Bruno: Arithmetical truth escapes largely the computable arithmetical truth
(by Gödel).


Richard: I guess I am too much a physicist to believe that uncomputible
arithmetical truth can produce the physical.
Since you read my paper you know that I think computations in this universe
if holographic are limited to 10^120 bits (the Lloyd limit) which is very
far from infinity. I just do not believe in infinity. In other words, I
believe the largest prime number in this universe is less than 10^120. So I
will drop out of these discussions. My assumptions differ from yours.


On Tue, Oct 15, 2013 at 10:53 AM, Bruno Marchal <[email protected]> wrote:

>
> On 15 Oct 2013, at 13:21, Quentin Anciaux wrote:
>
>
>
>
> 2013/10/15 Richard Ruquist <[email protected]>
>
>>
>>
>> ---------- Forwarded message ----------
>> From: Quentin Anciaux <[email protected]>
>> Date: Tue, Oct 15, 2013 at 6:54 AM
>> Subject: Re: The probability problem in Everettian quantum mechanics
>> To: [email protected]
>>
>>
>>
>>
>>
>> 2013/10/15 Richard Ruquist <[email protected]>
>>
>>> Bruno: On the contrary: I assume only that my brain (or generalized
>>> brain) is computable, then I show that basically all the rest is not. In
>>> everything, or just in arithmetic, the computable is rare and exceptional.
>>>
>>> Richard: Wow. This contradicts everything I have ever though Bruno was
>>> claiming. How does anything exist if it is not computed by "the" or "a"
>>> machine? And I thought the generalized brain did the computations, not that
>>> it was only computed. How does Bruno show that "all the rest" which
>>> presumably includes energy and matter is not computed. Bruno is constantly
>>> confusing me.
>>>
>>>
>> Energy and matter (and the universe whatever it is), is composed by the
>> sum of the infinity of computations going through your state.... as it is
>> defined by an infinity of computations (and not one), it is not "computed".
>>
>> A piece of matter (or you fwiw) below the substitution level is an
>> infinity of computations.
>>
>> Quentin
>>
>
>
> No I'm saying, that matter/you is not *a* computation, but the infinite
> set of computations going through your current state (at every state, an
> infinity of computations diverge, but there is still an infinity going
> through that state and it's for every state).
>
>
> Yes. It generalizes what Everett did on the universal quantum wave, on the
> whole arithmetical truth (which contains the whole computer science
> theoretical truth). If QM is correct, the SWE is redundant, and a
> consequence of comp. Physics is one aspect of arithmetic seen by its
> internal creatures (the universal or not numbers). We can concretely
> extract physics from the interview of the chatty rich one (the Löbian
> numbers).
>
> Bruno
>
>
>
>
> Quentin
>
>>
>>
>> You seem to be saying that the infinity of computations are not computed.
>> That does not make sense.
>> Richard
>>
>>>
>>> On Tue, Oct 15, 2013 at 3:40 AM, Bruno Marchal <[email protected]>wrote:
>>>
>>>>
>>>> On 14 Oct 2013, at 21:30, meekerdb wrote:
>>>>
>>>>  On 10/14/2013 1:29 AM, Bruno Marchal wrote:
>>>>
>>>>
>>>>  On 13 Oct 2013, at 22:11, meekerdb wrote:
>>>>
>>>>  On 10/13/2013 1:48 AM, Bruno Marchal wrote:
>>>>
>>>>
>>>>  On 12 Oct 2013, at 22:53, meekerdb wrote:
>>>>
>>>>  On 10/12/2013 10:55 AM, Bruno Marchal wrote:
>>>>
>>>>
>>>>  On 11 Oct 2013, at 03:25, meekerdb wrote:
>>>>
>>>>   So there are infinitely many identical universes preceding a
>>>> measurement.  How are these universes distinct from one another?   Do they
>>>> divide into two infinite subsets on a binary measurement, or do infinitely
>>>> many come into existence in order that some branch-counting measure
>>>> produces the right proportion?  Do you not see any problems with assigning
>>>> a measure to infinite countable subsets (are there more even numbers that
>>>> square numbers?).
>>>>
>>>> And why should we prefer this model to simply saying the Born rule
>>>> derives from a Bayesian epistemic view of QM as argued by, for example,
>>>> Chris Fuchs?
>>>>
>>>>
>>>>  If you can explain to me how this makes the parallel "experiences",
>>>> (then), disappearing, please do.
>>>>
>>>>
>>>> I don't understand the question.  What parallel experiences do you
>>>> refer to?  And you're asking why they disappeared?
>>>>
>>>>
>>>>  The question is "how does Fuchs prevent a superposition to be
>>>> contagious on the observer"
>>>>
>>>>
>>>> I think he takes an instrumentalist view of the wave function - so
>>>> superpositions are just something that happens in the mathematics.
>>>>
>>>>
>>>>  But then I don't see how this could fit with even just the one photon
>>>> interference in the two slits experiment.
>>>>
>>>>
>>>> ?? The math predicts probabilities of events, including where a single
>>>> photon will land in a Young's slit experiment - no superposition of
>>>> observer required.
>>>>
>>>>
>>>>
>>>> But it illustrates that superposition is physical/real, not purely
>>>> mathematical. Then linearity expands it to us.
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>  When I read Fuchs I thought this: Comp suggest a compromise: yes the
>>>> "quantum wave" describes only psychological states, but they concern still
>>>> a *many* dreams/worlds/physical-realities, including the many
>>>> self-multiplication.
