Cantorian Set Theory and Limitation of Size. Michael Hallett

Philosophy of Science 55 (3):461-478 (1988)
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Abstract

The usual objections to infinite numbers, and classes, and series, and the notion that the infinite as such is self-contradictory, may... be dismissed as groundless. There remains, however, a very grave difficulty, connected with the contradiction [of the class of all classes not members of themselves]. This difficulty does not concern the infinite as such, but only certain very large infinite classes.

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Citations of this work

Transfinite Numbers in Paraconsistent Set Theory.Zach Weber - 2010 - Review of Symbolic Logic 3 (1):71-92.
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E Pluribus Unum: Plural Logic and Set Theory.John P. Burgess - 2004 - Philosophia Mathematica 12 (3):193-221.
New V, ZF and Abstraction.Stewart Shapiro & Alan Weir - 1999 - Philosophia Mathematica 7 (3):293-321.
Gödel’s Cantorianism.Claudio Ternullo - 2015 - In Eva-Maria Engelen & Gabriella Crocco (eds.), Kurt Gödel: Philosopher-Scientist. Presses Universitaires de Provence. pp. 417-446.

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References found in this work

Mathematics in Philosophy: Selected Essays.Charles Parsons - 1985 - British Journal for the Philosophy of Science 36 (4):437-457.
Mathematics in Philosophy by Charles Parsons. [REVIEW]W. V. Quine - 1984 - Journal of Philosophy 81 (12):783-794.
Working Foundations.Solomon Feferman - 1985 - Synthese 62 (2):229 - 254.

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