Grelling's Paradox

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.

See also

Russell's Antinomy

Explore with Wolfram|Alpha


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 Paradox

Cite this as:

Weisstein, Eric W. "Grelling's Paradox." From MathWorld--A Wolfram Web Resource.

Subject classifications