Question regarding different levels of infinity and also possible reevaluation for space time continuum

[Lord_Zeref_Dragneel]

Hi, I need some math nerds for this.

Large Numbers - Infinite_Numbers

Sbiis Saibian's !!! FORBIDDEN LIST !!! of Infinite Numbers Introduction Googology is really the study of finite numbers. However there is an analogous "large number" competition that is sometimes played with large infinities. The problem is that this game is much more difficult to

sites.google.com

You may click on the link above for info about greater infinities.

From what I know, the VBW lists a universal space time continuum or a timeline perse, as a Low 2-C because of the fact that time is infinite and contains an "uncountable infinite" or Aleph 1 amount "snapshots" of a universe or reality. My question is how can we say that time has aleph 1 amount of points? Epsilon Zero (which can be read from the link above) is basically omega (which is basically infinity) ^ omega ^ omega...... ^ omega (omega amount of times). And Epsilon Zero is still way smaller than Aleph 1. Basically to sum it up, exponentiation can be used in two different scenarios, cardinal and ordinal. We might be mixing these two up but correct me if I'm wrong cuz I might have missed something from the tiering system

 

[Hasty12345]

I think the wiki assumes the continuum hypothesis which says there's no infinite between aleph null and one iirc

 

[Lord_Zeref_Dragneel]

But there are things such as cardinal and ordinal arithmetics

 

[Oblivion_Of_The_Endless]

Ordinality =/= Cardinality

Epsilon-Zero still has the cardinality of Aleph-0. The Omegas of Epsilon Zero do not increase its size, since they are not cardinals but ordinals instead. It cannot be used to represent the first uncountable infinity (which is Aleph-1). If you want an Epsilon number that could represent the size of a timeline, it would be Epsilon-One, which would be the same as Aleph-1, so in the end Aleph-1 is the correct choice anyway.

As for why a timeline would be Aleph-1 sized: In the same way a line (1-D) has R amount of points (0-D) attached to it, a timeline would have R amounts of 3-D snapshots attached to it. In this case the line would the timeline itself and its points would be each infinitesimal 3-D moment/snapshot.

 

[Lord_Zeref_Dragneel]

Ordinality =/= Cardinality

Epsilon-Zero still has the cardinality of Aleph-0. The Omegas of Epsilon Zero do not increase its size, since they are not cardinals but ordinals instead. It cannot be used to represent the first uncountable infinity (which is Aleph-1). If you want an Epsilon number that could represent the size of a timeline, it would be Epsilon-One, which would be the same as Aleph-1, so in the end Aleph-1 is the correct choice anyway.

As for why a timeline would be Aleph-1 sized: In the same way a line (1-D) has R amount of points (0-D) attached to it, a timeline would have R amounts of 3-D snapshots attached to it. In this case the line would the timeline itself and its points would be each infinitesimal 3-D moment/snapshot.

What about for examples of infinitely branching timelines? Why are they considered Low 1-C? Instead of just 2-A. Isnt that below Epsilon Zero?

 

[Oblivion_Of_The_Endless]

What about for examples of infinitely branching timelines? Why are they considered Low 1-C?

They arent. At least not inherently.

 

[Lord_Zeref_Dragneel]

They arent. At least not inherently.

Ben 10 Cosmology

This page will cover Ben 10 Terminology and Cosmology. This page will use statements from the Ben 10 series, Novels, and Other verified information from secondary sources that are supported by the show. It will go over the Each Term and what each term mean and their supposed Inconsistencies...

vsbattles.fandom.com

Check the Branching Timestream/Crosstime section. It is considered Low 1-C because of 2-A timelines infinitely branching.

 

[Lord_Zeref_Dragneel]

Ordinality =/= Cardinality

Epsilon-Zero still has the cardinality of Aleph-0. The Omegas of Epsilon Zero do not increase its size, since they are not cardinals but ordinals instead. It cannot be used to represent the first uncountable infinity (which is Aleph-1). If you want an Epsilon number that could represent the size of a timeline, it would be Epsilon-One, which would be the same as Aleph-1, so in the end Aleph-1 is the correct choice anyway.

As for why a timeline would be Aleph-1 sized: In the same way a line (1-D) has R amount of points (0-D) attached to it, a timeline would have R amounts of 3-D snapshots attached to it. In this case the line would the timeline itself and its points would be each infinitesimal 3-D moment/snapshot.

Btw by R, u mean Aleph 1 right?

 

[Oblivion_Of_The_Endless]

Btw by R, u mean Aleph 1 right?

The set of the Real numbers (which is an uncountable infinite set), so yes.

It is considered Low 1-C because of 2-A timelines infinitely branching.

If thats all there is to it then it shouldnt be Low 1-C.

 

[Lloydblitzed]

If thats all there is to it then it shouldnt be Low 1-C.

They got it over a 2nd temporal axis

 

[Lord_Zeref_Dragneel]

They got it over a 2nd temporal axis

No that's the hypertimeline itself. That is above the branching timestream. The branching timestream is considered 5-D while the hypertimeline is 6-D

 

[Lord_Zeref_Dragneel]

But correct me if im wrong. Infinitely branching timelines is the same as
"omega ^ omega" or "infinite ^ infinite" amounts of timelines correct?

 

[Lloydblitzed]

No that's the hypertimeline itself. That is above the branching timestream.

U can read the CRT where it got accepted ig

 

[Lord_Zeref_Dragneel]

U can read the CRT where it got accepted ig

There is a more updated CRT of the Ben 10 Cosmology here

Ben 10 Cosmology Revision

Introduction This thread is not meant to upgrade/downgrade the cosmology in any possible way. It will simply focus on revising the cosmological layers to it's maximum accuracy. The Revision 1. Branching Timelines is the same as Timestream/Cross-Time Yes you read it right, both these structures...

vsbattles.com

And you can check the Ben 10 cosmology page that I sent in my previous post.

 

[Lord_Zeref_Dragneel]

But correct me if im wrong. Infinitely branching timelines is the same as
"omega ^ omega" or "infinite ^ infinite" amounts of timelines correct?

@Oblivion_Of_The_Endless

 

[Lord_Zeref_Dragneel]

Another good example of a verse with infinitely branching 2-A timelines that is considered Low 1-C is the MCU Multiverse.