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Cantor invented the concept of cardinality and ordered pairs, and proved that some infinities are larger than others.<ref>http://www.economicexpert.com/a/Cardinal:number.html</ref>

Cantor invented the concept of cardinality and ordered pairs, and proved that some infinities are larger than others.<ref>http://www.economicexpert.com/a/Cardinal:number.html</ref>

Cantor's best known proof is his technique of [[Diagonalization|Cantorian Diagonalization]], a method useful to prove that the [[real numbers]] are larger in [[cardinality]] than the [[integers]].  He is also known for his [[Cantor set|Cantor Set]]<ref>http://mathworld.wolfram.com/CantorSet.html</ref> and [[Cantor Intersection Theorem]].

Cantor's best known proof is his technique of [[Diagonalization|Cantorian Diagonalization]], a method useful to prove that the [[real numbers]] are larger in [[cardinality]] than the [[integers]].  He is also known for his Cantor Set<ref>http://mathworld.wolfram.com/CantorSet.html</ref> and [[Cantor Intersection Theorem]].

 

The set of integers (or their equivalent) is the smallest infinite set.  Cantor's "Continuum Hypothesis" is the conjecture that the set of all real numbers is the ''second'' smallest infinite set.

The set of integers (or their equivalent) is the smallest infinite set.  Cantor's "Continuum Hypothesis" is the conjecture that the set of all real numbers is the ''second'' smallest infinite set.