The Berry paradox is a self-referential paradox arising from an expression like "The smallest positive integer not definable in under sixty letters" (a...
13 KB (1,669 words) - 23:26, 21 July 2024
paradox is a humorous paradox which arises from the attempt to classify every natural number as either "interesting" or "uninteresting". The paradox states...
11 KB (1,314 words) - 16:35, 25 May 2024
conflicts with the notion that something is named by calling it unnameable. Berry paradox: The phrase "the first number not nameable in under ten words" appears...
56 KB (7,888 words) - 00:25, 21 July 2024
smallest positive integer not definable in under sixty letters" (see Berry's paradox). There is an infinite list of English phrases (such that each phrase...
12 KB (1,798 words) - 02:05, 4 July 2024
While Gödel's theorem is related to the liar paradox, Chaitin's result is related to Berry's paradox. These are natural mathematical equivalents of...
92 KB (12,132 words) - 22:29, 5 July 2024
appropriately.) The above proof uses a contradiction similar to that of the Berry paradox: "1The 2smallest 3positive 4integer 5that 6cannot 7be 8defined 9in 10fewer...
54 KB (7,165 words) - 09:03, 21 July 2024
the result. (B) Berry's Paradox, first mentioned in the Principia Mathematica as fifth of seven paradoxes, is credited to Mr. G. G. Berry of the Bodleian...
12 KB (1,757 words) - 15:34, 6 December 2022
A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation. It is a statement that, despite apparently...
25 KB (2,887 words) - 19:40, 5 July 2024
The Hilbert–Bernays paradox is a distinctive paradox belonging to the family of the paradoxes of reference (like Berry's paradox). It is named after David...
4 KB (523 words) - 19:58, 1 January 2024
This article contains a discussion of paradoxes of set theory. As with most mathematical paradoxes, they generally reveal surprising and counter-intuitive...
17 KB (2,672 words) - 19:43, 12 July 2024