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tech / sci.math / Cantor's notion of countability is trash.

SubjectAuthor
* Cantor's notion of countability is trash.WM
+* Re: Cantor's notion of countability is trash.sergio
|+- Re: Cantor's notion of countability is trash.sergio
|`- Re: Cantor's notion of countability is trash.Ross A. Finlayson
+- Re: Cantor's notion of countability is trash.FromTheRafters
+- Re: Cantor's notion of countability is trash.Gus Gassmann
+- Re: Cantor's notion of countability is trash.Mathin3D
+* Re: Cantor's notion of countability is trash.zelos...@gmail.com
|`* Re: Cantor's notion of countability is trash.WM
| +* Re: Cantor's notion of countability is trash.sergio
| |`* Re: Cantor's notion of countability is trash.Ross A. Finlayson
| | `* Re: Cantor's notion of countability is trash.sergio
| |  `- Re: Cantor's notion of countability is trash.Ross A. Finlayson
| +* Re: Cantor's notion of countability is trash.Gus Gassmann
| |`* Re: Cantor's notion of countability is trash.WM
| | +* Re: Cantor's notion of countability is trash.Gus Gassmann
| | |`- Re: Cantor's notion of countability is trash.Dan Christensen
| | `- Re: Cantor's notion of countability is trash.sergio
| `- Re: Cantor's notion of countability is trash.zelos...@gmail.com
+- Re: Cantor's notion of countability is trash.Eram semper recta
+* Re: Cantor's notion of countability is trash.Dan Christensen
|`* Re: Cantor's notion of countability is trash.WM
| +- Re: Cantor's notion of countability is trash.sergio
| +- Re: Cantor's notion of countability is trash.Dan Christensen
| +* Re: Cantor's notion of countability is trash.Eram semper recta
| |+- Re: Cantor's notion of countability is trash.zelos...@gmail.com
| |+- STUDENTS BEWARE: Don't be a victim of JG's fake mathDan Christensen
| |`* Re: Cantor's notion of countability is trash.WM
| | +- Re: Cantor's notion of countability is trash.FromTheRafters
| | +- Re: Cantor's notion of countability is trash.sergio
| | +- Re: Cantor's notion of countability is trash.Eram semper recta
| | `* Re: Cantor's notion of countability is trash.zelos...@gmail.com
| |  `* Re: Cantor's notion of countability is trash.WM
| |   +- Re: Cantor's notion of countability is trash.FromTheRafters
| |   `* Re: Cantor's notion of countability is trash.sergio
| |    +* Re: Cantor's notion of countability is trash.Ross A. Finlayson
| |    |`* Re: Cantor's notion of countability is trash.sergio
| |    | `- Re: Cantor's notion of countability is trash.Ross A. Finlayson
| |    `- Re: Cantor's notion of countability is trash.Takabe Matsumura
| `- Re: Cantor's notion of countability is trash.zelos...@gmail.com
+* Re: Cantor's notion of countability is trash.Eram semper recta
|+- Re: Cantor's notion of countability is trash.zelos...@gmail.com
|+* Re: Cantor's notion of countability is trash.WM
||+* Re: Cantor's notion of countability is trash.FromTheRafters
|||`* Re: Cantor's notion of countability is trash.WM
||| `* Re: Cantor's notion of countability is trash.FromTheRafters
|||  `* Re: Cantor's notion of countability is trash.WM
|||   +* Re: Cantor's notion of countability is trash.sergio
|||   |+- Re: Cantor's notion of countability is trash.Ross A. Finlayson
|||   |`* Re: Cantor's notion of countability is trash.WM
|||   | +* Re: Cantor's notion of countability is trash.Gus Gassmann
|||   | |`* Re: Cantor's notion of countability is trash.WM
|||   | | +* Re: Cantor's notion of countability is trash.Gus Gassmann
|||   | | |`* Re: Cantor's notion of countability is trash.WM
|||   | | | +* Re: Cantor's notion of countability is trash.Eram semper recta
|||   | | | |`- Re: Cantor's notion of countability is trash.Eram semper recta
|||   | | | +- Re: Cantor's notion of countability is trash.Gus Gassmann
|||   | | | +- Re: Cantor's notion of countability is trash.Russ Diaz
|||   | | | `- Re: Cantor's notion of countability is trash.sergio
|||   | | `* Re: Cantor's notion of countability is trash.sergio
|||   | |  `* Re: Cantor's notion of countability is trash.WM
|||   | |   `- Re: Cantor's notion of countability is trash.sergio
|||   | +* Re: Cantor's notion of countability is trash.sergio
|||   | |`* Re: Cantor's notion of countability is trash.FromTheRafters
|||   | | +* Re: Cantor's notion of countability is trash.Ross A. Finlayson
|||   | | |`* Re: Cantor's notion of countability is trash.FromTheRafters
|||   | | | +* Re: Cantor's notion of countability is trash.sergio
|||   | | | |`* Re: Cantor's notion of countability is trash.FredJeffries
|||   | | | | `- Re: Cantor's notion of countability is trash.sergio
|||   | | | `* Re: Cantor's notion of countability is trash.Ross A. Finlayson
|||   | | |  `- Re: Cantor's notion of countability is trash.sergio
|||   | | `- Re: Cantor's notion of countability is trash.sergio
|||   | `* Re: Cantor's notion of countability is trash.zelos...@gmail.com
|||   |  `* Re: Cantor's notion of countability is trash.WM
|||   |   +* Re: Cantor's notion of countability is trash.FromTheRafters
|||   |   |`* Re: Cantor's notion of countability is trash.WM
|||   |   | `* Re: Cantor's notion of countability is trash.FromTheRafters
|||   |   |  `* Re: Cantor's notion of countability is trash.WM
|||   |   |   +- Re: Cantor's notion of countability is trash.sergio
|||   |   |   `- Re: Cantor's notion of countability is trash.Eram semper recta
|||   |   +- Re: Cantor's notion of countability is trash.sergio
|||   |   `* Re: Cantor's notion of countability is trash.Alan Mackenzie
|||   |    `* Re: Cantor's notion of countability is trash.WM
|||   |     `- Re: Cantor's notion of countability is trash.sergio
|||   +* Re: Cantor's notion of countability is trash.Eram semper recta
|||   |+* Re: Cantor's notion of countability is trash.Eram semper recta
|||   ||+* Re: Cantor's notion of countability is trash.Eram semper recta
|||   |||`* Re: Cantor's notion of countability is trash.Eram semper recta
|||   ||| `- Re: Cantor's notion of countability is trash.Eram semper recta
|||   ||`* Re: Cantor's notion of countability is trash.zelos...@gmail.com
|||   || `* Re: Cantor's notion of countability is trash.Takabe Matsumura
|||   ||  `- Re: Cantor's notion of countability is trash.zelos...@gmail.com
|||   |`- Re: Cantor's notion of countability is trash.zelos...@gmail.com
|||   +* Re: Cantor's notion of countability is trash.Jim Burns
|||   |+* Re: Cantor's notion of countability is trash.Ross A. Finlayson
|||   ||`- Re: Cantor's notion of countability is trash.Takabe Matsumura
|||   |`* Re: Cantor's notion of countability is trash.WM
|||   | +- Re: Cantor's notion of countability is trash.sergio
|||   | +- Re: Cantor's notion of countability is trash.Takabe Matsumura
|||   | +* Re: Cantor's notion of countability is trash.Jim Burns
|||   | |`* Re: Cantor's notion of countability is trash.WM
|||   | `* Re: Cantor's notion of countability is trash.Eram semper recta
|||   `- Re: Cantor's notion of countability is trash.zelos...@gmail.com
||`- Re: Cantor's notion of countability is trash.zelos...@gmail.com
|`- Re: Cantor's notion of countability is trash.Mathin3D
+* Bullshit baffles brains.Eram semper recta
+* Re: Cantor's notion of countability is trash.David Petry
`* Re: Cantor's notion of countability is trash.mitchr...@gmail.com

