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From: Moebius <invalid@example.invalid>
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Subject: =?UTF-8?Q?Re=3A_There_is_a_first/smallest_integer_=28in_M=C3=BCcken?=
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Date: Thu, 18 Jul 2024 22:34:52 +0200
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Am 18.07.2024 um 19:00 schrieb Jim Burns:
> On 7/18/2024 1:52 AM, Moebius wrote:
>> Am 18.07.2024 um 06:30 schrieb Jim Burns:
>>> On 7/17/2024 1:49 PM, WM wrote:
>>>> Le 17/07/2024 à 19:13, FromTheRafters a écrit :

>>>>> it jumps because of your stepwise function.
>>>>
>>>> Of course it jumps,
>>>> but what is the maximum size of a jump?
>>>
>>> |ℝ| is the maximum size of a jump.
>>
>> Nope.
> 
> You are answering [the] question,
> | What is the size of the jump of NUF(x) at 0?
> 
> I had read "a jump" as a reference more generic than that.

Yes, sometimes it's hard to guess what he's babbling about.

> -- However, in WM's most recent post, it seems that
> your reading is more correct than mine.

May be.

> Paraphrasing, WM seemed to ask
> | How can a jump at one point be by
> | more than one point? Anywhere. Any jump.

I'd say ... "can be higher than 1".

> Paraphrasing you
> | Well, it _is_ more.
> | <same proof again>

Sure.

[...]

> Jumps "at" a point are between
>   nearby points.

Sort of. :-P

> WM admitted that much in a recent post,
> but changed what "change" means to him.

Yeah, WM sometimes adjust to the replies he gets.

A =/= A (depending on time: A (at t = t_1) may differ from A (at t = 
t_2, if t_1 =/= t_2).