Re: The set of necessary FISONs

Am Sat, 01 Feb 2025 14:40:12 +0100 schrieb WM:

On 01.02.2025 14:16, joes wrote:

Am Sat, 01 Feb 2025 13:24:31 +0100 schrieb WM:

On 31.01.2025 15:46, Richard Damon wrote:

 

It works that way: When n belongs to ℕ, then n+1 belongs to ℕ.
And it works also thos way:
When n can be deleted, then n+1 can be deleted. Nothing remains.

It works this way: If n can be removed, n AND n+1 can be removed.
But it doesn’t work this way: „If n can be left out, all n can be.”

Which one cannot be removed?

Wrong question. You cannot remove infinitely many. „Infinitely many”
is not a natural number.

What is the difference between adding and subtracting?

Induction does not transfer to infinities (although it DOES
transfer to an infinite AMOUNT of finite numbers).

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Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.