>>>>
>>>>
>>>> There is no "many" in Fuchs interpretation, there is only the personal
>>>> subjective probabilities of contemplated futures.
>>>>
>>>>
>>>>  I notice the plural of "futures". Are those not "many"?
>>>>
>>>>
>>>> Sure, but they are contemplated, not reified.
>>>>
>>>>
>>>>  OK. But apparently object of contemplation can interfere with the
>>>> real, which is a bit weird to me.
>>>>
>>>>
>>>> The 'interference' is a calculational event 'between' possible
>>>> futures.  Or even the result of considering all possible paths.
>>>>
>>>>
>>>> That leads to instrumentalism. That is "don"t ask, don't try to
>>>> understand or get a bigger picture".
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>  I know Fuchs criticize Everett, but I don't see how he makes the
>>>> superposition disappearing. he only makes them psychological, which is not
>>>> a problem for me. there are still "many".
>>>>
>>>>
>>>>
>>>> Yes, that's why I said I think his approach is consistent with yours.
>>>> I think Fuchs view of QM is similar to what William S. Cooper calls for at
>>>> the end of his book "The Evolution of Reason" - a probabilistic extension
>>>> of logic. This is essentially the view he defends at length in "Interview
>>>> with a Quantum Bayesian", arXiv:1207.2141v1
>>>>
>>>>
>>>>  OK.
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>  It is still Everett wave as seen from inside.
>>>>
>>>>  We just don't know if the dreams defined an unique (multiversal)
>>>> physical reality. Neither in Everett +GR, nor in comp.
>>>>
>>>>  Bayesian epistemic view is no problem, but you have to define what is
>>>> the knower, the observer, etc. If not, it falls into a cosmic form of
>>>> solipsism, and it can generate some strong "don't ask" imperative.
>>>>
>>>>
>>>> You assume that if others are not explained they must be rejected.
>>>>
>>>>
>>>>  I just ask for an explanation of the terms that they introduce.
>>>>
>>>>
>>>>
>>>> I think he takes the observer as primitive and undefined (and I think
>>>> you do the same).
>>>>
>>>>
>>>>
>>>>  What? Not at all. the observer is defined by its set of beliefs,
>>>> itself define by a relative universal numbers.
>>>>
>>>>
>>>> Fuchs defines 'the observer' as the one who bets on the outcome of his
>>>> actions.
>>>>
>>>>  Comp has a pretty well defined notion of observer, with its octalist
>>>> points of view, and an whole theology including his physics, etc.
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>  Physicists, like Fuchs, and unlike philosophers, are generally
>>>> comfortable with not explaining everything.
>>>>
>>>>
>>>>  Me too. but he has still to explain the terms that he is using.
>>>>
>>>>
>>>> What's your explanation for the existence of persons?  So far what I've
>>>> heard is that it's an inside view of arithmetic - which I don't find very
>>>> enlightening.
>>>>
>>>>
>>>>  What do you miss in the UDA?
>>>>
>>>>
>>>> As I understand it the UD computes everything computable and it's only
>>>> your inference that observers (and the rest of the multiverse) *must be in
>>>> there somewhere* because you've assumed that everything is computable.
>>>>
>>>>
>>>>
>>>> On the contrary: I assume only that my brain (or generalized brain) is
>>>> computable, then I show that basically all the rest is not. In everything,
>>>> or just in arithmetic, the computable is rare and exceptional.
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>  Fuchs, correctly I think, says an 'interpretation' of a theory, the
>>>> story that goes along with the mathematics, is important insofar as it
>>>> gives you insight into how to apply the mathematics and to extend your
>>>> theories.  He is critical of Everett's MWI for not doing that, or at least
>>>> not doing it well.
>>>>
>>>>
>>>>  Well, perhaps Fuchs is a bit out of topic, once you agree that it is
>>>> only Everett in a psychological version.
>>>>
>>>>
>>>> It's kinda funny to see "only...psychological" from a guy who wants to
>>>> show that everything is a shared dream.
>>>>
>>>>
>>>> I said that just to say that comp is both on Fuchs' side, and on
>>>> Everett's side.
>>>>
>>>>
>>>>
>>>>  That is close to comp. But comp leads, by UDA, that the theory of
>>>> everuthing is just elementary arithmetic (or Turing equivalent, like
>>>> colmbinatirs, ...). Then everything is defined in a very precise way in
>>>> that theory.
>>>>
>>>>
>>>> Is it?  What's an electron then?  What's John K. Clark?  I don't see
>>>> that these things are defined *in that theory* at all.
>>>>
>>>>
>>>> ?
>>>> This is a consequence of already the step seven. Of course a question
>>>> like "what is an electron" remains an open problem, but we know the shape
>>>> of the answer: an electron is a relatively stable information pattern in
>>>> the FPI of all universal numbers.
>>>>
>>>> Bruno
>>>>
>>>>
>>>>
>>>>
>>>> Brent
>>>>
>>>>  And this explains both 100% matter and 99,999... % of consciousness.
>>>> The explanation might be false, of course, but is testable.
>>>>
>>>>  Bruno
>>>>
>>>>
>>>>
>>>>
>>>> Brent
>>>>
>>>>
>>>>  Bruno
>>>>
>>>>
>>>>
>>>>
>>>> Brent
>>>> "I mistrust all systematizers and avoid them. The will to a system is a
>>>> lack of integrity."
>>>>     --- Fredrick Nietzsche, "Twilight of the Idols"
>>>>
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