Lesniewski and Russell's paradox: Some problems

History and Philosophy of Logic 29 (2):115-146 (2008)
Sobocinski in his paper on Leśniewski's solution to Russell's paradox (1949b) argued that Leśniewski has succeeded in explaining it away. The general strategy of this alleged explanation is presented. The key element of this attempt is the distinction between the collective (mereological) and the distributive (set-theoretic) understanding of the set. The mereological part of the solution, although correct, is likely to fall short of providing foundations of mathematics. I argue that the remaining part of the solution which suggests a specific reading of the distributive interpretation is unacceptable. It follows from it that every individual is an element of every individual. Finally, another Leśniewskian-style approach which uses so-called higher-order epsilon connectives is used and its weakness is indicated.
Keywords Lesniewski  mereology  mathematics
Categories (categorize this paper)
DOI 10.1080/01445340701550817
 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: 15,974
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
George Boolos (1985). Nominalist Platonism. Philosophical Review 94 (3):327-344.
Leon Henkin (1950). Completeness in the Theory of Types. Journal of Symbolic Logic 15 (2):81-91.
Jerzy Słupecki (1984). S. Leśniewski's Calculus of Names. In Jan T. J. Srzednicki, V. F. Rickey & J. Czelakowski (eds.), Studia Logica. Distributors for the United States and Canada, Kluwer Boston 59--122.

View all 62 references / Add more references

Citations of this work BETA
Paula Quinon (2011). La Métalangue d'Une Syntaxe Inscriptionnelle. History and Philosophy of Logic 32 (2):191 - 193.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

53 ( #63,570 of 1,725,873 )

Recent downloads (6 months)

1 ( #348,700 of 1,725,873 )

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.