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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
Date: Sun, 22 Dec 2024 19:05:44 -0500
Organization: Peripheral Visions
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WM brought next idea :
> On 22.12.2024 22:22, Jim Burns wrote:
>> On 12/22/2024 6:32 AM, WM wrote:
>
>>> The function E(n) decreases
>>> from infinity to zero
>>> by single steps of height 1
>>> like the function NUF(x) increases
>>> by single steps of height 1. Set theorists must accept
>>> magic steps of infiniteᵂᴹ size or
>>> refuse to describe these transitions at all.
>> 
>> Alternatively,
>> set theorists could continue to talk about
>> what set theorists talk about, instead of
>> what you (WM) talk about.
>> 
> They do not wish to recognize that their theory is self-contradictory. But 
> perhaps students would be interested. I tell them the following story.
>
> The function E(n) decreases from infinity to zero because in set theory ℕ \ 
> {1, 2, 3, ...} =  { } is an accepted formula.

In what way is it decreasing?