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Can be this a Low 1-A Structure?
- Thread starter JmikaelP
- Start date
- 258
- 28
- Thread starter
- #3
But, in the page of Tiering System, a Low 1-A is:
Characters who can universally affect, create and/or destroy structures and expanses of uncountably infinite dimensions, or which have a size roughly analogous to them, such as uncountably infinite sets of hierarchical layers or planes of existence, most specifically ones whose amount of layers is comparable to the set of all real numbers, and are thus equated to the first uncountably infinite cardinal, ℵ1, for simplicity's sake.
Alternatively, this tier can also be assigned to characters who transcend High 1-B structures when no further context regarding the nature of such transcendence is given.
Characters who can universally affect, create and/or destroy structures and expanses of uncountably infinite dimensions, or which have a size roughly analogous to them, such as uncountably infinite sets of hierarchical layers or planes of existence, most specifically ones whose amount of layers is comparable to the set of all real numbers, and are thus equated to the first uncountably infinite cardinal, ℵ1, for simplicity's sake.
Alternatively, this tier can also be assigned to characters who transcend High 1-B structures when no further context regarding the nature of such transcendence is given.
- 1,297
- 780
you would need uncountable infinite high 1-B for it to be low 1-A
Vietthai96
He/Him- 9,198
- 12,188
Infinite High 1-B is still High 1-B, just infinitely higher than baseline. Because Infinite High 1-B is just Infinite*Infinite. In order to be Low 1-A it need to be uncountable infinite or infinite^infinite
Megaraptor149
He/Him- 1,950
- 676
If there infinite Multiverse which each universe have High 1-B structure it's would be Infinite x Infinite and that's right High 1-B.
- 1,198
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I don't think the term of infinite*infinite is objectively correct, just imagine the baseline High 1-B is an infinite-dimensional universe, if there's an infinite amount of them then their difference would be like Low 2-C vs 2-A, an unquantifiable level of superiority (because we can't exactly quantify the distance between universes). It's still High 1-B though.
Vietthai96
He/Him- 9,198
- 12,188
Huh, 1 High 1-B is infinite dimension on itself, there are infinite amount of High 1-B, thus it is Infinite*(High 1-B) = Infinite*Infinite
- 1,198
- 1,030
Infinite*infinite High 1-B would be like an infinite*infinite amount of dimensions, which is still infinite. Because infinite is still countable, you can biject infinite*infinite with infinite with Cantor's diagonal argument. Saying infinite universes of High 1-B = infinite*infinite is kind of weird, since that's like saying 2-A is infinite*4 or infinite*(Low 2-C). Infinite dimensions isn't High 1-B and 4 dimensions isn't Low 2-C, anyway.
Vietthai96
He/Him- 9,198
- 12,188
Yes, infinite*infinite is still infinite, thus still High 1-B, that what i said, but it would be > Baseline High 1-B
- 549
- 256
What's your point
- 1,198
- 1,030
Okay...?
Cat275
He/Him- 1,428
- 788
I know this is kinda old but isn't it infinite^2?
Vietthai96
He/Him- 9,198
- 12,188
Cat275
He/Him- 1,428
- 788
But doesn't the Ch says 2^infinite=Aleph1 though?
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- 5,879
- 1,068
its just low 1-C
Vietthai96
He/Him- 9,198
- 12,188
Cat275
He/Him- 1,428
- 788
Uhh no i wasnt talking about multiplication.
Cat275
He/Him- 1,428
- 788
Anyways in a word of infinite it would be infinite^infinite? I heard you do it like 2^infinite + in the continuum hypothesis it was something like that except in a form of a aleph, can you clarify some stuff for me?
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Cat275
He/Him- 1,428
- 788
Since im pretty sure continuum hypothesis says Aleph null^2 is the correct phrase.
(i heard infinite^infinite is also valid but pretty sure this is the correct phrase.)
Vietthai96
He/Him- 9,198
- 12,188
Cat275
He/Him- 1,428
- 788
Yeah ik that's why im asking if infinite^2 or aleph null^2 is valid since i heard it's the correct phrase of the continuum hypothesis.
(Literally in wikipedia.)
Or is infinite^2 invalid and Aleph null^2 are valid?
(Since im pretty sure this 2 is bassically the same thing.)
Vietthai96
He/Him- 9,198
- 12,188
Aleph 0^2 =/= infinite^2. Aleph 0 is a set of natural number^2. Infinite is not a set of number
Cat275
He/Him- 1,428
- 788
So i can't use the term infinite^2? But i can use aleph null^2? So i need to clarify it then?
So infinite^infinite and aleph null^2 for aleph1are the correct phrase then?
Vietthai96
He/Him- 9,198
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There is no difference between Aleph 0 and Infinity, they both have the exact same cardinality.
Cat275
He/Him- 1,428
- 788
Yeah i meant that, so i take that as a yes then?
Vietthai96
He/Him- 9,198
- 12,188
Uh oh yes. They both cardinality of the natural number
Cat275
He/Him- 1,428
- 788
Meh so what is the point here?
is it that 2^infinity and 2^aleph null=Aleph 1
Are both valid in the Continuum hypothesis?
Vietthai96
He/Him- 9,198
- 12,188
- 13,724
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Cat275
He/Him- 1,428
- 788
Ok...
Just got confused since infinity^infinity yet 2^aleph null=Aleph 1.
Thought it was 2^infinity and 2^aleph null=Aleph1.
Cat275
He/Him- 1,428
- 788
The other guy said infinite^infinite is also Aleph1 is it something that is different from the continuum hypothesis?
Cat275
He/Him- 1,428
- 788
Im getting confused
The other guy said
2^infinity =/= aleph 1
2^Aleph null = aleph1
Infinite^infinite = aleph 1
And the other other guy said
2^Aleph null = aleph 1
2^Infinite = aleph 1
Infinite^infinite = aleph 1
From what i know it's
2^Aleph null and 2^infinity=Aleph1(in ch) but can anyone kind enough able to clarify this to me?
Since this is kinda going sideways.
The other guy said
2^infinity =/= aleph 1
2^Aleph null = aleph1
Infinite^infinite = aleph 1
And the other other guy said
2^Aleph null = aleph 1
2^Infinite = aleph 1
Infinite^infinite = aleph 1
From what i know it's
2^Aleph null and 2^infinity=Aleph1(in ch) but can anyone kind enough able to clarify this to me?
Since this is kinda going sideways.
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If you assume the continuum hypothesis is true, then infinite^infinite should be Aleph-1 in cardinality as well.
Cat275
He/Him- 1,428
- 788
So
Infinite^infinite, 2^Infinite and 2^Aleph null=Aleph1?
(im using the ch.)
- 13,724
- 3,668
Yes
Vietthai96
He/Him- 9,198
- 12,188
Cat275
He/Him- 1,428
- 788
Alright.
I was getting confused since i only knew 2^infinite and 2^aleph null and the other guy said 2^infinite is invalid as aleph1 and it's infinite^infinite.
So i'll just assume all the 3 are correct since i use the ch.
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