The Barber Paradox: On its Paradoxicality and its Relationship to Russell's Paradox

Prolegomena 13 (2):269-278 (2014)
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Abstract

The Barber paradox is often introduced as a popular version of Russell’s paradox, though some experts have denied their similarity, evencalling the Barber paradox a pseudoparadox. In the first part of thepaper, I demonstrate mainly that in the standard (Quinean) defini-tion of a paradox the Barber paradox is a clear-cut example of a non-paradox. Despite some outward similarities, it differs radically fromRussell’s paradox. I also expose many other differences. In the secondpart of the paper, I examine a probable source of the paradoxicality ofthe Barber paradox, which is found in a certain ambivalence in terms ofmeaning. The two different readings of the crucial phrase yield distinctexistential assumptions which produce the paradoxical conclusion.

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Jiri Raclavsky
Masaryk University

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References found in this work

The ways of paradox.W. V. Quine - 1966 - New York,: Random.
Paradoxes.R. M. Sainsbury - 1990 - Philosophy 65 (251):106-111.
Logic.Donald Kalish - 1964 - New York,: Harcourt, Brace & World. Edited by Richard Montague.
What, exactly, is a paradox?W. G. Lycan - 2010 - Analysis 70 (4):615-622.
The logical paradoxes.Kurt Grelling - 1936 - Mind 45 (180):481-486.

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