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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: 2N=E
Date: Tue, 22 Oct 2024 20:33:29 +0200
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Am 22.10.2024 um 17:03 schrieb joes:
> Am Tue, 22 Oct 2024 16:11:35 +0200 schrieb WM:
>> On 22.10.2024 11:43, joes wrote:

>>> The larger numbers have already all been "created".

Well, since we are talking about "actual infinity", i.e. the infinite 
set of natural numbers here, '"been "created"' is rather "misleading" 
(i.e. wrong) in this context.

It's just a "simple fact" (in the context of set theory), that for all n 
e IN: 2*n e IN. ("simple fact" => a provable proposition).

Of course, this just "shows" that IN is ("actually") infinite.

>> Not before multiplying them.

> No. We are taking the ACTUALLY infinite set, which most certainly
> also includes the even numbers.

Especially, since we consider the set of ALL natural numbers; and the 
natural numbers consist of ALL odd and ALL even natural numbers. :-)