An analysis I have made of my model:
My model's foundation is not mathematics but the list of potential
properties of things. The only mathematical like concepts I then use are
power set, incompleteness, and inconsistency and these are derived from
simply parsing the list. If my list is infinite and countable and its line
items representable by finite bit strings then my starting point is just
the natural numbers [including zero] along with an assignment of meaning to
each.
As I understand it the cardinality of the set of subsets of the natural
numbers [i.e. the All and its kernels as power set] is the same as the
cardinality of the reals i.e. c. One can therefore form a one to one
correspondence between the kernels and the reals. In this pairing the real
member of the pair can be thought of as representing the kernel half of the
pair. Therefore the All is just the set of reals with an assigned meaning
for each.
Hal Ruhl
