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Critical Notice: Michael Hallett's Cantorian Set Theory and Limitation of Size

Published online by Cambridge University Press:  01 April 2022

Robert Bunn
Robert Bunn*
Affiliation:
Department of Philosophy University of British Columbia
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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.

—Bertrand Russell, The Principles of Mathematics, p. 362

Type
Research Article
Information
Philosophy of Science , Volume 55 , Issue 3 , September 1988 , pp. 461 - 478
Copyright
Copyright © 1988 by the Philosophy of Science Association

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References

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