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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: Replacement of Cardinality
Date: Sat, 17 Aug 2024 12:43:36 -0700
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On 8/17/2024 8:56 AM, FromTheRafters wrote:
> Richard Damon formulated on Saturday :
>> On 8/17/24 9:30 AM, WM wrote:
>>> Le 16/08/2024 à 19:54, Jim Burns a écrit :
>>>> On 8/16/2024 1:00 PM, WM wrote:
>>>
>>>>> Start from x = 0.
>>>>> The increase cannot be more than 1.
>>>>> ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
>>>>
>>>> Start from x = 0
>>>> The increase cannot be less than 2
>>>
>>> That violates ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 .
>>>
>>>> ∀ᴿx > 0:  x  >  ⅟nₓ  >  ⅟(nₓ+1)
>>>> nₓ = ⌊1+⅟x⌋
>>>
>>> That holds only for definable numbers.
>>>
>>> Regards, WM
>>>
>>>
>>
>> Which is all of the Rational Numbers, and thus all of the unit fractions.
>>
>> Thats your problem, you don't seem to know how to definie numbers.
> 
> Worse than that, he tries to make a set of undefined/undefinable numbers 
> which he calls dark numbers while sets have well defined elements.

Don't get WM started on the kind of dark numbers.... wow.