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tech / sci.math / Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)

SubjectAuthor
* Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
+* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|`* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
| `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|  `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
|   `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|    +* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
|    |`* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|    | `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
|    |  `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|    |   `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
|    |    `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|    |     `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
|    |      `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|    |       `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
|    |        `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|    |         `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
|    |          +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|    |          +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
|    |          +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|    |          +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
|    |          +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|    |          +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
|    |          +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|    |          +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
|    |          +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|    |          +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
|    |          +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|    |          +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
|    |          `- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|    `- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Chris M. Thomasson
+* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Mild Shock
|`* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
| `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Fritz Feldhase
|  `- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
+* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
|+- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|+* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||+- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
||+* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Fritz Feldhase
|||`- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||`* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
|| `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||  `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
||   `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||    `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
||     `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||      `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Kevin S
||       +* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||       |`* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Kevin S
||       | `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||       |  `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Kevin S
||       |   `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||       |    `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Kevin S
||       |     `- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||       `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
||        `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||         +* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Python
||         |`- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||         `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
||          `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||           +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
||           `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||            `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
||             `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||              +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||              +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
||              +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Mathin3D
||              +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||              +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
||              +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||              +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
||              +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||              +* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
||              |`- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Chris M. Thomasson
||              +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||              +* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
||              |`* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Chris M. Thomasson
||              | +* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Chris M. Thomasson
||              | |+* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Ben Bacarisse
||              | ||`- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Chris M. Thomasson
||              | |`* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
||              | | `- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)FromTheRafters
||              | `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Chris M. Thomasson
||              |  `- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Chris M. Thomasson
||              +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
||              +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
||              `- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
|`- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Fritz Feldhase
`* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
 +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Mathin3D
 +* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Kevin S
 |`* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
 | `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
 |  `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
 |   `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
 |    +* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
 |    |`- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
 |    `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
 |     `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
 |      +- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com
 |      `* Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)Eram semper recta
 `- Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)markus...@gmail.com

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Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)

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https://www.novabbs.com/tech/article-flat.php?id=147215&group=sci.math#147215

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Subject: Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)
From: markuskl...@gmail.com (markus...@gmail.com)
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 by: markus...@gmail.com - Tue, 5 Sep 2023 16:38 UTC

