Difference between revisions of "Talk:Power set"

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AoPSWiki Article of the Day
Power set was the AoPSWiki Article of the Day for January 25th, 2008

I claimed that that proof doesn't rely on the axiom of choice: is this really true? --JBL 11:56, 7 September 2006 (EDT)

Revision as of 20:35, 26 August 2006 (view source) Boy Soprano II (talk \| contribs)		Latest revision as of 19:35, 25 January 2008 (view source) Temperal (talk \| contribs) (hm)
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−	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 <math>\displaystyle 2^{~~\aleph _~~{n} } ~~= \aleph _{ n+1~~ }~~</math> is undecidable, so~~ I ~~am very suspicious~~ of ~~a proposition that such a cardinality as <math>\displaystyle \aleph _{n>1} </math> exists at all. Or are these cardinalities known to exist after all~~? ~~If so, how are they defined? —~~[[User:~~Boy Soprano II~~\|~~Boy Soprano II~~]] 21:35, ~~26 August~~ 2006 (EDT)	+	{{AotD tag\|January 25th, 2008}}
		+	I claimed that that proof doesn't rely on the axiom of choice: is this really true? --[[User:JBL\|JBL]] 11:56, 7 September 2006 (EDT)