Lest any man or woman to challenge this claim to 1st correctly answer this question.

=================================================
How many flips of DIAG are on the infintie list of infinite coin flippers?
=================================================

Infinite people each flip coins, some infinite times each, can you always come
up with a new sequence of Heads and Tails?

AntiDiag =
|<------ How Many flips ? ------->|

Infinite Flippers List
1
2
3
4
5
....

Its not a hard question, remember John Savard's comment,
"a random real number will be on it to an infinite number of digits"

The p0int being lim x->oo in a billion texts is unrelated to cardinality theory
and people shouldn't be forced out of using the term.

Herc
--
Have you now or have you ever been a member of the antidisestablishmentarianism party?

From:	bryant_j_j at yahoo.com
Subject:	Re: I HEARBY CLAIM THE SYMBOL oo TO REFER TO UNCOUNTABLE INFINITY
Date:	19 Jan 2005 04:52:53 -0800

as you can see for yourself |-|erc, nobody is interested in you useless
question... they now that whatever they say they will only get into an
endless bickering with a moron.

From:	Aso Merapi
Subject:	Re: I HEARBY CLAIM THE SYMBOL oo TO REFER TO UNCOUNTABLE INFINITY
Date:	Wed, 19 Jan 2005 10:27:06 -0600

wrote in message
news:1106139173.296379.123450@z14g2000cwz.googlegroups.com...
> as you can see for yourself |-|erc, nobody is interested in you useless
> question... they now that whatever they say they will only get into an
> endless bickering with a moron.
>

The claim is Not granted.

oo consists of two symbols not one.

Try again.

From:	Will Twentyman
Subject:	Re: I HEARBY CLAIM THE SYMBOL oo TO REFER TO UNCOUNTABLE INFINITY
Date:	Wed, 19 Jan 2005 15:38:31 -0500

|-|erc wrote:

> Lest any man or woman to challenge this claim to 1st correctly answer this question.
>
> =================================================
> How many flips of DIAG are on the infintie list of infinite coin flippers?
> =================================================
>
> Infinite people each flip coins, some infinite times each, can you always come
> up with a new sequence of Heads and Tails?

Answered elsewhere.

>
> AntiDiag =
> |<------ How Many flips ? ------->|
>
>
> Infinite Flippers List
> 1
> 2
> 3
> 4
> 5
> ...
>
>
> Its not a hard question, remember John Savard's comment,
> "a random real number will be on it to an infinite number of digits"
>
> The p0int being lim x->oo in a billion texts is unrelated to cardinality theory
> and people shouldn't be forced out of using the term.

Then if you are talking about cardinality theory, why not use the
symbols from that theory when discussing cardinality instead of the
ambiguous and unrelated symbol oo?

--
Will Twentyman
email: wtwentyman at copper dot net

From:	bryant_j_j at yahoo.com
Subject:	Re: I HEARBY CLAIM THE SYMBOL oo TO REFER TO UNCOUNTABLE INFINITY
Date:	19 Jan 2005 04:37:13 -0800

you can claim whatever you want. now, go away...

From:	\|-\|erc
Subject:	Re: I HEARBY CLAIM THE SYMBOL oo TO REFER TO UNCOUNTABLE INFINITY
Date:	Wed, 19 Jan 2005 22:41:11 +1000

Let it be noted Bryant did not answer the question and has no say on the issue.

Herc

From:	Termite of Tempation
Subject:	Re: I HEARBY CLAIM THE SYMBOL oo TO REFER TO UNCOUNTABLE INFINITY
Date:	Wed, 19 Jan 2005 21:32:08 GMT

"|-|erc" wrote in message news:3572qbF4e7sctU1@individual.net...
> Let it be noted Bryant did not answer the question and has no say on the
issue.
>
> Herc

I seriously doubt that the destiny of the symbol oo will be decided on
sci.math.

Duncan

From:	Termite of Tempation
Subject:	Re: I HEARBY CLAIM THE SYMBOL oo TO REFER TO UNCOUNTABLE INFINITY
Date:	Wed, 19 Jan 2005 21:31:15 GMT

"|-|erc" wrote in message news:3572d3F4jdf8nU1@individual.net...
> Lest any man or woman to challenge this claim to 1st correctly answer this
question.
>
> =================================================
> How many flips of DIAG are on the infintie list of infinite coin
flippers?
> =================================================

Any finite subsequence of the antidiagonal of the list appears on the
infinite list. The infinite sequence does not, and clearly cannot, as it
differs from sequence (n) at position (n). I hope this answers your
bizarrely phrased question.

Why not try asking this question, which is equivalent?

Define A = { f:N->{H,T} } (A is the set of all functions from the naturals
to the set containing H and T, i.e. the set of all "infinite coin flippers")

Suppose l:N->A is a surjective function (l is the list which attaches a
natural number to each "infinite coin flipper" sequence, you call it the
"infinite flippers list")

Define g:N->{H,T} as follows - g(n)=(l(n))(n). This is the diagonal of l.
(l(n) is the nth "infinite coin flipper", so (l(n))(n) is the nth position
in the nth infinite coin flipper)

Define h:N->{H,T} by h(n)=H when g(n)=T and h(n)=T when g(n)=H (h is the
antidiagonal).

This is a much easier way to view the problem, rather than looking at the
functions as sequences of digits. Clearly h should be a member of A, because
it's a function from N to {H,T}, but it isn't, because it differs from every
member of A. This is a clear contradiction, so we must conclude that no
function l exists, and therefore N and A are not bijective and don't have
the same cardinality.

Is this what you're driving at?

> Infinite people each flip coins, some infinite times each, can you always
come
> up with a new sequence of Heads and Tails?
>
> AntiDiag =
> |<------ How Many flips ? ------->|
>
>
> Infinite Flippers List
> 1
> 2
> 3
> 4
> 5
> ...
>
>
> Its not a hard question, remember John Savard's comment,
> "a random real number will be on it to an infinite number of digits"
>
> The p0int being lim x->oo in a billion texts is unrelated to cardinality
theory
> and people shouldn't be forced out of using the term.

The oo in lim(x->oo) doesn't literally mean "as x goes to infinity", it has
very particular meaning involving certain conditions that are fulfilled for
large x. Infinity doesn't really have anything to do with it; it's merely a
convention.

Duncan

From:	\|-\|erc
Subject:	Re: I HEARBY CLAIM THE SYMBOL oo TO REFER TO UNCOUNTABLE INFINITY
Date:	Thu, 20 Jan 2005 11:18:44 +1000

> > =================================================
> > How many flips of DIAG are on the infintie list of infinite coin
> flippers?
> > =================================================
>
> Any finite subsequence of the antidiagonal of the list appears on the
> infinite list.

So how many flips of DIAG are in any finite subsequence of DIAG?

Herc

From:	lorber_sean2002 at yahoo.com
Subject:	Re: I HEARBY CLAIM THE SYMBOL oo TO REFER TO UNCOUNTABLE INFINITY
Date:	19 Jan 2005 19:45:52 -0800

I once did an experiment to see how many 'coin flips', 0 or 1 binary,
it would take to reproduce a 32 bit binary number.

On the first attempt you had 50% change of being correct, the 1st and
the second both being right was 25%, etc.

It turns out about 32 bits of tries was needed to randomly find the
sequence.

This was an attempt at data compression, which was fun, but by itself
not useful (or not useful at all perhaps)

Sean