Re: A simple question?

Jesse F. Hughes wrote:
"MoeBlee" <jazzmobe@xxxxxxxxxxx> writes:

zuhair wrote:
Hi,

For w={ 0,1,2,3,....} , is P(w) a well ordered set?

You mean the power set of omega?

Your question is not complete.

Under what axioms?

A set is well ordered if there is a well ordering of the set.

That's a funny way to interpret his question. It seems to me that the
obvious interpretation is: Is the subset relation a well-ordering of
P(w)?

Then I just took the question too literally by failing to read into the
question that he was asking particularly about the subset relation on
the power set of omega.

But the answer is clearly no. The subset relation is not even a total
ordering of P(w).

We agree on that, of course.

MoeBlee

.

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