Le sam. 29 févr. 2020 à 06:35, Alan Grayson <[email protected]> a
écrit :

>
>
> On Thursday, February 27, 2020 at 5:41:57 AM UTC-7, Bruno Marchal wrote:
>>
>>
>> On 26 Feb 2020, at 18:06, Alan Grayson <[email protected]> wrote:
>>
>>
>>
>> On Wednesday, February 26, 2020 at 4:35:54 AM UTC-7, Bruno Marchal wrote:
>>>
>>>
>>> On 25 Feb 2020, at 12:43, Bruce Kellett <[email protected]> wrote:
>>>
>>> On Tue, Feb 25, 2020 at 10:26 PM Bruno Marchal <[email protected]> wrote:
>>>
>>>> On 24 Feb 2020, at 23:22, Bruce Kellett <[email protected]> wrote:
>>>>
>>>> On Tue, Feb 25, 2020 at 12:10 AM Bruno Marchal <[email protected]>
>>>> wrote:
>>>>
>>>>> On 23 Feb 2020, at 23:49, Bruce Kellett <[email protected]> wrote:
>>>>>
>>>>> On Mon, Feb 24, 2020 at 12:21 AM Bruno Marchal <[email protected]>
>>>>> wrote:
>>>>>
>>>>>> On 23 Feb 2020, at 04:11, Bruce Kellett <[email protected]> wrote:
>>>>>>
>>>>>>
>>>>>> I don't really understand your comment. I was thinking of Bruno's
>>>>>> WM-duplication. You could impose the idea that each duplication at each
>>>>>> branch point on every branch is an independent Bernoulli trial with p = 
>>>>>> 0.5
>>>>>> on this (success being defined arbitrarily as W or M). Then, if these
>>>>>> probabilities carry over from trial to trial, you end up with every 
>>>>>> binary
>>>>>> sequence, each with weight 1/2^N. Summing sequences with the same number 
>>>>>> of
>>>>>> 0s and 1s, you get the Pascal Triangle distribution that Bruno wants.
>>>>>>
>>>>>> The trouble is that such a procedure is entirely arbitrary. The only
>>>>>> probability that one could objectively assign to say, W, on each 
>>>>>> Bernoulli
>>>>>> trial is one,
>>>>>>
>>>>>>
>>>>>> That is certainly wrong. If you are correct, then P(W) = 1 is written
>>>>>> in the personal diary,
>>>>>>
>>>>>
>>>>> I did say "objectively assign". In other words, this was a 3p comment.
>>>>> You confuse 1p with 3p yet again.
>>>>>
>>>>>
>>>>> Well, if you “objectively” assign P(W) = 1, the guy in M will
>>>>> subjectively refute that prediction, and as the question was about the
>>>>> subjective accessible experience, he objectively, and predictably, refute
>>>>> your statement.
>>>>>
>>>>
>>>>
>>>> And if you objectively assign p(W) = p(M) = 0.5, then with the W-guy
>>>> and the M-guy will both say that your theory is refuted, since they both
>>>> see only one city: W-guy, W with p = 1.0, and the M-guy, M with p =1.0..
>>>>
>>>>
>>>> That is *very* weird. That works for the coin tossing experience too,
>>>> even for the lottery. I predicted that I have 1/10^6 to win the lottery,
>>>> but I was wrong, after the gale was played I won, so the probability was
>>>> one!
>>>>
>>>> In Helsinki, the guy write P(W) = P(M) = 1/2. That means he does not
>>>> yet know what outcome he will feel to live. Once the experience is done,
>>>> one copy will see W, and that is coherent with his prediction, same for the
>>>> others. He would have written P(W) = 1, that would have been felt as
>>>> refuted by the M guy, and vice-versa.
>>>>
>>>
>>> But if he wrote p(W) = 0.9 and p(M) = 0.1 he would get exactly the same
>>> result. The proposed probabilities are here without effect.
>>>
>>>
>>> If I toss a perfect coin too.
>>>
>>> Of course, that would lead directly to some problem with the iterated
>>> case scenario.
