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Russell's paradox
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=== Russell-like paradoxes === As illustrated above for the barber paradox, Russell's paradox is not hard to extend. Take: * A [[transitive verb]] {{angbr|V}}, that can be applied to its [[substantive]] form. Form the sentence: : The {{angbr|V}}er that {{angbr|V}}s all (and only those) who do not {{angbr|V}} themselves, Sometimes the "all" is replaced by "all {{angbr|V}}ers". An example would be "paint": : The ''paint''er that ''paint''s all (and only those) that do not ''paint'' themselves. or "elect" : The ''elect''or ([[Group representation|representative]]), that ''elect''s all that do not ''elect'' themselves. In the [[The Big Bang Theory (season 8)#Episodes|Season 8]] episode of ''[[The Big Bang Theory]]'', "The Skywalker Intrusion", [[Sheldon Cooper]] analyzes the song "[[Play That Funky Music]]", concluding that the lyrics present a musical example of Russell's Paradox.<ref>{{cite web |url=https://www.mprnews.org/story/2016/09/27/play-that-funky-music-no-1-40-years-ago |title=Play That Funky Music Was No. 1 40 Years Ago |website=[[Minnesota Public Radio]] |date=September 27, 2016 |access-date=January 30, 2022}}</ref> Paradoxes that fall in this scheme include: * [[Barber paradox|The barber with "shave"]]. * The original Russell's paradox with "contain": The container (Set) that contains all (containers) that do not contain themselves. * The [[Grelling–Nelson paradox]] with "describer": The describer (word) that describes all words, that do not describe themselves. * [[Richard's paradox]] with "denote": The denoter (number) that denotes all denoters (numbers) that do not denote themselves. (In this paradox, all descriptions of numbers get an assigned number. The term "that denotes all denoters (numbers) that do not denote themselves" is here called ''Richardian''.) * "I am lying.", namely the [[liar paradox]] and [[Epimenides paradox]], whose origins are ancient * [[Russell–Myhill paradox]]
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