Re: CH yet again.

On Mon, 30 Jan 2006 12:40:57 +0200, Aatu Koskensilta
<aatu.koskensilta@xxxxxxxxx> wrote:

>MoeBlee wrote:
>
>> Every cardinal is an aleph (if I'm not mistaken, that does not require
>> the axiom of choice).
>
>That every cardinal is an aleph - or, more precisely, that every set is
>equipollent to an initial ordinal - is equivalent to choice.

(Hint: Because it's clearly equivalent to the statement that
every set can be well-ordered.)


************************

David C. Ullrich
.

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