tGEORGE Boolos
Abstract
Cantor's diagonal argument provides an indirect proof that there is no oneone function from the power set of a set A into A. This paper provides a somewhat more constructive proof of Cantor's theorem, showing how, given a function f from the power set of A into A, one can explicitly define a counterexample to the thesis that f is
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Cantor's diagonal argument provides an indirect proof that there is no oneone function from the power set of a set A into A. This paper provides a somewhat more constructive proof of Cantor's theorem, showing how, given a function f from the power set of A into A, one can explicitly define a counterexample to the thesis that f is
Key concepts: Counterexample, Cantor's diagonal argument, Power set, Mathematics, Constructive, Constructive proof, Cantor set, Cantor function