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
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DOI 10.1080/01445340701550817
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References found in this work BETA

Nominalist Platonism.George Boolos - 1985 - Philosophical Review 94 (3):327-344.
Completeness in the Theory of Types.Leon Henkin - 1950 - Journal of Symbolic Logic 15 (2):81-91.
The Calculus of Individuals and Its Uses.Henry S. Leonard & Nelson Goodman - 1940 - Journal of Symbolic Logic 5 (3):113-114.

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Citations of this work BETA

La Métalangue d'Une Syntaxe Inscriptionnelle.Paula Quinon - 2011 - History and Philosophy of Logic 32 (2):191 - 193.
Logic: The Question of Truth.Greg Shirley - 2011 - History and Philosophy of Logic 32 (2):193 - 196.

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