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Catalogue Paradox

Consider a library which compiles a bibliographic catalog of all (and only those) catalogs which do not list themselves. Then does the library's catalog list itself?

SEE ALSO: Pseudoparadox, Russell's Antinomy

REFERENCES:

Curry, H. B. Foundations of Mathematical Logic. New York: Dover, p. 5, 1977.

Gonseth, F. "La structure du paradoxe des catalogues." §106 in Les mathématiques et la réalité: Essai sur la méthode axiomatique. Paris: Félix Alcan, pp. 255-257, 1936.




CITE THIS AS:

Weisstein, Eric W. "Catalogue Paradox." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/CatalogueParadox.html

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