- 59
- 21
Qualitative Transcendence/Superiority: The higher existence is not the union or successor of anything from the lower existence.
These are not examples of a Qualitative Superiority:
These are not examples of a Qualitative Superiority:
- V_ω cannot be reached by any power set lesser than it, but it's still the union of all possible sets lesser than it. The set of all finite numbers cannot be any finite number because we can always add a number beyond that, so logically, the set of all finite numbers is equal to V_ω.
- V_κ, or Inaccessible cardinal, cannot be reached by any power set or union lesser than it, but it's still the union of all possible sets lesser than it. The set of all standard infinite numbers cannot be any standard infinity because we can always add a number beyond that, so logically, the set of all standard infinite numbers is equal to V_κ.
- V is too large to be a set, but it's still the union of all possible sets. We both get the pattern already.