> On 6 Jul 2019, at 13:32, Philip Thrift <[email protected]> wrote:
> 
> 
> 
> On Saturday, July 6, 2019 at 1:42:20 AM UTC-5, Bruno Marchal wrote:
> 
>> On 6 Jul 2019, at 05:57, Philip Thrift <[email protected] <javascript:>> 
>> wrote:
>> 
>> 
>> 
>> On Friday, July 5, 2019 at 9:27:11 AM UTC-5, Bruno Marchal wrote:
>> 
>>> On 4 Jul 2019, at 10:57, Philip Thrift <[email protected] <>> wrote:
>>> 
>>> 
>>> On Thursday, July 4, 2019 at 3:31:27 AM UTC-5, Bruno Marchal wrote:
>>> 
>>> > On 3 Jul 2019, at 19:54, 'Brent Meeker' via Everything List 
>>> > <[email protected] <>> wrote:
>>>  
>>> > You may be able to access your subjective time, but does it provide a 
>>> > measure...and if so what is it? 
>>> 
>>> 
>>>  
>>> We get three candidates for the logic of the measure one, given by the 
>>> logic of the intensional variant of G ([]p): 
>>> 
>>> []p & p 
>>> []p & <>t 
>>> []p & <>t & p 
>>> 
>>> With “[]” = Gödel’s beweisbar, and p is any  sigma_1 arithmetical sentences 
>>> (it models the Universal dovetailing). 
>>> 
>>> If that logic verifies some technical condition (described by Von Neuman in 
>>> some papers), the logic should provides the entire probability calculus, as 
>>> it has to do if Mechanism is correct. 
>>> 
>>> G and G* splits both []p & <>t and []p & <>t & p. So we get 5 logics, but 
>>> normally, only the starred logic should provides the measure, because it 
>>> depends on the true structure made by the 1p experiences, and not the 
>>> experienced experiences. Our future depends non locally of all our existing 
>>> “preparation” or “reconstitution” that exists in the (sigma_1) arithmetic  
>>> (the universal dovetailer). 
>>> 
>>> 
>>> 
>>> Bruno 
>>> 
>>> 
>>> 
>>> 
>>> If that above is a correct experientiality logic, then what would be a 
>>> 'machine' -- defined in terms of physics (or chemistry or biology) -- to 
>>> execute it?
>>> 
>>> We know one 'machine' exists: our brain. But what machine is that?
>> 
>> 
>> 
>> That’s a very good question, but not an easy one, especially if you are not 
>> familiar with the “universal dovetailer argument” and our 
>> self-multiplication in arithmetic. 
>> 
>> The brain exist phenomenologically, and it is not a machine, even if it is 
>> something which supports computation. In fact it is the same for a computer.
>> 
>> You could say that a brain or a computer is a digital machine (supporting 
>> our computation), but that it is itself supported by an infinity of 
>> computations. Intuitively (accepting classical quantum physics momentarily) 
>> a piece of matter is a map of all the realities you will access if you 
>> attempt to figure out some aspect of those sub-level computations. You can 
>> imagine that there is one computation for each possible position (and 
>> momentum) of each electron in that piece of matter, and the electron itself 
>> is a complicated invariant of some possible field. But the multiplication 
>> can be triggered by the observation, by some alien, even far away, of its 
>> own piece of matter. Such a multiplication is contaminated by the alien to 
>> you, at the speed of light (or below) assuming again the physics of today 
>> (which we seem to recover until now).
>> 
>> It is certainly hard to imagine: a brain our a physical computer is made up 
>> of the histories we can share, and which are supported by the infinitely 
>> many computations (which are run in Arithmetic) with more details than we 
>> need to have our computational state. 
>> An image would be that a piece of matter is made of those computations, but 
>> that is still a misleading metaphor, as matter is not something made of 
>> anything, but is more like a qualia (a first person notion), which we can 
>> share among locally independent universal machine.
>> 
>> I can argue, that both intuitively (with some many-world account of QM) and 
>> formally (using the self-reference logics and the quantum logical formalism) 
>> that nature confirms this (with some degree), but that will not help, QM 
>> itself does not admit simple interpretation, and there is no unanimity of 
>> how to interpret it. Mechanism makes this both more simple (the many 
>> computations are easy to study), and more complex, because the internal 
>> views are based on incompleteness which is rather counter-intuitive too.
>> 
>> It is exactly what I am searching: what is matter when we understand that 
>> the physical reality is more like an infinity of computer simulation 
>> interfering statistically? The math, a bit like with the current physical 
>> theories, can only give epistemic observable and predictions rules, and that 
>> is how we can test mechanism experimentally. Matter conceived as something 
>> made of tiny particles is a concept that we need to abandon: they are 
>> abstract feature introduce by ourself when we look at things, but with a 
>> very general notion of ourself (all universal machines in arithmetic). The 
>> math suggest that the “bottom” of the physical reality is a highly 
>> symmetrical structure which is highly not symmetrical from the perspective 
>> of the average universal number in arithmetic.
>> 
>> I hope this helps. I will make a glossary which should add more help, soon 
>> or a bit later,
>> 
>> Bruno
>> 
>> 
>> 
>> The Kantian perspective is
>> 
>>              logic-of-X ≠ X-in-itself 
>> 
>> -- which is noumena, or matter.
>> 
>> All our conceptions of the world are prisoners of our logic (languages).
> 
> That is a good reason to make clear which logic we are using. The use of the 
> classical (usual) Church-Turing thesis means that we use classical logic in 
> the base Turing-universal ontology . We need that a program, when enacted (on 
> some input, or not) will either stop, or not stop, independently of us 
> knowing which is the case. 
> Then the phenomenologies (which emerges from incompleteness) get their own 
> logic (intuitionist for the first person) and quantum for the material 
> self-modes.
> 
> Cf:
> 
> p, 
> []p
> []p & p   first person mode
> []p & <>t material mode
> []p & <>t & p. Material and first person mode
> 
> Bruno
> 
> 
> 
> 
> 
> Whatever logic it is, its semantics (of a theory in that logic) is the 
> elephant in the room.
> 
> - https://en.wikipedia.org/wiki/Semantics_of_logic
> - https://en.wikipedia.org/wiki/Model_theory 
> <https://en.wikipedia.org/wiki/Model_theory>
> e.g. Whereas universal algebra provides the semantics for a signature, logic 
> provides the syntax.
> - https://plato.stanford.edu/entries/model-theory/
> 
> Semantics is the wild, wild west of logic.


You might try to make a point, perhaps. Semantic is obviously very important. 

Logic can be divided in three chapters:

- theory of theories and proofs (cf Gödel)

- semantics (Model theory) (cf Lowenheim, Skolem and Tarski, Mostowski, …)

- the relation between, theories and models, that is the study of (all) 
theories and all their semantics, usually through completeness and 
incompleteness theorems. 

Semantic is the heart of “modern logic”.  I do avoid using it here to much, 
because it is quickly rather technical. I hope people have some idea that the 
structure (N, 0, +, *) (which is the set N with the usual standard 
interpretation of + and *) is a model of both RA and PA. I might say a bit more 
in the glossary I am preparing. All “rich” theories have infinitely many non 
isomorphic models, and by incompleteness no theories at all can study its own 
semantics, but some theories can still say a lot about it, like its own 
incompleteness.

Bruno




> 
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> 
>  
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