Re: An astonishing application of the AC

On 2008-02-01, mensanator@xxxxxxxxxxx <mensanator@xxxxxxx> wrote:
I thought you said infinite? Where is "the back of the line" on an
infinite line?

An infinite set can be well-ordered. E.g. assign each prisoner a
natural number, and suppose that they can each see the hat colours for
all prisoners with number greater than theirs.

So there's no front of the line, but there is a back.


Allowing prisoners to communicate not just infinite information but
*uncountably* infinite information should be expected to yield results
that are somewhat surprising.


- Tim
.