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 | | From: | |-|erc | | Subject: | How many flips of DIAG are on the infintie list of infinite con flippers ? | | Date: | Wed, 19 Jan 2005 17:22:41 +1000 |
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 | 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"
Herc
--
Have you now or have you ever been a member of the antidisestablishmentarianism party?
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| | From: | rupertmccallum at yahoo.com | | Subject: | Re: How many flips of DIAG are on the infintie list of infinite con flippers ? | | Date: | 20 Jan 2005 16:45:46 -0800 |
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|-|erc wrote:
> wrote in message
> >
> > |-|erc wrote:
> > > "The Ghost In The Machine"
wrote
> > in
> > > > >
> > > > > |-|erc wrote:
> > > > >> 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"
> > > > >>
> > > > >> Herc
> > > > >> --
> > > > >> Have you now or have you ever been a member of the
> > > > > antidisestablishmentarianism party?
> > > > >
> > > > > If it's a countable list, then you can always come up with a
new
> > > > > sequence.
> > > > >
> > > >
> > > > All lists are countable. The next question, of course,
> > > > is whether all of the reals can be organized into a list.
> > > >
> > > > (The answer, of course, is no.)
> > > >
> > >
> > > The question is in the subject line!!!!!!!!!!!!!!!!!!
> > > How many hundred times will this be evaded?
> > > Re: How many flips of DIAG are on the infintie list of infinite
con
> > flippers?
> > >
> > > Herc
> >
> > There isn't enough information. It is possible that there exists a
> > sequence in the list agreeing with DIAG to one digit, two digits,
three
> > digits... It is possible that there exist sequences on the list
> > agreeing with DIAG to every finite number of digits. The only thing
we
> > can be sure is that there does not exist a sequence on the list
> > agreeing with DIAG at all digits.
> >
>
> I don't know why you all take the P=0 possibilty that there is some
finite limit
> just because its random.
>
> Use this as the set of flippers, for some UTM.
>
> UTM(person, flip) mod 2
>
> Herc
Then DIAG will not be on the list, although for every k there will
exist a sequence on the list such that DIAG agrees with it to the first
k digits.
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| | From: | rupertmccallum at yahoo.com | | Subject: | Re: How many flips of DIAG are on the infintie list of infinite con flippers ? | | Date: | 19 Jan 2005 18:39:23 -0800 |
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|-|erc wrote:
> "The Ghost In The Machine" wrote
in
> > >
> > > |-|erc wrote:
> > >> 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"
> > >>
> > >> Herc
> > >> --
> > >> Have you now or have you ever been a member of the
> > > antidisestablishmentarianism party?
> > >
> > > If it's a countable list, then you can always come up with a new
> > > sequence.
> > >
> >
> > All lists are countable. The next question, of course,
> > is whether all of the reals can be organized into a list.
> >
> > (The answer, of course, is no.)
> >
>
> The question is in the subject line!!!!!!!!!!!!!!!!!!
> How many hundred times will this be evaded?
> Re: How many flips of DIAG are on the infintie list of infinite con
flippers?
>
> Herc
There isn't enough information. It is possible that there exists a
sequence in the list agreeing with DIAG to one digit, two digits, three
digits... It is possible that there exist sequences on the list
agreeing with DIAG to every finite number of digits. The only thing we
can be sure is that there does not exist a sequence on the list
agreeing with DIAG at all digits.
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| | From: | |-|erc | | Subject: | Re: How many flips of DIAG are on the infintie list of infinite con flippers ? | | Date: | Thu, 20 Jan 2005 12:47:47 +1000 |
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|
| wrote in message
>
> |-|erc wrote:
> > "The Ghost In The Machine" wrote
> in
> > > >
> > > > |-|erc wrote:
> > > >> 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"
> > > >>
> > > >> Herc
> > > >> --
> > > >> Have you now or have you ever been a member of the
> > > > antidisestablishmentarianism party?
> > > >
> > > > If it's a countable list, then you can always come up with a new
> > > > sequence.
> > > >
> > >
> > > All lists are countable. The next question, of course,
> > > is whether all of the reals can be organized into a list.
> > >
> > > (The answer, of course, is no.)
> > >
> >
> > The question is in the subject line!!!!!!!!!!!!!!!!!!
> > How many hundred times will this be evaded?
> > Re: How many flips of DIAG are on the infintie list of infinite con
> flippers?
> >
> > Herc
>
> There isn't enough information. It is possible that there exists a
> sequence in the list agreeing with DIAG to one digit, two digits, three
> digits... It is possible that there exist sequences on the list
> agreeing with DIAG to every finite number of digits. The only thing we
> can be sure is that there does not exist a sequence on the list
> agreeing with DIAG at all digits.
