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

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