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Cantor's notion of countability is trash.

<1b2a6b63-c249-413f-891d-b382fc9d2fben@googlegroups.com>

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Subject: Cantor's notion of countability is trash.
From: askaske...@gmail.com (WM)
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 by: WM - Sat, 19 Mar 2022 16:35 UTC

There is no permutation of the Xs in

XOOO...
XOOO...
XOOO...
XOOO...
....

such that all positions are covered by Xs.

If it were, it would imply, that in the sequence

XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...

all Os could be covered by the X.

Therefore Cantor's notion of countability is trash.

Regards, WM

Re: Cantor's notion of countability is trash.

<t151t3$vgv$1@gioia.aioe.org>

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From: inva...@invalid.com (sergio)
Newsgroups: sci.math
Subject: Re: Cantor's notion of countability is trash.
Date: Sat, 19 Mar 2022 11:54:58 -0500
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 by: sergio - Sat, 19 Mar 2022 16:54 UTC

On 3/19/2022 11:35 AM, WM wrote:
> There is no permutation of the Xs in
>
> XOOO...
> XOOO...
> XOOO...
> XOOO...
> ...
>
> such that all positions are covered by Xs.
>
> If it were, it would imply, that in the sequence
>
> XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...
>
> all Os could be covered by the X.
>
> Therefore Cantor's notion of countability is trash.
>
> Regards, WM
>

The above besides being meaningless, has nothing at all to do with countablility, Pupa.

Re: Cantor's notion of countability is trash.

<t159bh$6bo$1@dont-email.me>

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From: erra...@nomail.afraid.org (FromTheRafters)
Newsgroups: sci.math
Subject: Re: Cantor's notion of countability is trash.
Date: Sat, 19 Mar 2022 15:01:50 -0400
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 by: FromTheRafters - Sat, 19 Mar 2022 19:01 UTC

on 3/19/2022, WM supposed :
> There is no permutation of the Xs in
>
> XOOO...
> XOOO...
> XOOO...
> XOOO...
> ...
>
> such that all positions are covered by Xs.
>
> If it were, it would imply, that in the sequence
>
> XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...
>
> all Os could be covered by the X.
>
> Therefore Cantor's notion of countability is trash.

"Das ist nicht nur nicht richtig; es ist nicht einmal falsch!"

Re: Cantor's notion of countability is trash.

<t15aid$1101$1@gioia.aioe.org>

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From: inva...@invalid.com (sergio)
Newsgroups: sci.math
Subject: Re: Cantor's notion of countability is trash.
Date: Sat, 19 Mar 2022 14:22:51 -0500
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 by: sergio - Sat, 19 Mar 2022 19:22 UTC

On 3/19/2022 11:54 AM, sergio wrote:
> On 3/19/2022 11:35 AM, WM wrote:
>> There is no permutation of the Xs in
>>
>> XOOO...
>> XOOO...
>> XOOO...
>> XOOO...
>> ...
>>
>> such that all positions are covered by Xs.
>>
>> If it were, it would imply, that in the sequence
>>
>> XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...
>>
>> all Os could be covered by the X.
>>
>> Therefore Cantor's notion of countability is trash.
>>
>> Regards, WM
>>
>
>
> The above besides being meaningless, has nothing at all to do with countablility, Pupa.
>

Das Obige ist nicht nur bedeutungslos, sondern hat überhaupt nichts mit Countablility zu tun, Pupa.

Re: Cantor's notion of countability is trash.

