Re: Simple enough for every reader?

Liste des GroupesRevenir à s logic 
Sujet : Re: Simple enough for every reader?
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.logic
Date : 25. May 2025, 12:38:23
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <100uvfe$1b4dh$3@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14
User-Agent : Mozilla Thunderbird
On 25.05.2025 12:42, Mikko wrote:
On 2025-05-24 11:29:53 +0000, WM said:
 
On 24.05.2025 10:13, Mikko wrote:
On 2025-05-23 08:31:27 +0000, WM said:
>
On 23.05.2025 09:43, Mikko wrote:
Do you mean that every natural number is dark until
someone mentions it but no longer?
>
Every natural number is dark in a system that cannot represent it in any form like writing, thinking or whatever. The pocket calculator is limited to decimal representations below 10^100, the universe is limited to more or less sophisticated formulas requiring less than 10^80 bit.
>
In every system almost all natural numbers are and remain dark - if an actual infinity of them exists.
>
That is not a useful concept as it is not possible to know wich numbers are
presentable in future sysems and which will be actually presented.
>
But it is fact.
 But not a mathematical fact.
That depends on the definition of mathematics.
 
Further it need not be determined exactly what can be presented. It is sufficient, for many purposes, to know that most numbers cannot be presented
 For many porposes it sufficient to know that most numbers needn't be
presented.
Here however I am concerned with this question.
 
At the end of the web page https://mlevanto.github.io/lauseke.html there
is an arithmetic expression that evaluates to a 65600 digit number. Although
the value of the expression is not written there I used that digit sequence
(and several others, some even longer) when I wrote the page.
>
The numbers that can be used belong to a potentially infinite set. There may be much longer sequences. But most natural numbers remain dark - if ℕ is actually infinite.
 The set of natural numbers is actually infinite. There is nothing
potential in mathematics: what is is
Where is it?

and that is all that can be.
That is clearly wrong. The set of known prime numbers is potentially infinite.
The set of numbers which can be chosen as individuals is potentially infinite too.
{1} has infinitely many (ℵo) successors.
If {1, 2, 3, ..., n} has infinitely many (ℵo) successors, then {1, 2, 3, ..., n, n+1} has infinitely many (ℵo) successors.
Regards, WM

