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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: The set of necessary FISONs
Date: Sat, 1 Feb 2025 18:42:05 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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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).

-- 
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.