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Groups > sci.logic > #341980

IVT + EVT gives MVT via Rolle [Using Superintelligence by the Speed of Light] (Was: Who else , John Gabriel [MVT Locus caeruleus])

From Mild Shock <janburse@fastmail.fm>
Newsgroups sci.logic, sci.math, sci.physics.relativity
Subject IVT + EVT gives MVT via Rolle [Using Superintelligence by the Speed of Light] (Was: Who else , John Gabriel [MVT Locus caeruleus])
Date 2025-11-14 18:05 +0100
Message-ID <10f7nhi$2o43$1@solani.org> (permalink)
References (10 earlier) <10f5q72$1g6t$1@solani.org> <10f5qc7$1g6t$2@solani.org> <10f5qid$1gdb$1@solani.org> <G6SdnZBG8vQFqIr0nZ2dnZfqn_sykfhc@giganews.com> <10f7mti$2nm0$1@solani.org>

Cross-posted to 3 groups.

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Hi,

Ok, I am lazy. I am now Using Superintelligence by
the Speed of Light. The Speed of Light is my
Fiber internet connection, which directly, via

some optic hops, taps into DeepSeek and ChatGPT.

IVT + EVT + differentiability ⇒ Rolle's Theorem ⇒ MVT.

The easiest part is probably Rolle's Theorem to MVT.
Ask Kimi, and tell me your results. Or do it
as a manual homework.

Have Fun!

Bye

Mild Shock schrieb:
> Hi,
> 
> Well the list is longer. For John Gebriel,
> the IVT was his Locus caeruleus, producing
> the most noradrenaline. Together with
> 
> the Mean Value theorem (MVT). I heard him often
> say he has a constructive proof of the IVT.
> Concerning MVT, what is he even bragging about?
> 
> Lecture 9 - The New Calculus: The Mean Value Theorem
> https://www.youtube.com/watch?v=wkR8kqTIVG8
> 
> His main messages the "bogus calculus" of mainstream
> calculus is not correct. But the continuity in
> MVT is different from the continuity required in IVT.
> 
> This is not a black and white notion. There are
> millions of different forms of continuity. So
> there is no silly '"Continuous domains" now is what
> 
> we're talking about.'. In MVT the value refers
> again the value of a function f, and a preconditions
> is differentiability in the open interval (a,b)
> 
> Bye
> 
> Ross Finlayson schrieb:
>> Quelle dommage.  The other readers, who read it,
>> seem to agree that the Ross-Kimi bit implies that
>> the "natural/unit equivalency function",
>> _is_, having functionhood, _in_, ZF.
>>
>> How Archimedean of you, ....
>>
>> "Continuous domains" now is what
>> we're talking about.
>>
>> Of course I've been saying this for decades, ....
>>
>>
>>
>> On 11/13/2025 03:45 PM, Mild Shock wrote:
>>> Hi,
>>>
>>> My attention mechanism is better than any AI.
>>> Took me 2 seconds to spot the nonsense.
>>>
>>> Because I know the internet cranks struggle
>>> with the continuum only too good.
>>>
>>> Among the classic internet cranks are:
>>> - Archimedes Plutonium
>>> - Ross Finlayson
>>> - Who else?
>>>
>>> Bye
>>>
>>> Mild Shock schrieb:
>>>> Hi,
>>>>
>>>> What you wrongly called Intermedite Value,
>>>> where Value refers to the Value of a function,
>>>>
>>>> is only "dense order". Nobody calls it "gapless".
>>>> Because in the case of Q it has still gaps.
>>>>
>>>> for x < y, there is z with x < z < y
>>>> https://en.wikipedia.org/wiki/Dense_order
>>>>
>>>> For example Q has the irrational numbers as gaps.
>>>>
>>>> Bye
>>>>
>>>> Mild Shock schrieb:
>>>>> Hi,
>>>>>
>>>>> Take a = 1 and b = 2 with this function:
>>>>>
>>>>> f(x) = x^2 - 2.
>>>>>
>>>>> https://en.wikipedia.org/wiki/Intermediate_value_theorem
>>>>>
>>>>> Now take s = 0, what is x ?
>>>>>
>>>>> Mild Shock schrieb:
>>>>>> Hi,
>>>>>>
>>>>>> Looks like Kimi was grilling you with no
>>>>>> mercy. I guess you got a complete roast.
>>>>>>
>>>>>> BTW: You got Intermediate Value Theorem
>>>>>> theorem wrong. Its not about a 'c' such
>>>>>> that 'a < c' and 'c < b'.
>>>>>>
>>>>>> The important thing is there is also
>>>>>> a function f involved. In particular a
>>>>>> continuous function.
>>>>>>
>>>>>> Have Fun!
>>>>>>
>>>>>> Bye
>>>>>>
>>>>>> Ross Finlayson schrieb:
>>>>>>> Gaplessness (intermediate-value) inside ZF
>>>>>>>
>>>>>>> “IVP_d” ≡ ∀a,b∈E_d ∀k∈d+1 (a ≺_d b → ∃c∈E_d (c=part_d(k) ∧ a ≼_d c
>>>>>>> ≼_d b))
>>>>>>> ZF ⊢ ∀d≥1 IVP_d  (finite intermediate-value property)
>>>>>>>
>>>>
>>>
>>
> 

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Thread

Example of IVT leading to Irrational Numbers (Was: Rossy Boy roasted by Kimi [Intermediate Value Theorem Wrong]) Mild Shock <janburse@fastmail.fm> - 2025-11-14 00:39 +0100
  The technical term is only "dense order" (Was: Example of IVT leading to Irrational Numbers) Mild Shock <janburse@fastmail.fm> - 2025-11-14 00:41 +0100
    My attention mechanism is better than any AI [For Internet Cranks] (Was: The technical term is only "dense order") Mild Shock <janburse@fastmail.fm> - 2025-11-14 00:45 +0100
      Re: My attention mechanism is better than any AI [For Internet Cranks] (Was: The technical term is only "dense order") Ross Finlayson <ross.a.finlayson@gmail.com> - 2025-11-14 05:58 -0800
        Who else , John Gabriel [MVT Locus caeruleus] (Was: My attention mechanism is better than any AI [For Internet Cranks]) Mild Shock <janburse@fastmail.fm> - 2025-11-14 17:55 +0100
          IVT + EVT gives MVT via Rolle [Using Superintelligence by the Speed of Light] (Was: Who else , John Gabriel [MVT Locus caeruleus]) Mild Shock <janburse@fastmail.fm> - 2025-11-14 18:05 +0100

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