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Single Idea 18125

[filed under theme 5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / c. Berry's paradox ]

Full Idea

Berry's Paradox can be put in this form, by considering the alleged name 'The least number not named by this name'.

Gist of Idea

Berry's Paradox considers the meaning of 'The least number not named by this name'

Source

David Bostock (Philosophy of Mathematics [2009], 8.1)

Book Ref

Bostock,David: 'Philosophy of Mathematics: An Introduction' [Wiley-Blackwell 2009], p.227

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The 4 ideas with the same theme [problem with defining a number with maximum words]:

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]