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On 9/24/2024 3:28 PM, WM wrote:
ThusThe only alternative would by infinitely many unit fractions at one point. That is not gibberish but wrong.
increasing NUF(x) from 0 to infinity
WITH intermediate steps
is gibberish,
Of many suitable definitions of natural numbers,The natural numbers n belonging to the first infinitely many unit fractions 1/n, i.e. there where NUF(x) increases at one point from 0 to infinity, cannot be distinguished in your opinion. Thus they are unreachable.
one is:
they are well.ordered (subsets minimummed or empty)
they continue (have successors)
they are reached by a step (≠0 have predecessors)
The natural numbers are our Paradigm of Finite.
There is no first unreachable natural number.
By that and by its well.order,If ω-1 could be seen. But it cannot.
there is no unreachable natural number.
ω is not a natural number.
⎛ Each before ω can be reached.
⎝ Each which can be reached is before ω.
If ω-1 existed such that (ω-1)+1 = ω
then ω could be reached
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