Grelling's paradox, also known as the Grelling-Nelson paradox or heterological paradox, is a semantic paradox that arises by defining "heterological" to mean "a word which does not describe itself." The word "heterological" is therefore heterological iff it is not.
Grelling's Paradox
See also
Russell's AntinomyExplore with Wolfram|Alpha
References
Curry, H. B. Foundations of Mathematical Logic. New York: Dover, p. 6, 1977.Erickson, G. W. and Fossa, J. A. Dictionary of Paradox. Lanham, MD: University Press of America, pp. 83-84, 1998.Grelling, K. and Nelson, L. "Bemerkungen zu den Paradoxien von Russell und Burali-Forti." Abhandlungen der Fries'schen Schule (Neue Serie) 2, 300-334, 1907/1908.Hofstadter, D. R. Gödel, Escher, Bach: An Eternal Golden Braid. New York: Vintage Books, pp. 20-21, 1989.Referenced on Wolfram|Alpha
Grelling's ParadoxCite this as:
Weisstein, Eric W. "Grelling's Paradox." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GrellingsParadox.html