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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Wed, 16 Oct 2024 20:18:11 -0400
Organization: i2pn2 (i2pn.org)
Message-ID: <2c61f74970428fa08694d6aa2f9828ea3629fd36@i2pn2.org>
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On 10/16/24 1:53 PM, Chris M. Thomasson wrote:
> On 10/16/2024 4:54 AM, Richard Damon wrote:
>> On 10/16/24 4:27 AM, WM wrote:
>>> On 15.10.2024 02:00, Jim Burns wrote:
>>>
>>>> So, what is that perfectly reasonable explanation?
>>>
>>> There is a general rule not open to further discussion:
>>> When doubling natural numbers we obtain natural numbers which have 
>>> not been doubled.
>>> In potential infinity we obtain more even natural numbers than have 
>>> been doubled.
>>> In actual infinity we double ℕ and obtain neither ℕ or a subset of ℕ.
>>>
>>> Regards, WM
>>
>> But that isn't actually a general rule, so you are just admitting that 
>> you aren't talking about the same Natural Numbers that everyone else 
>> is talking about, but some bastadization that is just fininte.
>>
>> NO natural number when doubled results in a value that wasn't a 
>> natural number all the time.
> 
> Humm. Don't tell me WM thinks that 2 is not a natural because 1*2=2

He seems to think there exists Natural Numbers, in the Actually Infinite 
set where they are exist for all time and never change, that when double 
get you to a number that wasn't in that set.

But since the result IS a Natural Numbers, it must have been, or is 
"actual infinity" didn't actually contain *ALL* the Natural Numbers.

> 
> ;^D
> 
> 
>>
>> Your problem is that your "Acutal Infinity" isn't actually Infinity, 
>> and like isn't actually "actually".
>