Highest Math Concept Accepted in this Wiki

[Savior]

With proper context , what is highest level of concept accepted in this wiki? I am guessing its some Math concept..or maybe somethings my mind things like Type 4 Multiverse and Extended Modal Realism or THE BIGGEST CARDINAL KNOWN?

 

[Savior]

Bump

 

[-BANLK-]

6+9=69

 

[Savior]

6+9=69

God please

 

[Roun12]

The largest cardinal that was ever accepted was Woodin cardinals from the Manifold, but then the books those came from were considered non-canon.

 

[Savior]

The largest cardinal that was ever accepted was Woodin cardinals from the Manifold, but then the books those came from were considered non-canon.

Yes i know that, but i mean whats the highest possible concept?? Not necessarily ever used

 

[Roun12]

The largest that are still compatible with the axiom of choice are Rank-into-rank cardinals which dwarf Woodin by an extremely large degree. Berkeley Cardinals are far bigger, but they're incompatible with the axiom of choice.

 

[Arceus0x]

The highest? Probably the snoop cardinal

 

[XXKINGXX69]

There isn't one

 

[Swerzye29038]

There isn’t one iirc

 

[GoldExPoints]

I think so long as the concept follows ZFC (Zermelo-Fraenkel Set Theory + Axiom of Choice), it's accepted by default. Might be wrong tho

 

[Tatsumi504]

What is this language y'all are speaking here

 

[Roun12]

Math.

 

[Confluctor]

Meth*

 

[Setsuna_tenma]

unsong probably. They are High 1A because of it

 

[Cat275]

A cardinal kappa is a reinhardt cardinal when there is a critical point of a nontrivial elementary embedding of J:V→V, which isn't possible to have in ZFC and GBC because V can not be embedded by V which is why it's inconsistent to it (ZFC) as a whole even when ZFC can also have a non-well-founded set. (L→L) in terms of strength consistency which is the best math you can have at the moment that is explicit in the large cardinal hierarchy I'd say it's the whole properclass of club limit berkeley cardinals.

If you want to go deeper though, then you have the 0=1 axiom.

 

[Megaraptor149]

Transreal is innaccesible cardinal, but just userblog

 

[NHTkenshin2]

Just how big is the Berkeley cardinal tho?

 

[Cat275]

Just how big is the Berkeley cardinal tho?

It deconstructs and is stronger than any zfc set theory you can have as a whole, meaning you can't extend it to have something like zfc + there exist a properclass of reinhardt cardinals.

Size is rather arbitary though, because large cardinals are measured by strength consistency.

 

[Achille]

With proper context , what is highest level of concept accepted in this wiki? I am guessing its some Math concept..or maybe somethings my mind things like Type 4 Multiverse and Extended Modal Realism or THE BIGGEST CARDINAL KNOWN?

I know he's a Berkeley cardinal. The highest cardinal identifiable in the ZFC is Berkeley.

 

[Cat275]

You can't really prove the existence of large cardinals in zfc. And Berkeley's are proven to be inconsistent with the axiom of choice so.