Most times I don't like people to not follow rules and logic, but I think breaking rules are fun and exciting. Still, I think there need to be a formalization of these things. This is my way of grouping infinities.
Class 1: Non-paradoxical Infinities[]
These are infinities that could be somehow drawn in a surreal number line that could contain all infinities in existence, and which could be compared. Some examples are:
- ω / ℵ0
- ω1 / ℵ1
- I (the first inaccessible)
- Ω (absolute infinity)
Class 2: Paradoxical Infinities[]
These are infinities that will contradict the surreal number line that we just made of, and require multidimensional, or even multiexistential space to describe these infinities. These infinities can't be compared as "big" or "small" in any way, so comparing them is useless. Some examples are:
- Terminus, the first paradoxical infinity, in which terminus + 1 = 0 (don't know if that's true)
- Paradoxility, a theoretical number I made, described as "the number in every state possible, both the largest and the smallest number". This number will need a seemingly infinite space to be made, in which contradicts itself in tons of ways.
- N E V E R, a number made by Mathis R.V.
Class 3: Entropy Infinities[]
These are infinities that can't even be described in the surreal multidimensional, multiexistential plane that we made. These infinities are paradoxical paradoxes, they exist and not exist, and they will contradict everything possible, even if we reformat the omniverse, we still can't let one of these infinities be stable.