> On 15 Aug 2018, at 21:33, Brent Meeker <meeke...@verizon.net> wrote:
> 
> 
> 
> On 8/15/2018 2:52 AM, Bruno Marchal wrote:
>>> And you have not recovered the quantitative aspect of the quantum structure,
>> I did at the propositional level, which is enough to have the quantum logic. 
>> It is richer than the quantum logic of the physicians, so this predicts new 
>> things. 
> 
> What are they?

The consequence of the Löb’s formula translated in the quantum logical terms. 
Those are long and ugly formula, still beyond the reach of my (old) theorem 
prover.





> 
>> 
>> 
>> 
>>> because you have not defined a measure on the computations of the UD.
>> Not yet, but I am willing to hear some constructive suggestion to progress. 
> 
> Then how can you claim to have recovered quantum mechanics if you cannot even 
> define a probability amplitude that is linear?


Because I have recovered enough to classify those logics as quantum logic. 
*Much* work needs to be done to get the corresponding “Gleason theorem”. It is 
just a matter of work. Nobody claims this to be simple, but people needs to get 
familiar with incompleteness before. Even Penrose got it wrong. There is still 
an abyss between logicians (allergic to metaphysics for historical reason well 
explained in the book by Cohen that I have often mentioned), and physicists 
(which are unaware of the notion of mathematical models or semantics). Things 
take time.

Bruno



> 
> Brent
> 
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