<24b9410d-8a03-4bb7-9ba7-e0ee4894d34bn@googlegroups.com>

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Subject: Re: Cantor's notion of countability is trash.
From: horand.g...@gmail.com (Gus Gassmann)
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 by: Gus Gassmann - Sun, 20 Mar 2022 14:41 UTC

On Saturday, 19 March 2022 at 13:35:13 UTC-3, WM wrote:
> There is no permutation of the Xs in
>
> XOOO...
> XOOO...
> XOOO...
> XOOO...
> ...
>
> such that all positions are covered by Xs.
>
> If it were, it would imply, that in the sequence
>
> XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...
>
> all Os could be covered by the X.
>
> Therefore Cantor's notion of countability is trash.

What is trash is your idiocy to think that one X and an infinite number of them must necessarily be able to perform *ALL* the same functions. That, of course, is nonsense, I suspect a brain fart either due to your dementia or to your excessive use of alcohol or some other recreational drug.

Re: Cantor's notion of countability is trash.

<8005abd1-7622-4be1-89d3-c6f742dcd761n@googlegroups.com>

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Subject: Re: Cantor's notion of countability is trash.
From: ross.fin...@gmail.com (Ross A. Finlayson)
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 by: Ross A. Finlayson - Sun, 20 Mar 2022 19:27 UTC

On Saturday, March 19, 2022 at 9:55:12 AM UTC-7, sergio wrote:
> On 3/19/2022 11:35 AM, WM wrote:
> > There is no permutation of the Xs in
> >
> > XOOO...
> > XOOO...
> > XOOO...
> > XOOO...
> > ...
> >
> > such that all positions are covered by Xs.
> >
> > If it were, it would imply, that in the sequence
> >
> > XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...
> >
> > all Os could be covered by the X.
> >
> > Therefore Cantor's notion of countability is trash.
> >
> > Regards, WM
> >
> The above besides being meaningless, has nothing at all to do with countablility, Pupa.

Maybe it would help to consider the space of words and the
space of numbers as various things.

I.e. the "language of {0,1} Cantor space" and "range of
all infinite 0-1 sequences Cantor space" as different things,
though of course that in the finite they're same, that in the
infinite they're not quite same. This then helps distinguish
any difference between "counting" and "numbering" and helps
explain why "the trans-finite well-ordered is defined ordinary"
while "numbering infinity doesn't necessarily admit a standard model".

Of course WM is rather a drunk nincompoop but that doesn't mean
that because idiots argue against something that there isn't
something along those lines.

I like to think about the space of words and space of numbers as
along the lines of "it's all 0's and 1's down there but all true and
false up here", the same space of all values and ideas.

Then, for Cantor space 0-1 sequences, or 2^w, is that basically
there certainly _is_ a notion of said space what is "square", besides
the usual notion that "as b^p is exponential in p it's entirely narrow".

Re: Cantor's notion of countability is trash.

<51842aa8-cd21-48f7-8a7e-0f317f3b1534n@googlegroups.com>

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Subject: Re: Cantor's notion of countability is trash.
From: mathi...@gmail.com (Mathin3D)
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 by: Mathin3D - Sun, 20 Mar 2022 20:39 UTC

You fuc ing rit rd, are you trying to rise the ranks among the math.sci crackpots? You have a long ways to go!!!

On Saturday, March 19, 2022 at 12:35:13 PM UTC-4, WM wrote:
> There is no permutation of the Xs in
>
> XOOO...
> XOOO...
> XOOO...
> XOOO...
> ...
>
> such that all positions are covered by Xs.
>
> If it were, it would imply, that in the sequence
>
> XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...
>
> all Os could be covered by the X.
>
> Therefore Cantor's notion of countability is trash.
>
> Regards, WM

Re: Cantor's notion of countability is trash.

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Subject: Re: Cantor's notion of countability is trash.
From: zelos.ma...@gmail.com (zelos...@gmail.com)
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 by: zelos...@gmail.com - Mon, 21 Mar 2022 05:14 UTC

lördag 19 mars 2022 kl. 17:35:13 UTC+1 skrev WM:
> There is no permutation of the Xs in
>
> XOOO...
> XOOO...
> XOOO...
> XOOO...
> ...
>
> such that all positions are covered by Xs.
>
> If it were, it would imply, that in the sequence
>
> XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...
>
> all Os could be covered by the X.
>
> Therefore Cantor's notion of countability is trash.
>
> Regards, WM

Nope, it works just fine. It is your argument that is fundamentally flawed.

Re: Cantor's notion of countability is trash.

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Subject: Re: Cantor's notion of countability is trash.
From: thenewca...@gmail.com (Eram semper recta)
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 by: Eram semper recta - Mon, 21 Mar 2022 13:13 UTC

On Saturday, 19 March 2022 at 18:35:13 UTC+2, WM wrote:
> There is no permutation of the Xs in
>
> XOOO...
> XOOO...
> XOOO...
> XOOO...
> ...
>
> such that all positions are covered by Xs.

Right. It's like saying that all the blanks in a given radix systems are filled with 3s, that is, 0.333... where X=3.
>
> If it were, it would imply, that in the sequence
>
> XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...
>
> all Os could be covered by the X.

Or all the blanks covered by the 3.
>
> Therefore Cantor's notion of countability is trash.

Chuckle. Wolfgang, you are a persistent man, but you can't fix stupid. No amount of reason or logic will convince cranks because by definition:

A crank is one who cannot be convinced in the face of overwhelming evidence.

>
> Regards, WM

Here you are still arguing about that delusional moron Georg Cantor's "Diagonal Argument"... tsk, tsk.

Of course Cuntor's notion of "cuntability" is a load of trash.

Georg Cantor is the Father of all mainstream mathematical cranks.

Re: Cantor's notion of countability is trash.

