Characters or obiects that can affect structures that are larger than what the logical framework defining 1-A and below can allow, and as such exceed any possible number of levels contained in the previous tiers,
including an infinite or uncountably infinite number.
Practically speaking, this would be something completely unreachable to any 1-A hierarchies.
A concrete example of such a structure would be an inaccessible cardinal, which in simple terms is a number so large that it cannot be reached (accessed") by smaller numbers, and as such has to be "assumed" to exist in order to be made sense of or defined in a formal
context (Unlike the standard aleph numbers, which can be straightforwardly put together using the building blocks of set theory). Even just the amount of infinite cardinals between the first inaccessible cardinal and aleph-2 (Which defines 1-A) is greater than cardinals such as aleph-0, aleph-1, aleph-2, aleph-3, etc., and even many aleph numbers whose index is an infinite
ordinal..
including an infinite or uncountably infinite number.
Practically speaking, this would be something completely unreachable to any 1-A hierarchies.
A concrete example of such a structure would be an inaccessible cardinal, which in simple terms is a number so large that it cannot be reached (accessed") by smaller numbers, and as such has to be "assumed" to exist in order to be made sense of or defined in a formal
context (Unlike the standard aleph numbers, which can be straightforwardly put together using the building blocks of set theory). Even just the amount of infinite cardinals between the first inaccessible cardinal and aleph-2 (Which defines 1-A) is greater than cardinals such as aleph-0, aleph-1, aleph-2, aleph-3, etc., and even many aleph numbers whose index is an infinite
ordinal..
Characters or obiects that can affect structures that are larger than what the logical framework defining 1-A and below can allow, and as such exceed any possible number of levels contained in the previous tiers,
including an infinite or uncountably infinite number.
Practically speaking, this would be something completely unreachable to any 1-A hierarchies.
A concrete example of such a structure would be an inaccessible cardinal, which in simple terms is a number so large that it cannot be reached (accessed") by smaller numbers, and as such has to be "assumed" to exist in order to be made sense of or defined in a formal
context (Unlike the standard aleph numbers, which can be straightforwardly put together using the building blocks of set theory). Even just the amount of infinite cardinals between the first inaccessible cardinal and aleph-2 (Which defines 1-A) is greater than cardinals such as aleph-0, aleph-1, aleph-2, aleph-3, etc., and even many aleph numbers whose index is an infinite
ordinal..
including an infinite or uncountably infinite number.
Practically speaking, this would be something completely unreachable to any 1-A hierarchies.
A concrete example of such a structure would be an inaccessible cardinal, which in simple terms is a number so large that it cannot be reached (accessed") by smaller numbers, and as such has to be "assumed" to exist in order to be made sense of or defined in a formal
context (Unlike the standard aleph numbers, which can be straightforwardly put together using the building blocks of set theory). Even just the amount of infinite cardinals between the first inaccessible cardinal and aleph-2 (Which defines 1-A) is greater than cardinals such as aleph-0, aleph-1, aleph-2, aleph-3, etc., and even many aleph numbers whose index is an infinite
ordinal..