tisdag 5 september 2023 kl. 15:41:04 UTC+2 skrev Eram semper recta:
> On Tuesday, 5 September 2023 at 03:33:29 UTC-4, markus...@gmail.com wrote:
> > lördag 2 september 2023 kl. 15:49:02 UTC+2 skrev Eram semper recta:
> > > On Friday, 1 September 2023 at 16:51:49 UTC-4, markus...@gmail.com wrote:
> > > > fredag 1 september 2023 kl. 17:31:34 UTC+2 skrev Eram semper recta:
> > > > > On Friday, 1 September 2023 at 11:14:00 UTC-4, Eram semper recta wrote:
> > > > > > On Thursday, 31 August 2023 at 15:05:30 UTC-4, Kevin S wrote:
> > > > > > > On Thursday, August 31, 2023 at 6:01:22 PM UTC+2, Eram semper recta wrote:
> > > > > > > > On Tuesday, 1 August 2023 at 08:02:45 UTC-4, Eram semper recta wrote:
> > > > > > > > > https://www.academia.edu/105144840/Cantors_Misguided_Diagonal_Argument
> > > > > > > >
> > > > > > > > Mainstream cranks never ask themselves why N is countable.
> > > > > > > >
> > > > > > > > A set is countable if and only if, its members can be systematically named.
> > > > > > > >
> > > > > > > > Indexing (1-1 with N) is just one way of naming the elements.
> > > > > > > >
> > > > > > > > One DOES NOT need a 1-1 correspondence with N because this is only the case when elements are indexed, However, this is not what is meant by countable set.
> > > > > > > >
> > > > > > > > Mainstream math cranks do not understand.
> > > > > > > Where did you get the definition "A set is countable if and only if, its members can be systematically named." from?
> > > > > > That is what countability means. Initially it was defined as follows:
> > > > > >
> > > > > > A set is countable if and only if, its members can be listed.
> > > > > >
> > > > > > Ever ask yourself why N is countable and why a bijection with N is used?
> > > > > >
> > > > > > Answer: The elements of N can be systematically named using any radix system.
> > > > > > > That countability means bijection with the natural numbers because everybody (except you) say it is.
> > > > > > No. Bijection with N is one way of checking for countability, but not the essence of what it means.
> > > > > > > You don't get to call others wrong by making up your own definition.
> > > > > > I do call them wrong because they are WRONG. And no, I didn't make up that definition. It is the original Cantor definition.
> > > > > In mathematics, a set is said to be countable if its elements can be "numbered" using the natural numbers. More precisely (meaning for imbeciles who are not geniuses like John Gabriel), this means that there exists a one-to-one mapping from this set to (not necessarily onto) the set of natural numbers.
> > > > >
> > > > > John Gabriel knows that elements being numbered is the same as being INDEXED or given a UNIQUE NAME. Learn from me, you syphilitic, stupid, jealous bastards!!!
> > > > >
> > > > >
> > > > > Your moronic math professors and teachers DO NOT know or understand these things. They are my intellectual inferiors as are YOU!
> > > > >
> > > > >
> > > > > All of you are not worth one turd of mine.
> > > > What does it mean to index a set?
> > > When you visit a library to find a particular book, do you not look it up in an index that tells you where that book is?
> > >
> > > Gosh, you are one prize moron.
> > >
> > > Here is a simpler example. Consider the set T={cars, airplanes, ships}. There are many types of cars and car dealers as there are airplanes and ships.
> > >
> > > We could create an index that goes something like this:
> > >
> > > 1 - Toyota (1)
> > > BMW (2)
> > > Mercedes (3)
> > > etc
> > > 2 - Mirage (1)
> > > F16 (2)
> > > Raptor (3)
> > > etc
> > > 3 - Cruiser (1)
> > > Frigate (2)
> > > Submarine (3)
> > > etc
> > > Now we have a lot of information about all these forms of transport but not enough memory. So what do we do, we store the information using an index. For example, we can say Description 2(3): Speed: Mach 2 and so on.
> > >
> > > In the same way, the father of all mainstream mathematical cranks such as yourself, realised that the set of Natural Numbers serves as a very good indexing tool.
> > >
> > > The reason the mythical set R is not countable is due to the fact that R does not exist! In other words, you cannot NAME the elements of R so that a natural number can be used to INDEX them. DO YOU UNDERSTAND NOW, YOU FUCKING MORON?
> > > > what is the general definition of "indexing a set" then? How do we know if a set can be indexed or not?
> > > BLAAAAAA DOOBI DDAAAAA Blurb dirb da da di di dum "I am a stupid Jew" - Markus Klyver.
> > The examples you give are examples of indexing with natural numbers. But you said those are not the only indexes. Then, what do you mean by an "index"? The mainstream definition of countable defines countibility as indexing with natural numbers. You can't just change the definitions just because you feel like it and expect everyone to know you're inventing your own math and terminology.
> >
> > And stop hating Jews.
> Shut up, moron!
No, I won't do that. Define what you mean by an index.

Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)

<3361951d-245f-40d4-a614-66e8cde38a80n@googlegroups.com>

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https://www.novabbs.com/tech/article-flat.php?id=147224&group=sci.math#147224

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Subject: Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)
From: thenewca...@gmail.com (Eram semper recta)
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 by: Eram semper recta - Tue, 5 Sep 2023 18:24 UTC

On Tuesday, 5 September 2023 at 09:41:04 UTC-4, Eram semper recta wrote:
> On Tuesday, 5 September 2023 at 03:33:29 UTC-4, markus...@gmail.com wrote:
> > lördag 2 september 2023 kl. 15:49:02 UTC+2 skrev Eram semper recta:
> > > On Friday, 1 September 2023 at 16:51:49 UTC-4, markus...@gmail.com wrote:
> > > > fredag 1 september 2023 kl. 17:31:34 UTC+2 skrev Eram semper recta:
> > > > > On Friday, 1 September 2023 at 11:14:00 UTC-4, Eram semper recta wrote:
> > > > > > On Thursday, 31 August 2023 at 15:05:30 UTC-4, Kevin S wrote:
> > > > > > > On Thursday, August 31, 2023 at 6:01:22 PM UTC+2, Eram semper recta wrote:
> > > > > > > > On Tuesday, 1 August 2023 at 08:02:45 UTC-4, Eram semper recta wrote:
> > > > > > > > > https://www.academia.edu/105144840/Cantors_Misguided_Diagonal_Argument
> > > > > > > >
> > > > > > > > Mainstream cranks never ask themselves why N is countable.
> > > > > > > >
> > > > > > > > A set is countable if and only if, its members can be systematically named.
> > > > > > > >
> > > > > > > > Indexing (1-1 with N) is just one way of naming the elements.
> > > > > > > >
> > > > > > > > One DOES NOT need a 1-1 correspondence with N because this is only the case when elements are indexed, However, this is not what is meant by countable set.
> > > > > > > >
> > > > > > > > Mainstream math cranks do not understand.
> > > > > > > Where did you get the definition "A set is countable if and only if, its members can be systematically named." from?
> > > > > > That is what countability means. Initially it was defined as follows:
> > > > > >
> > > > > > A set is countable if and only if, its members can be listed.
> > > > > >
> > > > > > Ever ask yourself why N is countable and why a bijection with N is used?
> > > > > >
> > > > > > Answer: The elements of N can be systematically named using any radix system.
> > > > > > > That countability means bijection with the natural numbers because everybody (except you) say it is.
> > > > > > No. Bijection with N is one way of checking for countability, but not the essence of what it means.
> > > > > > > You don't get to call others wrong by making up your own definition.
> > > > > > I do call them wrong because they are WRONG. And no, I didn't make up that definition. It is the original Cantor definition.
> > > > > In mathematics, a set is said to be countable if its elements can be "numbered" using the natural numbers. More precisely (meaning for imbeciles who are not geniuses like John Gabriel), this means that there exists a one-to-one mapping from this set to (not necessarily onto) the set of natural numbers.
> > > > >
> > > > > John Gabriel knows that elements being numbered is the same as being INDEXED or given a UNIQUE NAME. Learn from me, you syphilitic, stupid, jealous bastards!!!
> > > > >
> > > > >
> > > > > Your moronic math professors and teachers DO NOT know or understand these things. They are my intellectual inferiors as are YOU!
> > > > >
> > > > >
> > > > > All of you are not worth one turd of mine.
> > > > What does it mean to index a set?
> > > When you visit a library to find a particular book, do you not look it up in an index that tells you where that book is?
> > >
> > > Gosh, you are one prize moron.
> > >
> > > Here is a simpler example. Consider the set T={cars, airplanes, ships}. There are many types of cars and car dealers as there are airplanes and ships.
> > >
> > > We could create an index that goes something like this:
> > >
> > > 1 - Toyota (1)
> > > BMW (2)
> > > Mercedes (3)
> > > etc
> > > 2 - Mirage (1)
> > > F16 (2)
> > > Raptor (3)
> > > etc
> > > 3 - Cruiser (1)
> > > Frigate (2)
> > > Submarine (3)
> > > etc
> > > Now we have a lot of information about all these forms of transport but not enough memory. So what do we do, we store the information using an index. For example, we can say Description 2(3): Speed: Mach 2 and so on.
> > >
> > > In the same way, the father of all mainstream mathematical cranks such as yourself, realised that the set of Natural Numbers serves as a very good indexing tool.
> > >
> > > The reason the mythical set R is not countable is due to the fact that R does not exist! In other words, you cannot NAME the elements of R so that a natural number can be used to INDEX them. DO YOU UNDERSTAND NOW, YOU FUCKING MORON?
> > > > what is the general definition of "indexing a set" then? How do we know if a set can be indexed or not?
> > > BLAAAAAA DOOBI DDAAAAA Blurb dirb da da di di dum "I am a stupid Jew" - Markus Klyver.
> > The examples you give are examples of indexing with natural numbers. But you said those are not the only indexes. Then, what do you mean by an "index"? The mainstream definition of countable defines countibility as indexing with natural numbers. You can't just change the definitions just because you feel like it and expect everyone to know you're inventing your own math and terminology.
> >
> > And stop hating Jews.
> Shut up, moron!
Refreshed due to troll activity.

Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)

<6f89b2d6-0147-49a3-b03c-cd6b23ad6ca4n@googlegroups.com>

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Subject: Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)
From: markuskl...@gmail.com (markus...@gmail.com)
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 by: markus...@gmail.com - Tue, 5 Sep 2023 19:44 UTC

tisdag 5 september 2023 kl. 20:24:24 UTC+2 skrev Eram semper recta:
> On Tuesday, 5 September 2023 at 09:41:04 UTC-4, Eram semper recta wrote:
> > On Tuesday, 5 September 2023 at 03:33:29 UTC-4, markus...@gmail.com wrote:
> > > lördag 2 september 2023 kl. 15:49:02 UTC+2 skrev Eram semper recta:
> > > > On Friday, 1 September 2023 at 16:51:49 UTC-4, markus...@gmail.com wrote:
> > > > > fredag 1 september 2023 kl. 17:31:34 UTC+2 skrev Eram semper recta:
> > > > > > On Friday, 1 September 2023 at 11:14:00 UTC-4, Eram semper recta wrote:
> > > > > > > On Thursday, 31 August 2023 at 15:05:30 UTC-4, Kevin S wrote:
> > > > > > > > On Thursday, August 31, 2023 at 6:01:22 PM UTC+2, Eram semper recta wrote:
> > > > > > > > > On Tuesday, 1 August 2023 at 08:02:45 UTC-4, Eram semper recta wrote:
> > > > > > > > > > https://www.academia.edu/105144840/Cantors_Misguided_Diagonal_Argument
> > > > > > > > >
> > > > > > > > > Mainstream cranks never ask themselves why N is countable..
> > > > > > > > >
> > > > > > > > > A set is countable if and only if, its members can be systematically named.
> > > > > > > > >
> > > > > > > > > Indexing (1-1 with N) is just one way of naming the elements.
> > > > > > > > >
> > > > > > > > > One DOES NOT need a 1-1 correspondence with N because this is only the case when elements are indexed, However, this is not what is meant by countable set.
> > > > > > > > >
> > > > > > > > > Mainstream math cranks do not understand.
> > > > > > > > Where did you get the definition "A set is countable if and only if, its members can be systematically named." from?
> > > > > > > That is what countability means. Initially it was defined as follows:
> > > > > > >
> > > > > > > A set is countable if and only if, its members can be listed.
> > > > > > >
> > > > > > > Ever ask yourself why N is countable and why a bijection with N is used?
> > > > > > >
> > > > > > > Answer: The elements of N can be systematically named using any radix system.
> > > > > > > > That countability means bijection with the natural numbers because everybody (except you) say it is.
> > > > > > > No. Bijection with N is one way of checking for countability, but not the essence of what it means.
> > > > > > > > You don't get to call others wrong by making up your own definition.
> > > > > > > I do call them wrong because they are WRONG. And no, I didn't make up that definition. It is the original Cantor definition.
> > > > > > In mathematics, a set is said to be countable if its elements can be "numbered" using the natural numbers. More precisely (meaning for imbeciles who are not geniuses like John Gabriel), this means that there exists a one-to-one mapping from this set to (not necessarily onto) the set of natural numbers.