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Subject: Re: Cantor's notion of countability is trash.
From: askaske...@gmail.com (WM)
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 by: WM - Mon, 21 Mar 2022 14:10 UTC

zelos...@gmail.com schrieb am Montag, 21. März 2022 um 06:14:34 UTC+1:
> lördag 19 mars 2022 kl. 17:35:13 UTC+1 skrev WM:
> > There is no permutation of the Xs in
> >
> > XOOO...
> > XOOO...
> > XOOO...
> > XOOO...
> > ...
> >
> > such that all positions are covered by Xs.
> >
> > If it were, it would imply, that in the sequence
> >
> > XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...
> >
> > all Os could be covered by the X.
> >
> > Therefore Cantor's notion of countability is trash.
> >
> Nope, it works just fine.

It works according to (n + m)(n + m + 1)/2 + m = k. Alas for every such k the set of O's has not changed by more than zero.

> It is your argument that is fundamentally flawed.

Why? Look, you can also try to bring the fractions into the first column. Also here you fail for every natural number k

1/1, 1/2, 1/3, 1/4, ...
2/1, 2/2, 2/3, 2/4, ...
3/1, 3/2, 3/3, 3/4, ...
4/1, 4/2, 4/3, 4/4, ...
5/1, 5/2, 5/3, 5/4, ...
....

1/1, 2/1, 1/3, 1/4, ... 1/1, 3/1, 1/3, 1/4, ... 1/1, 3/1, 4/1, 1/4, ... 1/1, 3/1, 4/1, 1/4, ...
1/2, 2/2, 2/3, 2/4, ... 1/2, 2/2, 2/3, 2/4, ... 1/2, 2/2, 2/3, 2/4, ... 1/2, 5/1, 2/3, 2/4, ...
3/1, 3/2, 3/3, 3/4, ... 2/1, 3/2, 3/3, 3/4, ... 2/1, 3/2, 3/3, 3/4, ... 2/1, 3/2, 3/3, 3/4, ...
4/1, 4/2, 4/3, 4/4, ... 4/1, 4/2, 4/3, 4/4, ... 1/3, 4/2, 4/3, 4/4, ... 1/3, 4/2, 4/3, 4/4, ...
5/1, 5/2, 5/3, 5/4, ... 5/1, 5/2, 5/3, 5/4, ... 5/1, 5/2, 5/3, 5/4, ... 2/2, 5/2, 5/3, 5/4, ...
.... ... ... ...

to lear any position. let alone reaching

1/1, __, __, __, ...
1/2, __, __, __, ...
2/1, __, __, __, ...
1/3, __, __, __, ...
2/2, __, __, __, ...
....

Cantor's notion of countability is trash.

Regards, WM

Re: Cantor's notion of countability is trash.

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Subject: Re: Cantor's notion of countability is trash.
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 by: sergio - Mon, 21 Mar 2022 14:19 UTC

On 3/21/2022 9:10 AM, WM wrote:
> zelos...@gmail.com schrieb am Montag, 21. März 2022 um 06:14:34 UTC+1:
>> lördag 19 mars 2022 kl. 17:35:13 UTC+1 skrev WM:
>>> There is no permutation of the Xs in
>>>
>>>
>>>
>>> Therefore Cantor's notion of countability is trash.
>>>
>> Nope, it works just fine.
>
> It works according to (n + m)(n + m + 1)/2 + m = k. Alas for every such k the set of O's has not changed by more than zero.

Fail. No set of O's is required, that is diversion, red herring.

>
>> It is your argument that is fundamentally flawed.
>

<snip crap>

>
> Cantor's notion of countability is trash.

Fail. Your graphics are not math at all.

>
> Regards, WM

Re: Cantor's notion of countability is trash.

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Subject: Re: Cantor's notion of countability is trash.
From: ross.fin...@gmail.com (Ross A. Finlayson)
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 by: Ross A. Finlayson - Mon, 21 Mar 2022 14:39 UTC

On Monday, March 21, 2022 at 7:19:31 AM UTC-7, sergio wrote:
> On 3/21/2022 9:10 AM, WM wrote:
> > zelos...@gmail.com schrieb am Montag, 21. März 2022 um 06:14:34 UTC+1:
> >> lördag 19 mars 2022 kl. 17:35:13 UTC+1 skrev WM:
> >>> There is no permutation of the Xs in
> >>>
> >>>
> >>>
> >>> Therefore Cantor's notion of countability is trash.
> >>>
> >> Nope, it works just fine.
> >
> > It works according to (n + m)(n + m + 1)/2 + m = k. Alas for every such k the set of O's has not changed by more than zero.
> Fail. No set of O's is required, that is diversion, red herring.
> >
> >> It is your argument that is fundamentally flawed.
> >
> <snip crap>
> >
> > Cantor's notion of countability is trash.
> Fail. Your graphics are not math at all.
>
>
> >
> > Regards, WM

Are you sure they're his? What if it's a sockpuppet?

(A sockpuppet is a fake troll. Not sure how to unmask sockpuppets,
but if you decapitate it it might take the hand with it.)

Re: Cantor's notion of countability is trash.

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Newsgroups: sci.math
Subject: Re: Cantor's notion of countability is trash.
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 by: sergio - Mon, 21 Mar 2022 14:53 UTC

On 3/21/2022 9:39 AM, Ross A. Finlayson wrote:
> On Monday, March 21, 2022 at 7:19:31 AM UTC-7, sergio wrote:
>> On 3/21/2022 9:10 AM, WM wrote:
>>> zelos...@gmail.com schrieb am Montag, 21. März 2022 um 06:14:34 UTC+1:
>>>> lördag 19 mars 2022 kl. 17:35:13 UTC+1 skrev WM:
>>>>> There is no permutation of the Xs in
>>>>>
>>>>>
>>>>>
>>>>> Therefore Cantor's notion of countability is trash.
>>>>>
>>>> Nope, it works just fine.
>>>
>>> It works according to (n + m)(n + m + 1)/2 + m = k. Alas for every such k the set of O's has not changed by more than zero.
>> Fail. No set of O's is required, that is diversion, red herring.
>>>
>>>> It is your argument that is fundamentally flawed.
>>>
>> <snip crap>
>>>
>>> Cantor's notion of countability is trash.
>> Fail. Your graphics are not math at all.
>>
>>
>>>
>>> Regards, WM
>
> Are you sure they're his? What if it's a sockpuppet?
>
> (A sockpuppet is a fake troll. Not sure how to unmask sockpuppets,
> but if you decapitate it it might take the hand with it.)

it would make sense, as this guy knows nothing about math, no algebra, nothing higher than addition.

but his google account seems consistent;

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Re: Cantor's notion of countability is trash.

