A Snag in Cantor’s Paradise
Tóm tắt
The paper claims that the strategy adopted in the proof of Cantor’s theorem is problematic. Using the strategy, an unacceptable situation is built. The paper also makes the suggestion that the proof of Cantor’s theorem is possible due to lack of an apparatus to represent emptiness at a certain level in the ontology of set-theory.
Tài liệu tham khảo
Fraenkel AA (1966). Abstract set theory, 3rd, revised edition. North-Holland Publishing Company, Amsterdam
Hodges W (1998) An editor recalls some hopeless papers. Bull Symb Logic 4(1):1–16