Le 12/06/2024 à 22:23, "Chris M. Thomasson" a écrit :

Wrt your logic, I have some questions:
____________
Are there infinitely many "dark" numbers?

Yes.

Is there only a finite number of "light" numbers?

As in a global database with all of the numbers witnessed by humans?

Yes.

Say
a little kid, say 3 years old has never saw the number 42 before... So,
this number is light because I just wrote it, it is not dark. However,
it is "dark" wrt the the kid?

Yes, the darkness is related to the system. If the kid is isolated, then
42 is dark in its system.

The next 10^1000 prime numbers are dark for us but an advanced
civilization may know them already.

Regards, WM

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Le 12/06/2024 à 22:51, "Chris M. Thomasson" a écrit :

On 6/12/2024 1:42 PM, WM wrote:

Le 12/06/2024 à 22:23, "Chris M. Thomasson" a écrit :

Wrt your logic, I have some questions:
____________
Are there infinitely many "dark" numbers?

Yes.

Is there only a finite number of "light" numbers?

As in a global database with all of the numbers witnessed by humans?

Yes.

Say a little kid, say 3 years old has never saw the number 42
before... So, this number is light because I just wrote it, it is not
dark. However, it is "dark" wrt the the kid?

Yes, the darkness is related to the system. If the kid is isolated, then
42 is dark in its system.

The next 10^1000 prime numbers are dark for us but an advanced
civilization may know them already.

Ahhhh. I think I see what you just might be getting at all along... Infinitely many dark numbers is saying that N is indeed infinite, but
say the (current) largest number, say largest prime we have currently detected and printed out?... (kidding, lol), is light to us now, as we progress wrt technology and sheer smarts we will be able to actually calculate higher primes...,

but almost all will remain dark forever.

that will turn from dark to light, right? Am
I getting closer to your line of thinking, WM? We know that there are infinitely many primes, but the ones we have not actually calculated
yet, are dark, but the are still very much, _there_ in N, indeed. Any
closer, WM? Or way off your mark, so to speak? Humm...

I think you've got it.

Regards, WM

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Le 12/06/2024 à 22:23, "Chris M. Thomasson" a écrit :

it is "dark" wrt the the kid? If a number is stored in the database, is
it light or dark, WM?

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Am 13.06.2024 um 02:19 schrieb Tom Bola:

Am 12.06.2024 22:42:34 WM schrieb:

The next 10^1000 prime numbers are dark for us but an advanced
civilization may know them already.

Sure, if that is what you mean by "dark" [...]

RR hat in diesem Zusammenhang ja über die Definition des Begriffs
"bekannt" nachgedacht (und ist dabei auf die Nase gefallen).

Was das dumme Arschloch, WM, offenbar nicht versteht, ist, dass es bei mathematischen Theoremen, die Zahlen betreffen, nicht darauf ankommt, ob
diese Zahlen "bekannt", "dark", "hell" oder Kacke-Braun sind.

So gilt z. B. der Satz

An e IN: n + n = 2*n

(wie der Quantor schon besagt) für ALLE natürlichen Zahlen, nicht nur
für die "bekannten" bzw. nicht "dunklen" Zahlen.

Man sollte dieses geisteskranke Arschloch zwangseinweisen lassen.

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Am 12.06.2024 22:42:34 WM schrieb:

The next 10^1000 prime numbers are dark for us but an advanced
civilization may know them already.

Sure, if that is what you mean by "dark" - but if you think your thougt
straigt one sees what the meaning of ω is...

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Am 13.06.2024 um 04:47 schrieb Chris M. Thomasson:

As in a global database with all of the numbers witnessed by humans?
Say a little kid, say 3 years old has never saw the number 42
before... So, this number is light because I just wrote it, it is not
dark. However, it is "dark" wrt the the kid? If a number is stored in
the database, is it light or dark, WM?

Moreover, isn't, say, 1 < 42, and 42 + 42 = 2 * 42, no matter if 42 is
light or dark (wrt the the kid or not; stored in the database or not)?

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Le 13/06/2024 à 02:19, Tom Bola a écrit :

Am 12.06.2024 22:42:34 WM schrieb:

The next 10^1000 prime numbers are dark for us but an advanced
civilization may know them already.

Sure, if that is what you mean by "dark" - but if you think your thougt straigt one sees what the meaning of ω is...

ω cannot be connected by a FISON to zero. This however is required by my definition of definable.

Regards, WM

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Am 17.06.2024 um 10:25 schrieb Chris M. Thomasson:

On 6/12/2024 1:23 PM, Chris M. Thomasson wrote:

Wrt your logic, I have some questions:
____________
Are there infinitely many "dark" numbers?

Is there only a finite number of "light" numbers?
____________

As in a global database with all of the numbers witnessed by humans?
Say a little kid, say 3 years old has never saw the number 42
before... So, this number is light because I just wrote it, it is not
dark. However, it is "dark" wrt the the kid? If a number is stored in
the database, is it light or dark, WM?

Another questions: What's the relevance of this nonsense for math?

I mean, isn't, say, n+n = 2n or 1+...+n = (n+1)*n/2, etc. for ALL
natural numbers n, not just for the light ones? <facepalm>

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Am 17.06.2024 um 22:30 schrieb Chris M. Thomasson:

| As in a global database with all of the numbers witnessed by humans?

Why not use a galactic database and include aliens?

Psychosis (https://en.wikipedia.org/wiki/Psychosis)

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Le 17/06/2024 à 16:14, Moebius a écrit :

Am 17.06.2024 um 10:25 schrieb Chris M. Thomasson:

On 6/12/2024 1:23 PM, Chris M. Thomasson wrote:

Wrt your logic, I have some questions:
____________
Are there infinitely many "dark" numbers?

Yes.

Is there only a finite number of "light" numbers?

Yes, a potential infinity.

____________

As in a global database with all of the numbers witnessed by humans?
Say a little kid, say 3 years old has never saw the number 42
before... So, this number is light because I just wrote it, it is not
dark. However, it is "dark" wrt the the kid? If a number is stored in
the database, is it light or dark, WM?

Depends on the accessibility of the database. Darkness depends on the
system.

Another questions: What's the relevance of this nonsense for math?

Nothing.

I mean, isn't, say, n+n = 2n or 1+...+n = (n+1)*n/2, etc. for ALL
natural numbers n, not just for the light ones? <facepalm>

Yes, that is to be assumed but cannot be proven.

Regards, WM

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Am 19.06.2024 um 00:16 schrieb Chris M. Thomasson:

On 6/17/2024 2:41 PM, Moebius wrote:

Am 17.06.2024 um 22:30 schrieb Chris M. Thomasson:

| As in a global database with all of the numbers witnessed by humans?

Why not use a galactic database and include aliens?

Good one. ;^D

Ahh, but we are in one galaxy out of many... Humm...

Right, hence the database should comprise the whole universe (at least)
and all creatures (living in this universe) dealing with numbers!

We might work with (universe wide) database replication!

<Gaga>

(You see, the encyclopedia of number is simple not large enough for Mückenheim's light numbers!)

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Am 18.06.2024 um 22:20 schrieb WM:

Darkness depends on the system.

Your brain is full of shit.

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