Everything2

Cantor diagonalization

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diagonal argument	Dog incompleteness	For every set there exists a larger set	diagonalization
enumerable set	Incompleteness	Georg Cantor	Cantor set
continuum hypothesis	Cantor's paradox	The set of rational numbers is countably infinite	There are as many numbers between 0 and 1 as there are in the set of all real numbers
Proof by contradiction	The Osama bin Laden "Good Times" CD collection	aleph-null	continuum
Post's correspondence problem	halting dog problem	Decidability	foundations of mathematics
Hilbert Hotel	Gödel	The funniest joke in the world	real number

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