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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: Wed, 15 Jan 2025 13:55:51 -0500
Organization: Peripheral Visions
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References: <vg7cp8$9jka$1@dont-email.me>   <66868399-5c4b-4816-9a0c-369aaa824553@att.net> <vlir7p$24c51$1@dont-email.me> <417ff6da-86ee-4b3a-b07a-9c6a8eb31368@att.net> <vllfof$2n0uj$2@dont-email.me> <07258ab9-eee1-4aae-902a-ba39247d5942@att.net> <vlmst2$2vjr0$3@dont-email.me> <1ebbc233d6bab7878b69cae3eda48c7bbfd07f88@i2pn2.org> <vlo5f4$39hil$2@dont-email.me> <4c89380adaad983f24d5d6a75842aaabbd1adced@i2pn2.org> <vloule$3eqsr$1@dont-email.me> <ffffed23878945243684de7f2aa9aaaf29564508@i2pn2.org> <vlrej9$2m5k$1@dont-email.me> <d6ed4797-65e8-4004-853c-f07a37af0c11@att.net> <vls4j6$7v2k$3@dont-email.me> <494bfd3b-3c70-4d8d-9c70-ce917c15fc22@att.net> <vm0okb$16cq0$2@dont-email.me> <bff18686-503a-4b7b-9406-b47796f68b47@att.net> <vm15pj$18v7t$1@dont-email.me> <72142d82-0d71-460a-a1be-cadadf78c048@att.net> <vm3hrs$1s9ld$2@dont-email.me> <812e64b1-c85c-48ac-a58c-e8955bc02f8c@att.net> <vm59g4$2b5ib$1@dont-email.me> <b5040865-50e6-4297-a08c-0072e0a2cb0f@att.net> <vm8trc$30hqq$9@dont-email.me>
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WM submitted this idea :
> On 14.01.2025 19:41, Jim Burns wrote:
>> On 1/14/2025 4:07 AM, WM wrote:
>>> On 13.01.2025 20:31, Jim Burns wrote:
>>>> On 1/13/2025 12:17 PM, WM wrote:
>> 
>>>>> [...]
>>>>
>>>> A step is never from finite to infinite.
>
> The dark realm is appears infinite.
>>>> There is no infinite set smaller than ℕ
>>>> #? ≥ #ℕ
>>>
>>> That is obviously wrong.
>
>  The rule of subset proves that every proper subset has fewer elements than 
> its superset

Show us that rule.