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On 1/23/25 3:32 AM, WM wrote:
I did not.Numbers do not change. Only their state of being known.So, why do you claim they changed?
You seem to think that you can't use "visible" numbers collectively, they become dark when you do, nor can your "dark" numbers be used individually,You have not understood anything. All numbers can be used collectively but visible numbers can be used as individuals.
Both is correct for visible numbers.No. Every number that is defined in a system by its FISON is visible. Many numbers smaller than 10^99 are defined on the pocket calculator. No greater number can be defined in that system.Numbers are not definied by its "FISON", its FISON is defined by the number.
ALL Natural Numbers are defined, and thus visible, and not "dark"Up to every FISON |ℕ \ {1, 2, 3, ..., n}| = ℵo. Since every FISON is the union of all its predecessors we get
There are an infinite set of FISONs, one for every Natural Number.The union of all FISONs does not cover ℕ. Otherwise Cantor's theorem would require the existence of a first necessary FISON.
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