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Journal Article

A Unified Solution to Some Paradoxes

Laurence Goldstein
Proceedings of the Aristotelian Society
New Series, Vol. 100 (2000), pp. 53-74
Published by: Wiley on behalf of The Aristotelian Society
https://www.jstor.org/stable/4545317
Page Count: 22
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A Unified Solution to Some Paradoxes
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Abstract

The Russell class does not exist because the conditions purporting to specify that class are contradictory, and hence fail to specify any class. Equally, the conditions purporting to specify the Liar statement are contradictory and hence, although the Liar sentence is grammatically in order, it fails to yield a statement. Thus the common source of these and related paradoxes is contradictory (or tautologous) specifying conditions-for such conditions fail to specify. This is the diagnosis. The cure consists of seeking and destroying the deep-seated preconceptions that make almost irresistible our belief in the existence of items which provably do not exist.