Berry's Paradox (idea) by wim

I think I can explain this one better, or more formally maybe.

Consider 'the least integer not nameable in fewer than nineteen syllables'. This expression appears to name a number (one hundred and eleven thousand, seven hundred and seventy seven, 111777), but it is also an expression of eighteen syllables that is itself a name of a number. So the least integer not nameable in fewer than 19 syllables is nameable by an expression containing fewer than nineteen syllables, which is a contradiction.

This is my favourite paradox, stated by G.G. Berry in 1906.

A Blather of Paradoxes	The largest number that can be described in 14 words or less	the smallest integer never considered	Levinthal paradox
Barber Paradox	Grelling's Paradox	Liar Paradox	On my honor, I have not violated the honor code in any way on this work.
Voting Paradoxes	Now I ask you, is that any way for a cosmic body to disintegrate?	foundations of mathematics	Things to consider when forming a rock band
Richard Paradox	depleted uranium	Paradox	Frameshift paradox
algorithmic information theory	Stupid Word Tricks	Gregory Chaitin	EMF
berry	Gödel's theorem	interesting number	Max Black on Metaphor