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Subject: Re: Cantor's notion of countability is trash.
From: horand.g...@gmail.com (Gus Gassmann)
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 by: Gus Gassmann - Mon, 21 Mar 2022 16:16 UTC

On Monday, 21 March 2022 at 11:10:22 UTC-3, WM wrote:
> zelos...@gmail.com schrieb am Montag, 21. März 2022 um 06:14:34 UTC+1:
[...]
> > It is your argument that is fundamentally flawed.
> Why? Look, you can also try to bring the fractions into the first column. Also here you fail for every natural number k
>
> 1/1, 1/2, 1/3, 1/4, ...
> 2/1, 2/2, 2/3, 2/4, ...
> 3/1, 3/2, 3/3, 3/4, ...
> 4/1, 4/2, 4/3, 4/4, ...
> 5/1, 5/2, 5/3, 5/4, ...
> ...
>
> 1/1, 2/1, 1/3, 1/4, ... 1/1, 3/1, 1/3, 1/4, ... 1/1, 3/1, 4/1, 1/4, ... 1/1, 3/1, 4/1, 1/4, ...
> 1/2, 2/2, 2/3, 2/4, ... 1/2, 2/2, 2/3, 2/4, ... 1/2, 2/2, 2/3, 2/4, ... 1/2, 5/1, 2/3, 2/4, ...
> 3/1, 3/2, 3/3, 3/4, ... 2/1, 3/2, 3/3, 3/4, ... 2/1, 3/2, 3/3, 3/4, ... 2/1, 3/2, 3/3, 3/4, ...
> 4/1, 4/2, 4/3, 4/4, ... 4/1, 4/2, 4/3, 4/4, ... 1/3, 4/2, 4/3, 4/4, ... 1/3, 4/2, 4/3, 4/4, ...
> 5/1, 5/2, 5/3, 5/4, ... 5/1, 5/2, 5/3, 5/4, ... 5/1, 5/2, 5/3, 5/4, ... 2/2, 5/2, 5/3, 5/4, ...
> ... ... ... ...
>
> to lear any position.

Your English is slipping! "Lear" does not mean what you think it does.

> let alone reaching
>
> 1/1, __, __, __, ...
> 1/2, __, __, __, ...
> 2/1, __, __, __, ...
> 1/3, __, __, __, ...
> 2/2, __, __, __, ...
> ...

This is your usual nonsense, devoid of any understanding. You have no clue about infinity or limits, and the fact that *EVERY* natural number is followed by infinitely many others larger than it, is your pons, asinus asinorum..

> Cantor's notion of countability is trash.

Your ideas are trash, in particular, but certainly not restricted to, Cantor's notion of countability.

Re: Cantor's notion of countability is trash.

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Subject: Re: Cantor's notion of countability is trash.
From: Dan_Chri...@sympatico.ca (Dan Christensen)
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 by: Dan Christensen - Mon, 21 Mar 2022 17:08 UTC

On Saturday, March 19, 2022 at 12:35:13 PM UTC-4, WM wrote:
> There is no permutation of the Xs in
>
> XOOO...
> XOOO...
> XOOO...
> XOOO...
> ...
>
> such that all positions are covered by Xs.
>
> If it were, it would imply, that in the sequence
>
> XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...
>
> all Os could be covered by the X.
>
> Therefore Cantor's notion of countability is trash.
>

Huh??? Just curious... How would YOU then classify a set X on which there exists an injective (1-1) function f: X --> N?

Finite Example 1: If X = {3, 9, 27}, then f could be such that f(3)=0, f(9)=1 and f(27)=2.

Infinite Example 2: If X = {1, 3, 5, 7, ... }, i.e. the odd numbers, then f could be such that f(1)=0, f(3)=1 f(5)=2, f(7)=3, and so on.

For an informal development of these notions backed by formal proofs, see my blog posting at https://dcproof.wordpress.com/2014/09/17/infinity-the-story-so-far/

Dan

Download my DC Proof 2.0 freeware at http://www.dcproof.com
Visit my Math Blog at http://www.dcproof.wordpress.com

Re: Cantor's notion of countability is trash.

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Subject: Re: Cantor's notion of countability is trash.
From: askaske...@gmail.com (WM)
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 by: WM - Mon, 21 Mar 2022 20:52 UTC

