (2):127-153.
Review of Terence Parsons, Articulating Medieval Logic. [REVIEW]Paul Thom - 2015 - History and Philosophy of Logic 36 (2):178-181.

Add more citations

References found in this work

On Frege's way out.P. T. Geach - 1956 - Mind 65 (259):408-409.
The Ins and Outs of Frege's Way Out.Gregory Landini - 2006 - Philosophia Mathematica 14 (1):1-25.

Add more references