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Full Idea
Berry: if we take 'x is a natural number definable in less than 19 words', we can generate a number which is and is not one of these numbers.
Gist of Idea
'x is a natural number definable in less than 19 words' leads to contradiction
Source
Graham Priest (The Structure of Paradoxes of Self-Reference [1994], §3)
Book Ref
-: 'Mind' [-], p.29
A Reaction
[not enough space to spell this one out in full]
18125 | Berry's Paradox considers the meaning of 'The least number not named by this name' [Bostock] |
13484 | Berry's Paradox: we succeed in referring to a number, with a term which says we can't do that [Hart,WD] |
9638 | Berry's Paradox finds a contradiction in the naming of huge numbers [Brown,JR] |
13370 | 'x is a natural number definable in less than 19 words' leads to contradiction [Priest,G] |