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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Mon, 14 Oct 2024 12:35:56 +0200
Message-ID: <veis6b$desj$5@solani.org>
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On 12.10.2024 22:47, Richard Damon wrote:
> On 10/12/24 2:39 PM, WM wrote:
>> On 11.10.2024 20:02, Jim Burns wrote:
>>
>>> "Potential ℕ" vs. "actual ℕ" leaves unchanged
>>> which claims we reason to.
>>
>> Potential infinity: All natural numbers when double yield natural 
>> numbers but larger numbers are among the result.
>> In actual infinity no new naturals can be created but since doubling 
>> doubles the value of each number, numbers of the second number class 
>> are created.

> No, in actual infinity no new natural can be created,

True.

> but every natural 
> number can find the one that is twice itself in the set,

False. n*2 > n for all numbers, even for infinite numbers.

Regards, WM