On Fri, 20 Sep 2019 at 09:47, Alan Grayson <[email protected]> wrote:

>
>
> On Thursday, September 19, 2019 at 2:31:18 PM UTC-6, stathisp wrote:
>>
>>
>>
>> On Fri, 20 Sep 2019 at 01:15, Alan Grayson <[email protected]> wrote:
>>
>>>
>>>
>>> On Thursday, September 19, 2019 at 7:47:44 AM UTC-6, Quentin Anciaux
>>> wrote:
>>>>
>>>>
>>>>
>>>> Le jeu. 19 sept. 2019 à 15:37, Alan Grayson <[email protected]> a
>>>> écrit :
>>>>
>>>>>
>>>>>
>>>>> On Thursday, September 19, 2019 at 5:02:11 AM UTC-6, Bruno Marchal
>>>>> wrote:
>>>>>>
>>>>>>
>>>>>> On 16 Sep 2019, at 17:18, Alan Grayson <[email protected]> wrote:
>>>>>>
>>>>>>
>>>>>>
>>>>>> On Monday, September 16, 2019 at 9:00:46 AM UTC-6, Bruno Marchal
>>>>>> wrote:
>>>>>>>
>>>>>>>
>>>>>>> On 14 Sep 2019, at 05:22, Alan Grayson <[email protected]> wrote:
>>>>>>>
>>>>>>>
>>>>>>>
>>>>>>> On Friday, September 13, 2019 at 4:08:23 PM UTC-6, John Clark wrote:
>>>>>>>>
>>>>>>>> On Thu, Sep 12, 2019 at 10:26 PM Alan Grayson <[email protected]>
>>>>>>>> wrote:
>>>>>>>>
>>>>>>>>
>>>>>>>>> *> Carroll also believes that IF the universe is infinite, then
>>>>>>>>> there must exist exact copies of universes and ourselves. This is
>>>>>>>>> frequently claimed by the MWI true believers, but never, AFAICT, 
>>>>>>>>> proven, or
>>>>>>>>> even plausibly argued.  What's the argument for such a claim?*
>>>>>>>>>
>>>>>>>>
>>>>>>>> Of course it's been proven! It's simple math, there are only a
>>>>>>>> finite number of ways the atoms in your body, or even the entire 
>>>>>>>> OBSERVABLE
>>>>>>>> universe, can be arranged so obviously if the entire universe is 
>>>>>>>> infinite
>>>>>>>> then there is going to have to be copies, an infinite number of them in
>>>>>>>> fact. Max Tegmark has even calculated how far you'd have to go to
>>>>>>>> see such a thing.
>>>>>>>>
>>>>>>>
>>>>>>> What I think you're missing (and Tegmark) is the possibility of
>>>>>>> UNcountable universes. In such case, one could imagine new universes 
>>>>>>> coming
>>>>>>> into existence forever and ever, without any repeats.  Think of the 
>>>>>>> number
>>>>>>> of points between 0 and 1 on the real line, each point associated with a
>>>>>>> different universe. AG
>>>>>>>
>>>>>>>
>>>>>>>
>>>>>>> Tegmark missed this?
>>>>>>>
>>>>>>> Deutsch did not, and in his book “fabric of reality”, he gave rather
>>>>>>> good argument in favour of Everett-type of multiverse having non 
>>>>>>> countable
>>>>>>> universe. That makes sense with mechanism which give raise to a 
>>>>>>> continuum
>>>>>>> (2^aleph_0) of histories, but the “equivalence class” brought by the
>>>>>>> measure can have lower cardinality, or bigger. Open problem, to say the
>>>>>>> least.
>>>>>>>
>>>>>>
>>>>>> *What you're not addressing is that with uncountable universes --
>>>>>> which I haven't categorically denied could arise -- it's not obvious that
>>>>>> any repeats necessarily occur. I don't believe any repeats occur. AG *
>>>>>>
>>>>>>
>>>>>>
>>>>>> I assume the mechanist hypothesis, which shows that the repeat exist,
>>>>>> indeendly of the cardinality of the number of histories. At some point 
>>>>>> the
>>>>>> difference are not more relevant, due to the Digital mechanist truncate,
>>>>>> which makes the repeats even more numerous in the non countable case.
>>>>>>
>>>>>
>>>>> *I don't believe in repeats and I haven't seen any proofs that they
>>>>> occur, just assertions from the usual suspects. AG  *
>>>>>
>>>>
>>>> Imagine a movie in 1280x720 pixels, then the same in  1920x1080  pixels
>>>> then in 3840x2160 pixels... always the same but with more and more
>>>> "precision", once you are at the correct substitution level (the level at
>>>> which your consciousness is preserved) then any more precise simulation
>>>> thant the ones at the correct level (which exists by assumption and there
>>>> are an infinity of them) does not make any difference, but there are an
>>>> infinity of them (at the correct level and below it).
>>>>
>>>
>>> Let's suppose we correspond possible universes with the positive
>>> integers, and also assume there's a property with uncountable outcomes,
>>> such as a continuous mass in some range for any particle of your choice. No
>>> matter how many countable universes you can imagine, there's no necessity
>>> for any repeats of the mass of your particle; hence, no repeats of any
>>> universe. AG
>>>
>>
>> If finite precision of a continuous quantity is used, the outcomes are
>> not uncountable.
>>
>>> --
>> Stathis Papaioannou
>>
>
> I specifically used a COUNTABLE model as a possible counter example of the
> necessary existence of copies. AG
>

Do you think the number of mental states a human can possibly have is
finite, countably infinite or uncountably infinite?


-- 
Stathis Papaioannou

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