Question

[KakarotGoku]

So what if a verse states that there is a independant number that is transcendant over computabillity and any definite and indefinite numbers would this number count as Aleph 1?

Also that one number is stated to be bigger than the set of natural numbers or countable numbers to a infinite-indefinite infinite degree.

 

[Makoto500]

It should be around the level of ℵ1 to maybe ℵ2 (possibly, likely not)

Anyways overall this number should be around aleph 1 level.

 

[KakarotGoku]

I see though maybe i should wait for more answers.

 

[KakarotGoku]

.

 

[Touma]

It should be around the level of ℵ1 to maybe ℵ2 (possibly, likely not)

Anyways overall this number should be around aleph 1 level.

What is that?

 

[Arceus0x]

What is that?

alephs.
Mathematical mumbo jumbo only important in tier 1.

But overall

Aleph 0 is basically infinity but not really but yes but not really. It is all the natural numbers.
Aleph 1 is an unreachable degree beyond Aleph 0. Unlike Aleph 0 which is countable, as in, you can actually count all the natural numbers, the Aleph 1 is basically beyond being countable, you simply cannot count it.
Aleph 2 is a thing that in relation to Aleph 1 is the same as Aleph 1 is to Aleph 0.

And so on and so forth

 

[Touma]

alephs.
Mathematical mumbo jumbo only important in tier 1.

But overall

Aleph 0 is basically infinity but not really but yes but not really. It is all the natural numbers.

This sound confusing asf man

Aleph 1 is an unreachable degree beyond Aleph 0. Unlike Aleph 0 which is countable, as in, you can actually count all the natural numbers, the Aleph 1 is basically beyond being countable, you simply cannot count it.

So like a set of real numbers?

Aleph 2 is a thing that in relation to Aleph 1 is the same as Aleph 1 is to Aleph 0.

So a aleph 1 but bigger?

And so on and so forth

I assume there is a infinite sequence but is there a aleph where this infinite sequence is denoted?

 

[Makoto500]

I assume there is a infinite sequence but is there a aleph where this infinite sequence is denoted?

There is indeed a infinite sequence of this and there is also a aleph ordinal where this infinite sequence is denoted that ordinal is called omega. (aleph omega)

 

[Arceus0x]

basically this is the closes i found to a good explanation that doesn't shatter your brain in the first few sentences

 

[Touma]

basically this is the closes i found to a good explanation that doesn't shatter your brain in the first few sentences

Alright i thank you in advance.

 

[Arceus0x]

Alright i thank you in advance.

np, sorry, i ain't a math guy myself so i don't understand tier 1 and 0 stuff myself (alephs, inacsessible cardinals, ect.)

 

[Vietthai96]

Computability is countable infinite, which is natural number or Aleph 0. So exceed that is Aleph 1, uncountable infinite, at the very least

 

[Delta333]

So like a set of real numbers?

Yea set of real numbers is aleph 1

 

[Arceus0x]

and aleph 2 is like the gap between all natural numbers and all real numbers but instead that gap is beyond aleph 1