Constructing Cantorian counterexamples
- Cite this article as:
- Boolos, G. Journal of Philosophical Logic (1997) 26: 237. doi:10.1023/A:1004209106100
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Cantor’s diagonal argument provides an indirect proof that there is no one-one 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 one-one.