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?
Catalogue Paradox
See also
Pseudoparadox, Russell's AntinomyExplore with Wolfram|Alpha
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.Referenced on Wolfram|Alpha
Catalogue ParadoxCite this as:
Weisstein, Eric W. "Catalogue Paradox." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CatalogueParadox.html