Date Sujet#  Auteur
17 May 25 * Simple enough for every reader?214WM
18 May 25 +* Re: Simple enough for every reader?124Mikko
18 May 25 i+- Re: Simple enough for every reader?1Ross Finlayson
18 May 25 i`* Re: Simple enough for every reader?122WM
18 May 25 i +* Re: Simple enough for every reader?5Ross Finlayson
18 May 25 i i`* Re: Simple enough for every reader?4WM
19 May 25 i i `* Re: Simple enough for every reader?3Mikko
19 May 25 i i  `* Re: Simple enough for every reader?2WM
20 May 25 i i   `- Re: Simple enough for every reader?1Mikko
19 May 25 i `* Re: Simple enough for every reader?116Mikko
19 May 25 i  `* Re: Simple enough for every reader?115WM
20 May 25 i   `* Re: Simple enough for every reader?114Mikko
20 May 25 i    `* Re: Simple enough for every reader?113WM
22 May 25 i     `* Re: Simple enough for every reader?112Mikko
22 May 25 i      `* Re: Simple enough for every reader?111WM
23 May 25 i       `* Re: Simple enough for every reader?110Mikko
23 May 25 i        `* Re: Simple enough for every reader?109WM
24 May 25 i         `* Re: Simple enough for every reader?108Mikko
24 May 25 i          `* Re: Simple enough for every reader?107WM
25 May 25 i           `* Re: Simple enough for every reader?106Mikko
25 May 25 i            `* Re: Simple enough for every reader?105WM
26 May 25 i             `* Re: Simple enough for every reader?104Mikko
26 May 25 i              `* Re: Simple enough for every reader?103WM
27 May 25 i               `* Re: Simple enough for every reader?102Mikko
27 May 25 i                `* Re: Simple enough for every reader?101WM
28 May 25 i                 `* Re: Simple enough for every reader?100Mikko
28 May 25 i                  `* Re: Simple enough for every reader?99WM
29 May 25 i                   `* Re: Simple enough for every reader?98Mikko
29 May 25 i                    `* Re: Simple enough for every reader?97WM
30 May 25 i                     +* Re: Simple enough for every reader?95Mikko
30 May 25 i                     i`* Re: Simple enough for every reader?94WM
31 May 25 i                     i `* Re: Simple enough for every reader?93Mikko
31 May 25 i                     i  `* Re: Simple enough for every reader?92WM
1 Jun 25 i                     i   `* Re: Simple enough for every reader?91Mikko
1 Jun 25 i                     i    `* Re: Simple enough for every reader?90WM
3 Jun 25 i                     i     `* Re: Simple enough for every reader?89Mikko
3 Jun 25 i                     i      `* Re: Simple enough for every reader?88WM
4 Jun 25 i                     i       `* Re: Simple enough for every reader?87Mikko
4 Jun 25 i                     i        `* Re: Simple enough for every reader?86WM
5 Jun 25 i                     i         `* Re: Simple enough for every reader?85Mikko
5 Jun 25 i                     i          `* Re: Simple enough for every reader?84WM
6 Jun 25 i                     i           `* Re: Simple enough for every reader?83Mikko
6 Jun 25 i                     i            `* Re: Simple enough for every reader?82WM
8 Jun 25 i                     i             `* Re: Simple enough for every reader?81Mikko
10 Jun 25 i                     i              `* Re: Simple enough for every reader?80WM
11 Jun 25 i                     i               `* Re: Simple enough for every reader?79Mikko
11 Jun 25 i                     i                `* Re: Simple enough for every reader?78WM
12 Jun 25 i                     i                 `* Re: Simple enough for every reader?77Mikko
12 Jun 25 i                     i                  `* Re: Simple enough for every reader?76WM
13 Jun 25 i                     i                   `* Re: Simple enough for every reader?75Mikko
13 Jun 25 i                     i                    `* Re: Simple enough for every reader?74WM
14 Jun 25 i                     i                     `* Re: Simple enough for every reader?73Mikko
14 Jun 25 i                     i                      `* Re: Simple enough for every reader?72WM
15 Jun 25 i                     i                       +* Re: Simple enough for every reader?70Mikko
15 Jun 25 i                     i                       i`* Re: Simple enough for every reader?69WM
16 Jun 25 i                     i                       i `* Re: Simple enough for every reader?68Mikko
16 Jun 25 i                     i                       i  `* Re: Simple enough for every reader?67WM
17 Jun 25 i                     i                       i   +* Re: Simple enough for every reader?65Mikko
17 Jun 25 i                     i                       i   i`* Re: Simple enough for every reader?64WM
18 Jun 25 i                     i                       i   i +* Re: Simple enough for every reader?62Mikko
18 Jun 25 i                     i                       i   i i`* Re: Simple enough for every reader?61WM
19 Jun 25 i                     i                       i   i i `* Re: Simple enough for every reader?60Mikko
19 Jun 25 i                     i                       i   i i  `* Re: Simple enough for every reader?59WM
20 Jun 25 i                     i                       i   i i   `* Re: Simple enough for every reader?58Mikko
20 Jun 25 i                     i                       i   i i    `* Re: Simple enough for every reader?57WM
21 Jun 25 i                     i                       i   i i     `* Re: Simple enough for every reader?56Mikko
21 Jun 25 i                     i                       i   i i      `* Re: Simple enough for every reader?55WM
22 Jun 25 i                     i                       i   i i       `* Re: Simple enough for every reader?54Mikko
22 Jun 25 i                     i                       i   i i        `* Re: Simple enough for every reader?53WM
23 Jun 25 i                     i                       i   i i         `* Re: Simple enough for every reader?52Mikko
23 Jun 25 i                     i                       i   i i          `* Re: Simple enough for every reader?51WM
24 Jun 25 i                     i                       i   i i           `* Re: Simple enough for every reader?50Mikko
24 Jun 25 i                     i                       i   i i            `* Re: Simple enough for every reader?49WM
25 Jun 25 i                     i                       i   i i             `* Re: Simple enough for every reader?48Mikko
25 Jun 25 i                     i                       i   i i              `* Re: Simple enough for every reader?47WM
26 Jun 25 i                     i                       i   i i               `* Re: Simple enough for every reader?46Mikko
26 Jun 25 i                     i                       i   i i                `* Re: Simple enough for every reader?45WM
27 Jun 25 i                     i                       i   i i                 `* Re: Simple enough for every reader?44Mikko
27 Jun 25 i                     i                       i   i i                  `* Re: Simple enough for every reader?43WM
28 Jun 25 i                     i                       i   i i                   `* Re: Simple enough for every reader?42Mikko
28 Jun 25 i                     i                       i   i i                    `* Re: Simple enough for every reader?41WM
29 Jun 25 i                     i                       i   i i                     `* Re: Simple enough for every reader?40Mikko
30 Jun 25 i                     i                       i   i i                      `* Re: Simple enough for every reader?39WM
30 Jun 25 i                     i                       i   i i                       +* Re: Simple enough for every reader?2joes
1 Jul 25 i                     i                       i   i i                       i`- Re: Simple enough for every reader?1WM
2 Jul 25 i                     i                       i   i i                       `* Re: Simple enough for every reader?36Mikko
2 Jul 25 i                     i                       i   i i                        `* Re: Simple enough for every reader?35WM
2 Jul 25 i                     i                       i   i i                         +* Re: Simple enough for every reader?4joes
2 Jul 25 i                     i                       i   i i                         i`* Re: Simple enough for every reader?3WM
2 Jul 25 i                     i                       i   i i                         i `* Re: Simple enough for every reader?2joes
2 Jul 25 i                     i                       i   i i                         i  `- Re: Simple enough for every reader?1WM
3 Jul 25 i                     i                       i   i i                         `* Re: Simple enough for every reader?30Mikko
3 Jul 25 i                     i                       i   i i                          `* Re: Simple enough for every reader?29WM
3 Jul 25 i                     i                       i   i i                           +* Re: Simple enough for every reader?8joes
3 Jul 25 i                     i                       i   i i                           i`* Re: Simple enough for every reader?7WM
4 Jul09:38 i                     i                       i   i i                           i `* Re: Simple enough for every reader?6joes
4 Jul11:15 i                     i                       i   i i                           i  `* Re: Simple enough for every reader?5WM
4 Jul12:18 i                     i                       i   i i                           i   `* Re: Simple enough for every reader?4joes
4 Jul13:23 i                     i                       i   i i                           i    `* Re: Simple enough for every reader?3WM
4 Jul13:49 i                     i                       i   i i                           i     `* Re: Simple enough for every reader?2joes
4 Jul14:29 i                     i                       i   i i                           i      `- Re: Simple enough for every reader?1WM
4 Jul08:51 i                     i                       i   i i                           `* Re: Simple enough for every reader?20Mikko
24 Jun 25 i                     i                       i   i `- Re: Simple enough for every reader?1joes
24 Jun 25 i                     i                       i   `- Re: Simple enough for every reader?1joes
24 Jun 25 i                     i                       `- Re: Simple enough for every reader?1joes
24 Jun 25 i                     `- Re: Simple enough for every reader?1joes
18 May 25 `* Re: Simple enough for every reader?89Ben Bacarisse

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