Re: The set of necessary FISONs

On 1/27/25 6:32 AM, WM wrote:

On 26.01.2025 23:31, Richard Damon wrote:

On 1/26/25 9:28 AM, WM wrote:

 

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{1}
{2, 1}
{3, 2, 1}
...
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The first column never gets larger than a FISON.

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Sure it does,

 Finite Initial Segments Of Natural numbers remain finite by definition.

But ... doesn't limit to a finite sequence, and thus become the full set of Natural Numbers, which is bigger than any FISON.
Thus, you are proving your stupidity,

 

FISONs are about knowledge.

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So, you agree that they don't tell you about the actual existance of the number, just what you can know about them.

 FISONs are about knowledge. ℕ is about all.
∀n ∈ U(F(n)): |ℕ \ {1, 2, 3, ..., n}| = ℵo
ℕ \ {1, 2, 3, ...} = { }

Right, so your claim that the set {1, 2, 3, ...} isn't bigger than a FISON just proves you don't know what you are talking about.
That *IS* an infinite set, and thus bigger than a FISON.
{ 1, 2, 3, 4, ... } is the sequence with no end.
{ 1, 2, 3, 4, ..., n } while using more characters, is the description of a SHORTED sequence, as it has a definite end.
All you are doing is proving your stupidity,
It is clear that you don't understand what your words actually mean, and you mind is just seeing darkness as if it just a big black hole that can only let stupidity out, not knowledge.

 Regards, WM
 

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