> 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 >>>>> >>>>> -- >>>>> You received this message because you are subscribed to the Google Groups >>>>> "Everything List" group. >>>>> To unsubscribe from this group and stop receiving emails from it, send an >>>>> email to [email protected] >>>>> <mailto:[email protected]>. >>>>> To post to this group, send email to [email protected] >>>>> <mailto:[email protected]>. >>>>> Visit this group at https://groups.google.com/group/everything-list >>>>> <https://groups.google.com/group/everything-list>. >>>>> For more options, visit https://groups.google.com/d/optout >>>>> <https://groups.google.com/d/optout>. >>>> >>>> -- >>>> You received this message because you are subscribed to the Google Groups >>>> "Everything List" group. >>>> To unsubscribe from this group and stop receiving emails from it, send an >>>> email to [email protected] >>>> <mailto:[email protected]>. >>>> To post to this group, send email to [email protected] >>>> <mailto:[email protected]>. >>>> Visit this group at https://groups.google.com/group/everything-list >>>> <https://groups.google.com/group/everything-list>. >>>> For more options, visit https://groups.google.com/d/optout >>>> <https://groups.google.com/d/optout>. >>> >>> >>> -- >>> You received this message because you are subscribed to the Google Groups >>> "Everything List" group. >>> To unsubscribe from this group and stop receiving emails from it, send an >>> email to [email protected] >>> <mailto:[email protected]>. >>> To post to this group, send email to [email protected] >>> <mailto:[email protected]>. >>> Visit this group at https://groups.google.com/group/everything-list >>> <https://groups.google.com/group/everything-list>. >>> For more options, visit https://groups.google.com/d/optout >>> <https://groups.google.com/d/optout>. >> >> -- >> You received this message because you are subscribed to the Google Groups >> "Everything List" group. >> To unsubscribe from this group and stop receiving emails from it, send an >> email to [email protected] >> <mailto:[email protected]>. >> To post to this group, send email to [email protected] >> <mailto:[email protected]>. >> Visit this group at https://groups.google.com/group/everything-list >> <https://groups.google.com/group/everything-list>. >> For more options, visit https://groups.google.com/d/optout >> <https://groups.google.com/d/optout>. > > > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected] > <mailto:[email protected]>. > To post to this group, send email to [email protected] > <mailto:[email protected]>. > Visit this group at https://groups.google.com/group/everything-list > <https://groups.google.com/group/everything-list>. > For more options, visit https://groups.google.com/d/optout > <https://groups.google.com/d/optout>. -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.