>
I don't know why you all take the P=0 possibilty that there is some finite limit
just because its random.
Use this as the set of flippers, for some UTM.
UTM(person, flip) mod 2
Herc
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| | From: | rupertmccallum at yahoo.com | | Subject: | Re: How many flips of DIAG are on the infintie list of infinite con flippers ? | | Date: | 18 Jan 2005 23:56:49 -0800 |
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|-|erc wrote:
> 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"
>
> Herc
> --
> Have you now or have you ever been a member of the
antidisestablishmentarianism party?
If it's a countable list, then you can always come up with a new
sequence.
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| | From: | The Ghost In The Machine | | Subject: | Re: How many flips of DIAG are on the infintie list of infinite con flippers ? | | Date: | Wed, 19 Jan 2005 15:01:41 GMT |
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|
| In sci.logic, rupertmccallum@yahoo.com
wrote
on 18 Jan 2005 23:56:49 -0800
<1106121409.656607.128010@c13g2000cwb.googlegroups.com>:
>
> |-|erc wrote:
>> 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"
>>
>> Herc
>> --
>> Have you now or have you ever been a member of the
> antidisestablishmentarianism party?
>
> If it's a countable list, then you can always come up with a new
> sequence.
>
All lists are countable. The next question, of course,
is whether all of the reals can be organized into a list.
(The answer, of course, is no.)
--
#191, ewill3@earthlink.net
It's still legal to go .sigless.
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| | From: | |-|erc | | Subject: | Re: How many flips of DIAG are on the infintie list of infinite con flippers ? | | Date: | Thu, 20 Jan 2005 11:15:20 +1000 |
|
|
| "The Ghost In The Machine" wrote in
> >
> > |-|erc wrote:
> >> 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"
> >>
> >> Herc
> >> --
> >> Have you now or have you ever been a member of the
> > antidisestablishmentarianism party?
> >
> > If it's a countable list, then you can always come up with a new
> > sequence.
> >
>
> All lists are countable. The next question, of course,
> is whether all of the reals can be organized into a list.
>
> (The answer, of course, is no.)
>
The question is in the subject line!!!!!!!!!!!!!!!!!!
How many hundred times will this be evaded?
Re: How many flips of DIAG are on the infintie list of infinite con flippers?
Herc
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| | From: | The Ghost In The Machine | | Subject: | Re: How many flips of DIAG are on the infintie list of infinite con flippers ? | | Date: | Thu, 20 Jan 2005 15:00:20 GMT |
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|
| In sci.logic, |-|erc
wrote
on Thu, 20 Jan 2005 11:15:20 +1000
<358f08F4iqqohU1@individual.net>:
> "The Ghost In The Machine" wrote in
>> >
>> > |-|erc wrote:
>> >> 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"
>> >>
>> >> Herc
>> >> --
>> >> Have you now or have you ever been a member of the
>> > antidisestablishmentarianism party?
>> >
>> > If it's a countable list, then you can always come up with a new
>> > sequence.
>> >
>>
>> All lists are countable. The next question, of course,
>> is whether all of the reals can be organized into a list.
>>
>> (The answer, of course, is no.)
>>
>
> The question is in the subject line!!!!!!!!!!!!!!!!!!
> How many hundred times will this be evaded?
> Re: How many flips of DIAG are on the infintie list of
> infinite con flippers?
Oh, well, in that case all flips of diag are on the sequence,
just not in the right place. For example, if we reprise
your sequence:
>> >> AntiDiag =
>> >> 1
>> >> 2
>> >> 3
>> >> 4
>> >> 5
it's clear that the first flip of AntiDiag is at [1,2], [1,4], ...,
[2,3], [2,5], [2,7], ...
the second, third, and fourth flips are also in those locations,
and the fifth through eigth flips are at positions [1,1], [1,3], [1,5],
...., [2,1], [2,2], [2,4], [2,6], ...
This is probably not what you meant to ask. Please rephrase your
question.
>
> Herc
>
--
#191, ewill3@earthlink.net
It's still legal to go .sigless.
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| | From: | |-|erc | | Subject: | Re: How many flips of DIAG are on the infintie list of infinite con flippers ? | | Date: | Wed, 19 Jan 2005 18:37:32 +1000 |
|
|
| > > 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"
> >
> > Herc
> > --
> > Have you now or have you ever been a member of the
> antidisestablishmentarianism party?
>
> If it's a countable list, then you can always come up with a new
> sequence.
>
Partial credit
Herc
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