> > > > > >
> > > > > > John Gabriel knows that elements being numbered is the same as being INDEXED or given a UNIQUE NAME. Learn from me, you syphilitic, stupid, jealous bastards!!!
> > > > > >
> > > > > >
> > > > > > Your moronic math professors and teachers DO NOT know or understand these things. They are my intellectual inferiors as are YOU!
> > > > > >
> > > > > >
> > > > > > All of you are not worth one turd of mine.
> > > > > What does it mean to index a set?
> > > > When you visit a library to find a particular book, do you not look it up in an index that tells you where that book is?
> > > >
> > > > Gosh, you are one prize moron.
> > > >
> > > > Here is a simpler example. Consider the set T={cars, airplanes, ships}. There are many types of cars and car dealers as there are airplanes and ships.
> > > >
> > > > We could create an index that goes something like this:
> > > >
> > > > 1 - Toyota (1)
> > > > BMW (2)
> > > > Mercedes (3)
> > > > etc
> > > > 2 - Mirage (1)
> > > > F16 (2)
> > > > Raptor (3)
> > > > etc
> > > > 3 - Cruiser (1)
> > > > Frigate (2)
> > > > Submarine (3)
> > > > etc
> > > > Now we have a lot of information about all these forms of transport but not enough memory. So what do we do, we store the information using an index. For example, we can say Description 2(3): Speed: Mach 2 and so on.
> > > >
> > > > In the same way, the father of all mainstream mathematical cranks such as yourself, realised that the set of Natural Numbers serves as a very good indexing tool.
> > > >
> > > > The reason the mythical set R is not countable is due to the fact that R does not exist! In other words, you cannot NAME the elements of R so that a natural number can be used to INDEX them. DO YOU UNDERSTAND NOW, YOU FUCKING MORON?
> > > > > what is the general definition of "indexing a set" then? How do we know if a set can be indexed or not?
> > > > BLAAAAAA DOOBI DDAAAAA Blurb dirb da da di di dum "I am a stupid Jew" - Markus Klyver.
> > > The examples you give are examples of indexing with natural numbers. But you said those are not the only indexes. Then, what do you mean by an "index"? The mainstream definition of countable defines countibility as indexing with natural numbers. You can't just change the definitions just because you feel like it and expect everyone to know you're inventing your own math and terminology.
> > >
> > > And stop hating Jews.
> > Shut up, moron!
> Refreshed due to troll activity.

Define what you mean by an index.

Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)

<56dd61c7-528f-4cdc-a809-365d978b228an@googlegroups.com>

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Subject: Re: Cantor's Misguided Diagonal "Argument" (actually a non-argument)
From: markuskl...@gmail.com (markus...@gmail.com)
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 by: markus...@gmail.com - Thu, 7 Sep 2023 16:37 UTC

