Journal article
Zermelo and Russell's Paradox: Is There a Universal set?
Philosophia mathematica, Vol.21(2), pp.180-199
06/01/2013
DOI: 10.1093/philmat/nks027
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.
Details
- Title: Subtitle
- Zermelo and Russell's Paradox: Is There a Universal set?
- Creators
- Gregory Landini
- Resource Type
- Journal article
- Publication Details
- Philosophia mathematica, Vol.21(2), pp.180-199
- Publisher
- Oxford Univ Press
- DOI
- 10.1093/philmat/nks027
- ISSN
- 0031-8019
- eISSN
- 1744-6406
- Number of pages
- 20
- Language
- English
- Date published
- 06/01/2013
- Academic Unit
- Philosophy
- Record Identifier
- 9984397181002771
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