>>>
>>>
>>>
>>>
>>>
>>> If not, tell me what is your prediction in Helsinki again, by keeping in
>>>>> mind that it concerns your future subjective experience only.
>>>>>
>>>>
>>>>
>>>> In Helsinki I can offer no value for the probability since, given the
>>>> protocol, I know that all probabilities will be realized on repetitions of
>>>> the duplication.
>>>>
>>>>
>>>> In the 3p picture. Indeed, that is, by definition, the protocol. But
>>>> the question is not about where you will live after the experience (we know
>>>> that it will be in both cities), but what do you expect to live from the
>>>> first person perspective, and here P(W & M) is null, as nobody will ever
>>>> *feel to live* in both city at once with this protocole.
>>>>
>>>
>>> And, as I have repeated shown, the first person perspective does not
>>> give you any expectations at all.
>>>
>>>
>>> If I am duplicated like in the 2^(16180 * 10000) * (60 * 90) * 24
>>> “movie” scenario, I do expect seeing white noise, and I certainly don’t
>>> expect to see “2001, Space Odyssey” with Tibetan subtitle.
>>>
>>> I am not sure what you mean by “the first person perspective does not
>>> give any expectations”.
>>>
>>> Do you agree that if you are promised, in Helsinki, that a cup of coffee
>>> will be offered to you, both in M and W, you can expect, with probability
>>> one, to get a cup of coffee after pushing the button in Helsinki? (Assuming
>>> Mechanism, of course).
>>>
>>> I would expect, in Helsinki,  to drink a cup of coffee with probability
>>> one (using this protocole and all default hypotheses, like no asteroids
>>> hurt the planet in the meantime, etc.).
>>>
>>> And I would consider myself maximally ignorant if that coffee will be
>>> Russian or American coffee.
>>>
>>>
>>>
>>>
>>>
>>> The experience is totally symmetrical in the 3p picture, but that
>>>> symmetry is broken from the 1p perspective of each copy. One will say “I
>>>> feel to be in W, and not in M” and the other will say “I feel to be in M
>>>> and not in W”.
>>>>
>>>
>>> Regardless of any prior probability assignment.
>>>
>>>
>>> Exactly.
>>>
>>>
>>>
>>>
>>>
>>> I cannot infer a probability from just one trial, but the probability I
>>>> infer from N repetitions can be any value in [0,1].
>>>>
>>>>
>>>> But we try to find the probability from the theory.
>>>>
>>>
>>> And we use the experimental data to test the theory. If you predict p(W)
>>> = p(M) =0.5, after a large number of duplications that prediction will be
>>> refuted by the majority of the copies. In fact, in the limit, only a set of
>>> measure zero will obtain p = 0.5 from their data.
>>>
>>>
>>> Then that is true for the iterated coin tossing too, and there is no
>>> probabilities at all.
>>>
>>>
>>>
>>>
>>> As I illustrated with the WMS triplication, unknown to the candidate, we
>>>> see that we cannot infer any probabilities, from experiences alone.
>>>>
>>>
>>> What the WMS example shows is that if you guess the wrong theory, you
>>> will get the wrong answer.
>>>
>>>
>>> Yes, and that shows that the fact the guy in Helsinki knows the true
>>> protocol is important, to derive the theoretical first person indeterminacy.
>>>
>>> If you have a problem with the specific answer P = 1/2, keep in mind
>>> that this is not use in the reduction of the mind-body problem the
>>> derivation of matter appearance from a statistics on all computation (“all
>>> computations” being defined in arithmetic). What is used is only the first
>>> person indeterminacy (and some variants) and the fact that the means to
>>> calculate the probabilities, or the credibilities, or the plausibilities is
>>> invariant for the changes made at each step of the Universal Dovetailer
>>> Argument.  (P = 1/2 is used just to fix the idea, and also because most
>>> people find this to be the natural easiest solution with this “simple”
>>> protocol).
>>>
>>>
>>>
>>>
>>> Keep in mind that we *postulate* Mechanism. We work precisely in the
>>>> frame of that theory/hypothesis.
