Re: Every set can be ... ordered?


tchow@xxxxxxxxxxxxx wrote:
In article <1156564386.008543.306640@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
Rupert <rupertmccallum@xxxxxxxxx> wrote:
Yes, your proof works as well. Also, {<x,x>|x in X} is always a partial
ordering on X, so the result really is trivial.

Isn't it even more trivial than that? Surely the empty set is always a
partial ordering on X.
--
Tim Chow tchow-at-alum-dot-mit-dot-edu
The range of our projectiles---even ... the artillery---however great, will
never exceed four of those miles of which as many thousand separate us from
the center of the earth. ---Galileo, Dialogues Concerning Two New Sciences

It depends whether you mean a sharp partial order or a blunt partial
order. Blunt partial orders are reflexive, sharp partial orders are
irreflexive.

.