Axiom Null Point (ANP) is a number that cannot be quantified; it cannot be added, subtracted, or compared to any quantity.
From basic integers to infinity, all numbers are established through Axiom Null Point. It serves as the source from which they are derived.
Its significance comes not from being 'greater' than any number, but from being the meta-foundation that allows them to exist and have meaning.
The meta-function fA acts as the rule that generates any number from Axiom Null Point. Thus, while A cannot be quantified, it contains the potential for all numbers. | Let N = {1, 2, 3, ...} be the set of natural numbers. Let A = Axiom Null Point (ANP) governed by the following rules:
1. A ∉ N and A ∉ S for any set, number system, ordinal, or cardinal.
2. For any n ∈ N, the operation n + A is undefined.
3. For any n ∈ N, the comparisons n < A and A < n are undefined.
4. No function, predicate, or operation defined on numbers may take A as an argument.
5. N and all operations on N exist only because Axiom Null Point exists.
6. There exists a meta-function fA such that for every n ∈ N, there is a k where fA(A, k) = n. |