>>>>
>>>
>>>
>>> You might do so. But I do not. I am working with the protocols and data
>>> as they are generated.
>>>
>>>
>>> You seem to use also the assumption that there is a physical reality,
>>> even a unique one. That is the point which does no more work when we assume
>>> digital mechanism, or you need to say more about that ontological physical
>>> universe, and explain how it makes consciousness, and how it deprives the
>>> same computation in arithmetic of consciousness.
>>>
>>> Bruno
>>>
>>
>> *Bruno; What's the difference between mechanism and digital mechanism? *
>>
>>
>>
>> In all my posts, there is none. I use Mechanism as a shortcut for
>> “Digital Mechanism”, or “Indexical Digital Mechanism”, that is what I sum
>> up by YD + CT (Yes doctor, for the acceptance of a digital brain, and CT =
>> Church Turing, of Church’s thesis or equivalent).
>>
>> Mathematically, we can give sense to “non computable phenomenon”, and
>> some non-digital form of mechanism could not been excluded, bu most
>> described in the literature fails to be non digitalisable, and I am not
>> sure a non digital mechanist hypothesis makes sense, or could be made
>> precise enough. In fact, when a non digital notion is made precise, it
>> usullat can be shown to be digitally emulable, after all. But from a pure
>> logical point of view, we cannot exclude this. Some people do argue that
>> all forms of mechanism are digital. I don’t know, but I study only the
>> consequence of the digital hypothesis.
>>
>>
>>
>>
>> *What's the difference between 1p and 3p? *
>>
>>
>> It is like the difference between seeing someone tortured and being
>> tortured. The 1p is the first person subjective account of you feel and
>> could write in a personal diary, where, at least in a first approximation,
>> the 3p is the account of an “external observer”.
>>
>> Actually, I have invested the duplication experience tp make clear that
>> difference. In the 3p account, we have a perfect symmetry between the
>> copies, but in the first person diary, it diverges.
>>
>>
>>
>>
>> *If digital mechanism (which I assume you mean a brain can be replaced by
>> a digital computer) *
>>
>>
>> Roughly speaking, yes. When progressing in the reasoning, that has to be
>> made more precise, but this is better done au fur et à mesure.
>>
>>
>>
>> *and the postulates of arithmetic cannot create space,*
>>
>>
>> Nor does any postulate. The postulation of space does not create space
>> either.
>>
>> Now, not only does the postulates of arithmetic not creating space, but
>> the arithmetical reality does not create space either too.
>>
>> To be honest, I don’t no what could create space, and I doubt such a
>> thing can ever exist in any other sense that by self-localisation
>> experience made by coherent dreams or “video-games”.
>>
>>
>>
>>
>> * how can these two concepts imply and create Many Worlds, presumably
>> worlds without space? AG  *
>>
>>
>>
>> What all mathematical logicians do know, (and apparently only them), is
>> that all computations (by definition: a computation is the activity of a
>> universal machine or machinery) are emulated (executed) in virtue of the
>> number relations.
>>
>> Exactly like you can prove the existence of all prime numbers, and study
>> they astonishing behaviour, using just the laws of succession, addition and
>> multiplication, you can prove the existence of all computations using just
>> the same laws.
>>
>> If you ask, I can explain more on this. I do that for time to time in
>> this list. With all details, or just a sketchy summary, as you want. They
>> key element is the Church-Turing thesis (found by Emil Post before, and
>> understood and made precise by Kleene).
>> Church’s thesis is everything but obvious.
>>
>> Bruno
>>
>
> The bottom line IMO is that you acknowledge NOT being able to use
> arithmetic to create space,
>

He doesn't need to, he just have to get the appearance of space/matter. And
after all, that's all we get in reality, if we could be sure about the
ontological status of matter, we wouldn't  discuss it.

Quentin


> regardless of the number of computations, yet you claim to be able to
> create worlds with arithmetic alone.  Have you any way to resolve this
> insufficiency? It's true that existence of space leaves the question of its
> creation unresolved, but I fail to see why infinite computations offers an
> answer. AG
>
>>
>>
>>
>>
>>
>>
>>
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