> On 1 Aug 2018, at 20:49, Brent Meeker <[email protected]> wrote:
> 
> 
> 
> On 8/1/2018 4:03 AM, Bruno Marchal wrote:
>> 
>>> On 31 Jul 2018, at 22:02, Brent Meeker <[email protected] 
>>> <mailto:[email protected]>> wrote:
>>> 
>>> 
>>> 
>>> On 7/31/2018 9:58 AM, Bruno Marchal wrote:
>>>> 
>>>>> On 31 Jul 2018, at 02:57, Brent Meeker <[email protected] 
>>>>> <mailto:[email protected]>> wrote:
>>>>> 
>>>>> 
>>>>> 
>>>>> On 7/30/2018 4:11 PM, John Clark wrote:
>>>>>> On Mon, Jul 30, 2018 at 4:27 PM, Brent Meeker <[email protected] 
>>>>>> <mailto:[email protected]>> wrote:
>>>>>> 
>>>>>> >> Many, perhaps most, physicists do exactly that because they believe 
>>>>>> >> in the "Shut Up And Calculate" quantum interpretation and are only 
>>>>>> >> interested in predicting how far to the right a indicator needle on a 
>>>>>> >> meter moves in a particular experiment. But for some of us that feels 
>>>>>> >> unsatisfying and would like to have a deeper understanding about 
>>>>>> >> what's going on at the quantum level and wonder why there is nothing 
>>>>>> >> in the mathematics that says anything about a wave                    
>>>>>> >>                    collapsing. 
>>>>>> 
>>>>>> > That's not true.  "The mathematics" originally included the Born rule 
>>>>>> > as part of the axiomatic structure of QM.  
>>>>>> 
>>>>>> 
>>>>>>  A axiom is supposed to be simple and self evidently true, the Born rule 
>>>>>> is neither; and it wasn't derived from first principles
>>>>> 
>>>>> ??  You think matix mechanics was "derived from first principles"??  What 
>>>>> "first principles"?  Have you gone platonic on us?
>>>>> 
>>>>>> it was picked for reasons that were were empirical and practical, for 
>>>>>> some strange reason the damn thing works.
>>>>> 
>>>>> Well, maybe it works because the Born rule is the only consistent way to 
>>>>> put a probability measure on Hilbert space.  Born just inuitited the rule 
>>>>> (and actually got it wrong and corrected it in a footnote); but Gleason 
>>>>> proved it in 1957.  So the Born rule comes a lot closer to being "derived 
>>>>> from first principles" than does Schroedinger's equation or matrix 
>>>>> mechanics. 
>>>> 
>>>> 
>>>> Yes. But we can suspect that Everett needs a form of mechanism, and with 
>>>> Church thesis, along with “yes doctor” that makes mandatory to derive 
>>>> matrix mechanics from first principle, like the FPI perhaps, and certainly 
>>>> something like at least one universal machinery, like elementary 
>>>> arithmetic or the combinators.
>>>> 
>>>> 
>>>> 
>>>>> 
>>>>> The catch is that Born had assume a probability interpretation; which 
>>>>> nobody liked at the time because they could only think of probability as 
>>>>> ignorance about ensembles and there were no ensembles...until Dewitt.
>>>> 
>>>> I like very much Dewitt, but Dewitt is the one who better understood 
>>>> Everett (after mocking him if I remember well).
>>> 
>>> I was referring to the fact that it was Dewitt who invented the 
>>> mulitple-world interpretation.  Everett called it "the relative state" 
>>> interpretation, and didn't consider multiple worlds. 
>> 
>> 
>> Everett was asked by its publisher to not use the expression “parallel 
>> universes”, "many-worlds”, and said, according to some biographer, that he 
>> regretted this. Personally I prefer “relative sate”, but all this just 
>> allude to one and the same theory: QM-without-collapse. 
>> 
>> 
>> 
>> 
>>> 
>>>> 
>>>> 
>>>> 
>>>>> 
>>>>>> Also, the square of the absolute value of the complex wave produces a 
>>>>>> probability which collapses into a certainty when a observation is made, 
>>>>>> but the mathematics can't say when that happens because it doesn't say 
>>>>>> what a observation is.
>>>>> 
>>>>> Mathematics never includes the interpretation that allows you to apply 
>>>>> it.  
>>>> 
>>>> That is wrong. Indeed Gödel’s incompleteness is already a case where 
>>>> mathematics includes interpretations of mathematical theories (set of 
>>>> beliefs).
>>> 
>>> Interpreting arithmetical equations as sets of beliefs is already 
>>> interpretation.
>> 
>> With mechanism, that is the same as your consciousness:
> 
> 
> "With mechanism" all things follow since you just made up the term.


I do not understand. Mechanism is simply the idea that our body does not 
involve magical things, nor actual infinities. 



> 
>> it is an interpretation of the set of arithmetical semi-computable relations 
>> implemented by your brain relatively to computations in arithmetic. Adding a 
>> universe or a god, other than arithmetic or combinators cannot work, as a 
>> universal machine cannot distinguish a physical and an arithmetical reality 
>> (except experimentally).
> 
> A notable exception.

Yes, that is why we can test mechanism. But it is irrelevant for defending your 
point: in the self-duplication, you will feel reconstituted (or not) before you 
get the time to test for physicalness or arithmeticalness.



> 
>> You could say that intepretating schroedinger equation as a propagating wave 
>> is already an interpretation. In that sense, anything (except consciousness) 
>> is an interpretation.
> 
> Exactly.


But anything cannot be an interpretation. You need an interpreter first. Well, 
there are plenty of interpreters in arithmetic, so that is not a problem for 
those who believes that 2+2=4, or KSS = S.

Bruno




> 
> Brent
> 
>> That is what universal machine do: interpreting. I will click on some 
>> button, and my computer will interpret it as an invitation to send this mail.
>> 
>> Bruno
>> 
>> 
>> 
>>> 
>>> Brent
>>> 
>>>> Like Everett embeds the physicists in physics, mathematical logic embeds 
>>>> the mathematician in mathematics, and if mechanism is correct, there is 
>>>> not much choice left in the matter.
>>>> 
>>>> Bruno
>>>> 
>>>> 
>>>> 
>>>> 
>>>>> 
>>>>> Brent
>>>>> 
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