horand....@gmail.com schrieb am Montag, 21. März 2022 um 17:17:00 UTC+1:
> On Monday, 21 March 2022 at 11:10:22 UTC-3, WM wrote:
> > zelos...@gmail.com schrieb am Montag, 21. März 2022 um 06:14:34 UTC+1:
> [...]
> > > It is your argument that is fundamentally flawed.
> > Why? Look, you can also try to bring the fractions into the first column. Also here you fail for every natural number k
> >
> > 1/1, 1/2, 1/3, 1/4, ...
> > 2/1, 2/2, 2/3, 2/4, ...
> > 3/1, 3/2, 3/3, 3/4, ...
> > 4/1, 4/2, 4/3, 4/4, ...
> > 5/1, 5/2, 5/3, 5/4, ...
> > ...
> >
> > 1/1, 2/1, 1/3, 1/4, ... 1/1, 3/1, 1/3, 1/4, ... 1/1, 3/1, 4/1, 1/4, ... 1/1, 3/1, 4/1, 1/4, ...
> > 1/2, 2/2, 2/3, 2/4, ... 1/2, 2/2, 2/3, 2/4, ... 1/2, 2/2, 2/3, 2/4, ... 1/2, 5/1, 2/3, 2/4, ...
> > 3/1, 3/2, 3/3, 3/4, ... 2/1, 3/2, 3/3, 3/4, ... 2/1, 3/2, 3/3, 3/4, ... 2/1, 3/2, 3/3, 3/4, ...
> > 4/1, 4/2, 4/3, 4/4, ... 4/1, 4/2, 4/3, 4/4, ... 1/3, 4/2, 4/3, 4/4, ... 1/3, 4/2, 4/3, 4/4, ...
> > 5/1, 5/2, 5/3, 5/4, ... 5/1, 5/2, 5/3, 5/4, ... 5/1, 5/2, 5/3, 5/4, ... 2/2, 5/2, 5/3, 5/4, ...
> > ... ... ... ...
> >
> > to lear any position.
> Your English is slipping! "Lear" does not mean what you think it does.

Typo: to clear any position.

> > let alone reaching
> >
> > 1/1, __, __, __, ...
> > 1/2, __, __, __, ...
> > 2/1, __, __, __, ...
> > 1/3, __, __, __, ...
> > 2/2, __, __, __, ...
> > ...
> You have no clue about infinity or limits,

Limits of set theory are rubbish. The best example is McDuck. But here we see it too. All definable transpositions let all places of the matrix occupied. The belief that in the limit this could change is not substantiated with matematics but at most with follish matheology.

> and the fact that *EVERY* natural number is followed by infinitely many others larger than it, is

the proof that Cantor's formula k = (m + n - 1)(m + n - 2)/2 + m is insufficient to rule all.

Regards, WM

Re: Cantor's notion of countability is trash.

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Subject: Re: Cantor's notion of countability is trash.
From: ross.fin...@gmail.com (Ross A. Finlayson)
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 by: Ross A. Finlayson - Mon, 21 Mar 2022 20:53 UTC

On Monday, March 21, 2022 at 7:53:38 AM UTC-7, sergio wrote:
> On 3/21/2022 9:39 AM, Ross A. Finlayson wrote:
> > On Monday, March 21, 2022 at 7:19:31 AM UTC-7, sergio wrote:
> >> On 3/21/2022 9:10 AM, WM wrote:
> >>> zelos...@gmail.com schrieb am Montag, 21. März 2022 um 06:14:34 UTC+1:
> >>>> lördag 19 mars 2022 kl. 17:35:13 UTC+1 skrev WM:
> >>>>> There is no permutation of the Xs in
> >>>>>
> >>>>>
> >>>>>
> >>>>> Therefore Cantor's notion of countability is trash.
> >>>>>
> >>>> Nope, it works just fine.
> >>>
> >>> It works according to (n + m)(n + m + 1)/2 + m = k. Alas for every such k the set of O's has not changed by more than zero.
> >> Fail. No set of O's is required, that is diversion, red herring.
> >>>
> >>>> It is your argument that is fundamentally flawed.
> >>>
> >> <snip crap>
> >>>
> >>> Cantor's notion of countability is trash.
> >> Fail. Your graphics are not math at all.
> >>
> >>
> >>>
> >>> Regards, WM
> >
> > Are you sure they're his? What if it's a sockpuppet?
> >
> > (A sockpuppet is a fake troll. Not sure how to unmask sockpuppets,
> > but if you decapitate it it might take the hand with it.)
> it would make sense, as this guy knows nothing about math, no algebra, nothing higher than addition.
>
> but his google account seems consistent;
>
> Injection-Info: google-groups.googlegroups.com; posting-host=2003:c7:8f26:a3b2:6d2e:c6ef:384:918b;
> posting-account=jn1PxAoAAAD-XIFhTFFaTyGmTiEGt0_b

When sites get paid for traffic of their users' accounts,
and, 90-95% of the accounts are fake or dupes,
it kind of makes you wonder about the accuracy of such metrics,
at all.

One time I was working on this subsystem a click-collector,
and was like "hey I discovered this bug is duplicating hits",
and it was like "don't worry about it". Kind of like the guy
gig'ed to hand out promotions flyers to cool people, who
dumps then in the nearest round-file and absconds with the money.

(As computing resources costs drop sockpuppets become cheap and
real authentication becomes more valuable.)

Anyways Sergio I find the notions of that Cantor's space is
separate models of words and numbers very compelling,
it really ends up solving lots of issues in foundations,
and for that matter seems most clearly reflects "true" foundations.

Also it provides a model of "standard" infinitesimals. Many people
think that the differential is best represented this way.

(That it's primary.)

To that end I have cultivated in this group a hesitant uncertainty.

Re: Cantor's notion of countability is trash.

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Subject: Re: Cantor's notion of countability is trash.
From: askaske...@gmail.com (WM)
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 by: WM - Mon, 21 Mar 2022 20:54 UTC

Dan Christensen schrieb am Montag, 21. März 2022 um 18:08:16 UTC+1:
> On Saturday, March 19, 2022 at 12:35:13 PM UTC-4, WM wrote:
> > There is no permutation of the Xs in
> >
> > XOOO...
> > XOOO...
> > XOOO...
> > XOOO...
> > ...
> >
> > such that all positions are covered by Xs.
> >
> > If it were, it would imply, that in the sequence
> >
> > XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...
> >
> > all Os could be covered by the X.
> >
> > Therefore Cantor's notion of countability is trash.
> >
> Huh??? Just curious... How would YOU then classify a set X on which there exists an injective (1-1) function f: X --> N?