lördag 2 september 2023 kl. 15:51:07 UTC+2 skrev Eram semper recta:
> On Saturday, 2 September 2023 at 09:49:02 UTC-4, Eram semper recta wrote:
> > On Friday, 1 September 2023 at 16:51:49 UTC-4, markus...@gmail.com wrote:
> > > fredag 1 september 2023 kl. 17:31:34 UTC+2 skrev Eram semper recta:
> > > > On Friday, 1 September 2023 at 11:14:00 UTC-4, Eram semper recta wrote:
> > > > > On Thursday, 31 August 2023 at 15:05:30 UTC-4, Kevin S wrote:
> > > > > > On Thursday, August 31, 2023 at 6:01:22 PM UTC+2, Eram semper recta wrote:
> > > > > > > On Tuesday, 1 August 2023 at 08:02:45 UTC-4, Eram semper recta wrote:
> > > > > > > > https://www.academia.edu/105144840/Cantors_Misguided_Diagonal_Argument
> > > > > > >
> > > > > > > Mainstream cranks never ask themselves why N is countable.
> > > > > > >
> > > > > > > A set is countable if and only if, its members can be systematically named.
> > > > > > >
> > > > > > > Indexing (1-1 with N) is just one way of naming the elements.
> > > > > > >
> > > > > > > One DOES NOT need a 1-1 correspondence with N because this is only the case when elements are indexed, However, this is not what is meant by countable set.
> > > > > > >
> > > > > > > Mainstream math cranks do not understand.
> > > > > > Where did you get the definition "A set is countable if and only if, its members can be systematically named." from?
> > > > > That is what countability means. Initially it was defined as follows:
> > > > >
> > > > > A set is countable if and only if, its members can be listed.
> > > > >
> > > > > Ever ask yourself why N is countable and why a bijection with N is used?
> > > > >
> > > > > Answer: The elements of N can be systematically named using any radix system.
> > > > > > That countability means bijection with the natural numbers because everybody (except you) say it is.
> > > > > No. Bijection with N is one way of checking for countability, but not the essence of what it means.
> > > > > > You don't get to call others wrong by making up your own definition.
> > > > > I do call them wrong because they are WRONG. And no, I didn't make up that definition. It is the original Cantor definition.
> > > > In mathematics, a set is said to be countable if its elements can be "numbered" using the natural numbers. More precisely (meaning for imbeciles who are not geniuses like John Gabriel), this means that there exists a one-to-one mapping from this set to (not necessarily onto) the set of natural numbers.
> > > >
> > > > John Gabriel knows that elements being numbered is the same as being INDEXED or given a UNIQUE NAME. Learn from me, you syphilitic, stupid, jealous bastards!!!
> > > >
> > > >
> > > > Your moronic math professors and teachers DO NOT know or understand these things. They are my intellectual inferiors as are YOU!
> > > >
> > > >
> > > > All of you are not worth one turd of mine.
> > > What does it mean to index a set?
> > When you visit a library to find a particular book, do you not look it up in an index that tells you where that book is?
> >
> > Gosh, you are one prize moron.
> >
> > Here is a simpler example. Consider the set T={cars, airplanes, ships}. There are many types of cars and car dealers as there are airplanes and ships.
> >
> > We could create an index that goes something like this:
> >
> > 1 - Toyota (1)
> > BMW (2)
> > Mercedes (3)
> > etc
> > 2 - Mirage (1)
> > F16 (2)
> > Raptor (3)
> > etc
> > 3 - Cruiser (1)
> > Frigate (2)
> > Submarine (3)
> > etc
> > Now we have a lot of information about all these forms of transport but not enough memory. So what do we do, we store the information using an index. For example, we can say Description 2(3): Speed: Mach 2 and so on.
> >
> > In the same way, the father of all mainstream mathematical cranks such as yourself, realised that the set of Natural Numbers serves as a very good indexing tool.
> >
> > The reason the mythical set R is not countable is due to the fact that R does not exist! In other words, you cannot NAME the elements of R so that a natural number can be used to INDEX them. DO YOU UNDERSTAND NOW, YOU FUCKING MORON?
> > > what is the general definition of "indexing a set" then? How do we know if a set can be indexed or not?
> > BLAAAAAA DOOBI DDAAAAA Blurb dirb da da di di dum "I am a stupid Jew" - Markus Klyver.
> Oh wait, I forgot turd head Klyver might ask what is the set being indexed. Tsk, tsk. Here is a quiz for you, dipstick!
>
> [A] The sets are cars, airplanes, ships
> [B] Apples, oranges and turds
> [C] Um, I DONNUH KNOW>>>>>>>>>

Define what you mean by an "index".

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