Re: Question: Given |X|>0 and |Y|>0, can X x Y be empty?
- From: george <greeneg@xxxxxxxxxx>
- Date: Thu, 09 Aug 2007 11:26:44 -0700
On Aug 2, 4:26 pm, Scott <ToaTe...@xxxxxxxxx> wrote:
Look, I think we've got off on the wrong foot. I asked a question, you
wanted the link/quote, the link/quote was useless so I didn't post it
and instead offered to post the context/proof in another thread (to
avoid confusion with the title of this one), you declined, David asked
for it too, I posted it, it was found useless,
It was not JUST found useless.
Somebody said that a set was empty.
You claimed that this somehow entitled you to lie (about that someone)
that he had said that the cross-product of two non-empty sets was
empty.
What you posted was useful in clarifying that, at least.
now you (maybe) want the proof.
An old proof (so old that you don't understand it) is of precious
little
value to those of us who do. What you should've done was throw the
Potter book away and just ask for a proof Cantor's Theorem.
If you do in fact already concede that that proof is valid, and, as
you claim, you dispute only the "implicit assumptions", then you need
to STATE at least ONE of those implicit assumptions EXplicitly.
You DO NOT need to tell us that you couldn't read somebody's
criticism of something you emailed him that was incoherent to begin
with.
Mis-communication to the extreme. I don't want to waste
people's time...
Liar.
Starting again. Can X x Y = emptyset if |X| > 0 and |Y| > 0.
No.
A
commenter said this is true in an email in response to proof I sent
him to review.
No, he didn't.
Two people have provided proof that this is false. My
question has been answered. Since people are concerned that I
frequently mis-interpret things, I am grateful that you are willing to
make sure I am not. Would you like the proof?
The proof OF WHAT?? WE certainly don't need to see a proof that XxY
empty
implies that X is empty or Y is. Do you??
I appreciate everyone's comments even though I can be frustrating
sometimes.
I'm doing my best to make that difficult.
It's very hard to appreciate any comment to the effect
that you are so bad at something that you should probably
just quit. At a bare minimum you need to go back to some
first lessons (in first-order logic) and STOP WORRYING ABOUT
anything as complicated as Cantor's Theorem.
.
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