A dream of matheologians.
>
> Finite Example 1: If X = {3, 9, 27}, then f could be such that f(3)=0, f(9)=1 and f(27)=2.
>
> Infinite Example 2: If X = {1, 3, 5, 7, ... }, i.e. the odd numbers, then f could be such that f(1)=0, f(3)=1 f(5)=2, f(7)=3, and so on.

There is no permutation of the Xs in
XOOO...
XOOO...
XOOO...
XOOO...
....
such that all positions are covered by Xs. Can you understand that?

Regards, WM

Re: Cantor's notion of countability is trash.

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Subject: Re: Cantor's notion of countability is trash.
From: horand.g...@gmail.com (Gus Gassmann)
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 by: Gus Gassmann - Mon, 21 Mar 2022 21:58 UTC

On Monday, 21 March 2022 at 17:52:12 UTC-3, WM wrote:
> horand....@gmail.com schrieb am Montag, 21. März 2022 um 17:17:00 UTC+1:
[...]
> > You have no clue about infinity or limits,
> Limits of set theory are rubbish.

Everything poo' wittle Mucki don't understand is rubbish. Poo' wittle Mucki..

Re: Cantor's notion of countability is trash.

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Newsgroups: sci.math
Subject: Re: Cantor's notion of countability is trash.
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 by: sergio - Mon, 21 Mar 2022 22:07 UTC

On 3/21/2022 3:52 PM, WM wrote:
> horand....@gmail.com schrieb am Montag, 21. März 2022 um 17:17:00 UTC+1:
>> On Monday, 21 March 2022 at 11:10:22 UTC-3, WM wrote:
>>> zelos...@gmail.com schrieb am Montag, 21. März 2022 um 06:14:34 UTC+1:
>> [...]
>>>> It is your argument that is fundamentally flawed.

<snip crap>

>> You have no clue about infinity or limits,
>
> Limits of set theory are rubbish. The best example is McDuck.

yea, McDuck is another one you still fail on, + got Screwged.

> But here we see it too. All definable transpositions let all places of the matrix occupied. The belief that in the limit this could change is not substantiated with matematics but at most with follish matheology.

that is not math at all, but your imagination. Your brain cells are continuing to definabley migrate transpositions all over the place of your occupied
matrix between your ears.

>
>> and the fact that *EVERY* natural number is followed by infinitely many others larger than it, is
>
> the proof that Cantor's formula k = (m + n - 1)(m + n - 2)/2 + m is insufficient to rule all.

it is not a proof, it is called an equation, and it holds/rules in all cases.

It is your problem you cannot understand simple equations.

>
> Regards, WM

Re: Cantor's notion of countability is trash.

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From: inva...@invalid.com (sergio)
Newsgroups: sci.math
Subject: Re: Cantor's notion of countability is trash.
Date: Mon, 21 Mar 2022 17:10:37 -0500
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 by: sergio - Mon, 21 Mar 2022 22:10 UTC

On 3/21/2022 3:54 PM, WM wrote:
> Dan Christensen schrieb am Montag, 21. März 2022 um 18:08:16 UTC+1:
>> On Saturday, March 19, 2022 at 12:35:13 PM UTC-4, WM wrote:
>>> There is no permutation of the Xs in
>>>
>>> XOOO...
>>> XOOO...
>>> XOOO...
>>> XOOO...
>>> ...
>>>
>>> such that all positions are covered by Xs.
>>>
>>> If it were, it would imply, that in the sequence
>>>
>>> XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...
>>>
>>> all Os could be covered by the X.
>>>
>>> Therefore Cantor's notion of countability is trash.
>>>
>> Huh??? Just curious... How would YOU then classify a set X on which there exists an injective (1-1) function f: X --> N?
>
> A dream of matheologians.
>>
>> Finite Example 1: If X = {3, 9, 27}, then f could be such that f(3)=0, f(9)=1 and f(27)=2.
>>
>> Infinite Example 2: If X = {1, 3, 5, 7, ... }, i.e. the odd numbers, then f could be such that f(1)=0, f(3)=1 f(5)=2, f(7)=3, and so on.
>
> There is no permutation of the Xs in
> XOOO...
> XOOO...
> XOOO...
> XOOO...
> ...
> such that all positions are covered by Xs. Can you understand that?
>
> Regards, WM

verwirrtes Durcheinander ist Unsinn

Re: Cantor's notion of countability is trash.

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Subject: Re: Cantor's notion of countability is trash.
From: Dan_Chri...@sympatico.ca (Dan Christensen)
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 by: Dan Christensen - Tue, 22 Mar 2022 01:55 UTC

On Monday, March 21, 2022 at 5:59:00 PM UTC-4, horand....@gmail.com wrote:
> On Monday, 21 March 2022 at 17:52:12 UTC-3, WM wrote:
> > horand....@gmail.com schrieb am Montag, 21. März 2022 um 17:17:00 UTC+1:
> [...]
> > > You have no clue about infinity or limits,
> > Limits of set theory are rubbish.
> Everything poo' wittle Mucki don't understand is rubbish. Poo' wittle Mucki.

“Axioms are rubbish!”
-- WM, sci.math, 2014/11/19

This after presenting his failed alternative to Peano's Axioms. He couldn't even prove 1=/=2 in his goofy little system. Hee, hee!

Dan

Re: Cantor's notion of countability is trash.

