Grelling-Nelson paradox: Is the word "heterological", meaning "not applicable to itself," a heterological word? ❋ ANEEK (2010)
The sources were abundant ” letters, court records, pamphlets, memoirs ” and since Certeau's original French edition was part of a series of primary documents, he could prepare a book with different voices and thereby capture a "heterological" perspective: his own from the present, and those from the past, "each of [the] halves say [ing] what is missing from the other." ❋ Davis, Natalie Zemon (2008)
Both contradictions can be presented as sequences of equivalences, and both sequences share the same structure, as seen below (where "het" abbreviates "heterological"): ❋ Bolander, Thomas (2008)
It should be stressed that Weyl's attitude towards Grelling's antinomy is utterly negative: he considers it pure Scholasticism (Weyl 1918, section 1): there is no way, according to him, of assigning a meaning to ˜heterological™ and one should ultimately resolve these problems by appealing to philosophy. ❋ Cantini, Andrea (2007)
To each word there corresponds a concept, that the very word designates, and which applies to it or does not apply; in the first case, we call the word autological, else heterological. ❋ Cantini, Andrea (2007)
Now the word ˜heterological™ itself is autological or heterological. ❋ Cantini, Andrea (2007)
But if the word is heterological, the designated concept does not apply, so ❋ Cantini, Andrea (2007)
In other words, “Is ˜heterological™ heterological?” is ill formed (and so meaningless on syntactic grounds). ❋ Sorensen, Roy (2006)
The common solution to this puzzle is that ˜heterological™, as defined by Grelling, is not a genuine predicate (Thomson 1962). ❋ Sorensen, Roy (2006)
Now for the riddle: Is ˜heterological™ heterological or autological? ❋ Sorensen, Roy (2006)
Kurt Grelling's paradox, for instance, opens with a distinction between autological and heterological words. ❋ Sorensen, Roy (2006)
If ˜heterological™ is heterological, then since it describes itself, it is autological. ❋ Sorensen, Roy (2006)
This latter set of words is usually called heterological, perhaps because heterological is polysyllabic. ❋ Leonard Mlodinow (2001)
Marcus Singer. autological: Elliott Sober. (and Carolina Sartorio -- is this a borderline case?) heterological: Claudia Card. (slang -- and could be autological, depending on mood) sentence (imperative): Lester Hunt and Dennis Stampe. (borderline cases -- Haskell Fain and Alan Sidelle) ❋ Unknown (2008)
