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Re: Every set x equinumerous with a set y disjoint from x?

Subject: Re: Every set x equinumerous with a set y disjoint from x?
From: "MoeBlee"
Date: 29 Aug 2006 15:51:25 -0700
Newsgroups: sci.logic
MoeBlee wrote:
> How do we show there is a surjection from S to T without the axiom of
> choice?

Strike that question now. Menzel showed how to do it.

> I don't see how to show PS\T not= 0 without again using the axiom of
> choice. I figure it this way:

Strike that. I figured out how to do it.

So I have two proofs, Ullrich's and Rupert's that both answer my
question.

Thanks to everyone for their help.

MoeBlee


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