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Subject: Re: Cantor's notion of countability is trash.
From: Dan_Chri...@sympatico.ca (Dan Christensen)
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 by: Dan Christensen - Tue, 22 Mar 2022 03:49 UTC

On Monday, March 21, 2022 at 4:54:56 PM UTC-4, WM wrote:
> Dan Christensen schrieb am Montag, 21. März 2022 um 18:08:16 UTC+1:
> > On Saturday, March 19, 2022 at 12:35:13 PM UTC-4, WM wrote:
> > > There is no permutation of the Xs in
> > >
> > > XOOO...
> > > XOOO...
> > > XOOO...
> > > XOOO...
> > > ...
> > >
> > > such that all positions are covered by Xs.
> > >
> > > If it were, it would imply, that in the sequence
> > >
> > > XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...
> > >
> > > all Os could be covered by the X.
> > >
> > > Therefore Cantor's notion of countability is trash.
> > >
> > Huh??? Just curious... How would YOU then classify a set X on which there exists an injective (1-1) function f: X --> N?

> A dream of matheologians.

It is a nightmare for cranks like you. Deal with it, Mucke! Hint: Mindlessly repeating your failed arguments here is NOT dealing with it.

Dan

Re: Cantor's notion of countability is trash.

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Subject: Re: Cantor's notion of countability is trash.
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 by: zelos...@gmail.com - Tue, 22 Mar 2022 05:12 UTC

måndag 21 mars 2022 kl. 15:10:22 UTC+1 skrev WM:
> zelos...@gmail.com schrieb am Montag, 21. März 2022 um 06:14:34 UTC+1:
> > lördag 19 mars 2022 kl. 17:35:13 UTC+1 skrev WM:
> > > There is no permutation of the Xs in
> > >
> > > XOOO...
> > > XOOO...
> > > XOOO...
> > > XOOO...
> > > ...
> > >
> > > such that all positions are covered by Xs.
> > >
> > > If it were, it would imply, that in the sequence
> > >
> > > XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...
> > >
> > > all Os could be covered by the X.
> > >
> > > Therefore Cantor's notion of countability is trash.
> > >
> > Nope, it works just fine.
> It works according to (n + m)(n + m + 1)/2 + m = k. Alas for every such k the set of O's has not changed by more than zero.

Nothing has changed, no O's has been dealt with. The function is surjective

> > It is your argument that is fundamentally flawed.
> Why? Look, you can also try to bring the fractions into the first column. Also here you fail for every natural number k

We do not need to do anything of the sort. It is a function that is surjective and all and that is all that matters, not your fucking matrix.

>
> 1/1, 1/2, 1/3, 1/4, ...
> 2/1, 2/2, 2/3, 2/4, ...
> 3/1, 3/2, 3/3, 3/4, ...
> 4/1, 4/2, 4/3, 4/4, ...
> 5/1, 5/2, 5/3, 5/4, ...
> ...
>
> 1/1, 2/1, 1/3, 1/4, ... 1/1, 3/1, 1/3, 1/4, ... 1/1, 3/1, 4/1, 1/4, ... 1/1, 3/1, 4/1, 1/4, ...
> 1/2, 2/2, 2/3, 2/4, ... 1/2, 2/2, 2/3, 2/4, ... 1/2, 2/2, 2/3, 2/4, ... 1/2, 5/1, 2/3, 2/4, ...
> 3/1, 3/2, 3/3, 3/4, ... 2/1, 3/2, 3/3, 3/4, ... 2/1, 3/2, 3/3, 3/4, ... 2/1, 3/2, 3/3, 3/4, ...
> 4/1, 4/2, 4/3, 4/4, ... 4/1, 4/2, 4/3, 4/4, ... 1/3, 4/2, 4/3, 4/4, ... 1/3, 4/2, 4/3, 4/4, ...
> 5/1, 5/2, 5/3, 5/4, ... 5/1, 5/2, 5/3, 5/4, ... 5/1, 5/2, 5/3, 5/4, ... 2/2, 5/2, 5/3, 5/4, ...
> ... ... ... ...

All irrelevant to cantors function.

>
> to lear any position. let alone reaching
>
> 1/1, __, __, __, ...
> 1/2, __, __, __, ...
> 2/1, __, __, __, ...
> 1/3, __, __, __, ...
> 2/2, __, __, __, ...

This has nothing to do with cantors function.

> ...
> Cantor's notion of countability is trash.

Nope, this only demonstrates that you cannot argue without doing strawmen.

>
> Regards, WM

Re: Cantor's notion of countability is trash.

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Subject: Re: Cantor's notion of countability is trash.
From: thenewca...@gmail.com (Eram semper recta)
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 by: Eram semper recta - Tue, 22 Mar 2022 08:14 UTC

On Monday, 21 March 2022 at 22:54:56 UTC+2, WM wrote:
> Dan Christensen schrieb am Montag, 21. März 2022 um 18:08:16 UTC+1:
> > On Saturday, March 19, 2022 at 12:35:13 PM UTC-4, WM wrote:
> > > There is no permutation of the Xs in
> > >
> > > XOOO...
> > > XOOO...
> > > XOOO...
> > > XOOO...
> > > ...
> > >
> > > such that all positions are covered by Xs.
> > >
> > > If it were, it would imply, that in the sequence
> > >
> > > XOOOOOOOOOOOOOOOOOOOOOOOOOOOO...
> > >
> > > all Os could be covered by the X.
> > >
> > > Therefore Cantor's notion of countability is trash.
> > >
> > Huh??? Just curious... How would YOU then classify a set X on which there exists an injective (1-1) function f: X --> N?
> A dream of matheologians.
> >
> > Finite Example 1: If X = {3, 9, 27}, then f could be such that f(3)=0, f(9)=1 and f(27)=2.
> >
> > Infinite Example 2: If X = {1, 3, 5, 7, ... }, i.e. the odd numbers, then f could be such that f(1)=0, f(3)=1 f(5)=2, f(7)=3, and so on.
> There is no permutation of the Xs in
> XOOO...
> XOOO...
> XOOO...
> XOOO...
> ...
> such that all positions are covered by Xs. Can you understand that?

You're asking an oaf who doesn't know shit about anything if he understands?

Bravo! that makes a lot of sense. Chuckle.

>
> Regards, WM

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