Kardashev Scale Wiki
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Everything

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Number system

This is a mapping of infinity levels to verses using set theory. It seems there is a logical mapping to realms with increasing infinity cardinalities, accounting for everything.

This is a "count" of the number of quantum particles in the reality (or non-reality) of each verse, ending with an absurdity of 0=1 and an absolute beyond an infinity of nothing.

Infinity level using Set Theory Set cardinality Map to Verse
Set of naturals (allowing unidirectional time travel). This is countable infinity. A worthy note here is that a universe contains a subset of the set of naturals, which is still infinite. Multiplying all the elements in the set is related to expansion of a universe. Aleph null and Beth null multiverse
Set of integers (allowing multidirectional time travel) and rational numbers. This is still countable infinity. Aleph 0 megaverse
Set of real numbers (includes all rationals and irrationals). This is the start of uncountable infinity, and includes power sets and so on. Aleph 1 is a higher order of infinity than aleph 0 because there is an infinity of rational and irrational numbers between every integer pair. There is also an infinity of rational and irrational fractions between every close rational fraction. This goes on, and leads to higher aleph numbers. Aleph 1 omniverse
Set of hyperreal numbers Aleph 1 hyperverse (end of reality)
Set of surreal numbers Aleph 1 surreality
Set of complex numbers and all subsets such as imaginary and transcendental Beth 1, 2, ... outerverse (outside reality)
Inaccessible and indescribable cardinals up to the singularity of 0=1 Beth omega adverse (end of logic)
An infinity of nothing Empty set The Outside
Absolute infinity Ω (omega)

The set of all sets is Ω (which may exist in its own class)

Beyond

See also[]

Cantor's Attic and Cantor's theorem

Infinity and the Mind and an intuitive explanation of that.

In there it is mentioned: "First, imagine a book with pages. Then imagine an encyclopedia of books like this, with  volumes. Then imagine a bookcase containing  encyclopedias like this. Then imagine a room containing  bookcases like this. Then imagine a floor [of a] library with  rooms like this. Then imagine a library with  floors like this. Then imagine a city with  libraries like this. And so on, ad infinitum."

In the same way, each verse is contained in yet another larger verse, ad infinitum, until it has to stop at the absolute.

Cardinal hierarchy

Infinity Dispute, a New Law of Mathematics

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