Berkeley Cardinal?

[Ryo]

"In the Cardinal Theology, the world was made from mathematics, cardinal, algorithm, Aleph, and infinite amount of number.

It is said that this world was theoritically larger than all set of cardinality which made the cosmology of this verse reach the Berkeley Cardinal or maybe higher, or even above it because the world structured by mathematics."

Is it Berkeley Cardinal? Or what? I accidentally found this.

 

[Achille]

I make the necessary explanation assuming that he did not know about the Berkeley cardinal.

A Berkeley cardinal is a type of large cardinal axiom in set theory, which is a branch of mathematical logic that studies sets, or collections of objects. In set theory, a cardinal number is a type of number that describes the size of a set. For example, the set {1, 2, 3} has a cardinality of 3, because it has three elements.

The Berkeley cardinal axiom is a concept that was introduced by Hugh Woodin in a seminar at the University of California, Berkeley in around 1992. It is a type of large cardinal axiom, which are axioms in set theory that describe extremely large cardinal numbers.

In set theory, a cardinal κ is called a Berkeley cardinal if it has the following property: for every transitive set M that includes κ and for every ordinal α less than κ, there is a non-trivial elementary embedding of M into itself with α as the critical point, and κ as the target.
In other words, a Berkeley cardinal is a type of large cardinal that can be thought of as a "fixed point" for certain kinds of set-theoretic operations. This is a very abstract concept, but roughly speaking, it means that a Berkeley cardinal is a very large and robust type of cardinal number that can withstand certain kinds of set-theoretic operations without being "moved" or "altered" in any way.

If you want an even more complex and high-level mathematical explanation, you can tell me.