Re: The set of necessary FISONs

On 28.02.2025 20:45, Richard Damon wrote:

On 2/28/25 11:44 AM, WM wrote:

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No, Zermelo uses induction. I did not say that he uses the term induction.

 No, what you describe is NOT "induction".

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Correct your qualifiers. Or look it up.
F(1) ∈ F and F(n) ∈ F ==> F(n+1) ∈ F describes the infinite inductive set F of FISONs.
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The process cannot be completed with FISONs. Each one is finite, and so is their potentially infinite number. That does never change.
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It can not be completed with a finite number of them. It can be completed with the complete set of them.

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Processes using defined individuals like FISONs cannot surpass a finite set. FISONs are finite. Their number will never be greater than finite.
{1}
{2, 1}
{3, 2, 1}
...