Difference between revisions of "Talk:Power set"
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See the bottom of http://en.wikipedia.org/wiki/Cantor%27s_diagonal_argument --[[User:ComplexZeta|ComplexZeta]] 01:25, 27 August 2006 (EDT) | See the bottom of http://en.wikipedia.org/wiki/Cantor%27s_diagonal_argument --[[User:ComplexZeta|ComplexZeta]] 01:25, 27 August 2006 (EDT) | ||
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| + | Thank you very much. —[[User:Boy Soprano II|Boy Soprano II]] 15:04, 27 August 2006 (EDT) | ||
Revision as of 14:04, 27 August 2006
I deleted the part that said that for no infinite set was there a bijection between the set and its power set. I am fairly certain that this is undecided. It certainly is known that the proposition 
is undecidable, so I am very suspicious of a proposition that such a cardinality as 
exists at all. Or are these cardinalities known to exist after all? If so, how are they defined? —Boy Soprano II 21:35, 26 August 2006 (EDT)
It is true (and decidable) that there is no bijection between a set and its power set. --ComplexZeta 21:45, 26 August 2006 (EDT)
Really? Where can I find a proof? Thanks. —Boy Soprano II 21:53, 26 August 2006 (EDT)
See the bottom of http://en.wikipedia.org/wiki/Cantor%27s_diagonal_argument --ComplexZeta 01:25, 27 August 2006 (EDT)
Thank you very much. —Boy Soprano II 15:04, 27 August 2006 (EDT)
