Grelling
(ˈgrɛlɪŋ)
The name of Kurt Grelling, an early 20th-cent. German logician, used attrib., absol., in the possessive, and coupled with that of L. Nelson, to designate the paradox of heterologicality, which they discovered and published in 1907; as Grelling antinomy (also Grelling–Nelson antinomy), Grelling's paradox, etc. (The paradox is sometimes referred to as Weyl's contradiction, by a mistaken attribution.)
| 1937 A. Smeaton tr. Carnap's Logical Syntax of Lang. §60a. 211 (heading) Grelling's antinomy. 1955 A. N. Prior Formal Logic iii. iii. 287 A particularly clear example is..Grelling's paradox about ‘heterological’. 1960 P. Suppes Axiomatic Set Theory i. 10 The third..semantical paradox..is the Grelling-Nelson paradox..of heterologicality. 1962 W. & M. Kneale Devel. Logic xi. 656 Grelling's paradox has to do with a newly invented word. 1963 G. T. Kneebone Math. Logic iv. 128 The Grelling-Nelson antinomy (1908). 1966 L. J. Cohen Diversity of Meaning (ed. 2) §26. 214 Similar antinomies, like the Grelling, may arise. 1966 W. V. Quine Ways of Paradox i. 6 Thus viewed, Grelling's paradox seems unequivocally falsidical. |