Drexel dragonThe Math ForumDonate to the Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math.research

Topic: question on set theory
Replies: 4   Last Post: Jan 4, 2013 2:17 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]

Posts: 4
Registered: 1/2/13
Re: question on set theory
Posted: Jan 3, 2013 2:22 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Wednesday, January 2, 2013 3:30:01 PM UTC-5, Dan Luecking wrote:
> On Wed, 2 Jan 2013 17:37:20 +0000 (GMT),

Apologies everyone. I posted the question late at night and wrote the proposition backwards. I meant to say consider

Prop: If X < Y then P(X) < P(Y)

Can that be proved in ZFC? If not is it perhaps equivalent to generalized continuum hypothesis? It is easy to show in ZF with or without choice that that X < Y implies P(X)<=P(Y). But can it possibly be the case that X < Y but P(X)=P(Y)?


Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum 1994-2015. All Rights Reserved.