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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Wed, 23 Oct 2024 20:11:39 -0700
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On 10/23/2024 8:04 PM, Richard Damon wrote:
> On 10/23/24 10:46 AM, WM wrote:
>> On 23.10.2024 13:37, Richard Damon wrote:
>>> On 10/22/24 12:12 PM, WM wrote:
>>>> On 22.10.2024 18:03, Jim Burns wrote:
>>
>>>>> ∀n ∈ ℕ:  2×n ∈ ℕ
>>>>
>>>> Not if all elements are existing before multiplication already.
>>>
>>> IF not, then your actual infinity wasn't actually infinite
>>
>> It is infinite like the fractions between 0 and 1. When doubling we 
>> get even-numerator fractions, some of which greater the 1.
> 
> But from 0 to 1 isn't an infinite distance, thus doubling can put you 
> out of that bound, and we can find a specific definaable number where 
> that happens. It has a finite value for the upper limit.

The fun part is that we can pack infinite unit fractions between any two 
points wrt normalizing the gaps.


> 
> At 1/2, we double to hit the boundry.
> 
> But, with the Natual Numbers, there isn't a value that is 1/2 of the 
> "highest value" since there isn't a highest number that is a Natural 
> Number, since every Natural Number has a successor that is higher.
> 
>>
>>> Your "actual infinity" seems to be just an unimaginably large value, 
>>> not infinite, as your actual infinity has an end, it has an element 
>>> without a successor, so it isn't the set it claims to be.
>>
>> The completed infinite cannot avoid to be complete. But it is infinite 
>> because the end cannot be determined because of the dark domain.
> 
> No, the end cannot be determined, because it isn't there.
> 
> There is nothing about being complete that means it needs to have an 
> "end", that is just your broken finite thinking that has blown your 
> logic to smithereens.
> 
> Your "darkness" is just a method you use to hide your errors, but it 
> can't actually be defined in a way to be used.
> 
> Sorry, you are just proving how stupid you are.
> 
>>
>> Regards, WM
>>
>