Re: November 25 is Infinite Clause day!!

From: George Greene (greeneg_at_cs.unc.edu)
Date: 11/26/04 

Date: 26 Nov 2004 12:35:25 -0800

herc777@hotmail.com wrote in message news:<1101112506.251348.179510@z14g2000cwz.googlegroups.com>...
> Barb Knox, George Green, Jesse James, John Savard, Dave B, you,
> Ullrich, Will and dozens of others have all been vocally opposed to me
> in their defence of Cantors diag proof. Now they are all silent? is
> it apathy?

No, it's knowing an idiot when we see one.

>
> This is the bait :
>
> > An infinite number of people toss a coin infinite times each.

This is already ambiguous. There is more than one kind of infinity.
One question: is there a LAST one of these infinite number of people?
If so, is there a LAST toss in any (or each) of their individual strings
of infinite tosses?

> Can you guarantee a new sequence of Heads and Tails?

This is simply meaningless. There are AN INFINITE NUMBER OF sequences
of heads and tails being generated here (one for each tosser).
They could all be the same. They could all be different. The
fact that the sample space is as big as it is means (among other
things) that usual notions of probability are IRRELEVANT to "can".
If I ask you to pick a natural number at random, the probability
that you will pick any PARTICULAR rational number is 0.
This question is simply STUPID.

> If the answer is NO, which I think most if not many people will agree
> it is,

They don't know ***. And YOU don't know what YOU mean by
"can you guarantee". In the first place, there are not now
nor will there ever be an infinite number of people in the world.
In the second place, even if there WERE an infinite number of people
in the world, the number of sequences-of-flips is a much BIGGER
infinity than that, so the probability of any particular sequence
occurring AT ALL (as 1 flipper's) IS 0. "Guarantee" a "new" sequence??
EVERY INDIVIDUAL flipper's sequence is "new"! It will CERTAINLY,
EVENTUALLY, be a sequence that NOBODY HAS EVER EVEN THOUGHT ABOUT before!

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