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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: 2N=E
Date: Fri, 1 Nov 2024 20:55:14 -0400
Organization: i2pn2 (i2pn.org)
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On 11/1/24 7:42 AM, WM wrote:
> On 01.11.2024 11:59, FromTheRafters wrote:
>> WM used his keyboard to write :
>>> On 31.10.2024 22:53, FromTheRafters wrote:
>>>> WM pretended :
>>>
>>>>>> Our sets do not change.
>>>>>
>>>>> Then:
>>>>> Multiplication of all infinitely many fractions of the open 
>>>>> interval (0, 1) results in some fractions in (1, 2).
>>>>> Multiplication of all infinitely many numbers of the open interval 
>>>>> (0, ω) result in some numbers in (ω, ω*2).
>>>>
>>>> No, there are no finite numbers in the transfinites.
>>>
>>> Numbers like ω + 4 are in the infinite. But if all natural numbers 
>>> are doubled, then numbers in the infinite are produced.
>>
>> What makes you think so?
> 
> Simplest mathematics. Doubling increases the value. If all natnumbers 
> are existing, then the greatest existing natnumber is existing too, then 
> doubling it does not produce a natural number.
> 
> Actual infinity is not about variable sets!
> 
> Regards, WM

But the "greatest existing Natural Number" isn't something that exists.

You are just showing you don't understand what INFINITE means.