On Monday, February 24, 2020 at 6:55:59 AM UTC-7, Bruno Marchal wrote:
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> On 24 Feb 2020, at 05:44, Alan Grayson <[email protected] <javascript:>> 
> wrote:
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> On Sunday, February 23, 2020 at 5:08:16 AM UTC-7, Bruno Marchal wrote:
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>> On 21 Feb 2020, at 14:25, Alan Grayson <[email protected]> wrote:
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>> On Friday, February 21, 2020 at 3:40:51 AM UTC-7, Bruno Marchal wrote:
>>>
>>>
>>> On 20 Feb 2020, at 21:59, Alan Grayson <[email protected]> wrote:
>>>
>>> I think Bruce's position is that quantum processes are inherently random 
>>> and thus NOT computable. Doesn't this conclusion, if true, totally 
>>> disconfirm Bruno's theory that the apparent physical universe comes into 
>>> being by computations of arithmetic pre-existing principles or postulates? 
>>> AG
>>>
>>> On the contrary, Mechanism reduces the apparent indeterminacy to the 
>>> computable. With mechanism, things might be too much non computable, when 
>>> you take the first person indeterminacy into account. Then the math shows 
>>> that this refutation of mechanism does not work, as the computations are 
>>> done with the exact redundancy making the physical reality enough 
>>> computable to get stable histories. 
>>>
>>> Mechanism entails that the physical reality cannot be entirely computed, 
>>> like it predicted that no piece of matter can be cloned. Indeed, it emerges 
>>> from a non computable statistics on infinitely many computation, which are 
>>> not algorithmically recognisable in arithmetic. We can test mechanism by 
>>> measuring its degree of non computability. Too much computable would be 
>>> more problematic than too much non-computable.
>>>
>>> Bruno
>>>
>>
>> I really can't follow the above. What I understand by mechanism (as you 
>> define it), is that the human nervous system, and presumably a human being, 
>> can be duplicated by computers.
>>
>> Yes. If you want, we could define a mechanist practitioners as someone 
>> accepting an artificial prosthesis, like an artificial heart (a pump), or 
>> an artificial kidney ( filter machine), etc. A mechanist is then someone 
>> accepting this whatever organ is concerned, and in particular an artificial 
>> and digital brain.
>>
>> If that's what you mean, can you explain each sentence above. For 
>> example, how does mechanism reduce the apparent indeterminacy to the 
>> computable? And so forth. AG
>>
>> Self-duplication is made possible by the Digital Mechanism. If you agree 
>> that with self-duplication,
>>
>
> *I don't. Although it has some plausibility, there's no way that 
> arithmetic alone can CREATE space and time. A computer can create "points" 
> in a hypothetical grid, and various types of distance formulas, but it 
> cannot create space or time.*
>
> Arithmetic cannot create space and time. I agree with you. That would be 
> rather magical indeed.
>

*Then arithmetic cannot create other worlds! End of story. Case closed. AG *

>
> But once you assume digital mechanism, 
>

*If arithmetic can't create other worlds, it throws grave doubt that 
digital mechanism is true. AG*
 

> and once you understand that the simple arithmetical truth emulates all 
> computations, you can understand that arithmetic create the experience of 
> space-time, and indeed, with, apparently until now, the right redundancy 
> which explain the “many-world” aspect of the physical reality, and that is 
> confirmed mathematically, in the sense that we recover quantum logic for 
> the logic of experimental s-certainty, relatively to the computational 
> states accessible from arithmetic, by universal numbers/machines “living” 
> in there.
> The quantum is explained by the digital “seen from inside”. We get the 
> qubits for the bits when seen from the bits, roughly speaking.
>
> *BTW, what's your definition of physicalism? AG *
>
> The idea that physics is the fundamental science. 
>
> With mechanism, this does not work, (I can show this), and we have to 
> explain the “illusion of a physical world” by a statistic on all machine 
> “dreams", where a dream is just a computation rich enough to support a 
> “self-aware observer” 
>

*So, with a false theory of mechanism, or digital mechanism, and arithmetic 
which you admit can't create space (and probably time as well), you claim 
to derive a self-aware observer? AG*
 

> (which can be defined in arithmetic by a consistent machine having enough 
> rich cognitive abilities (precisely: believing in enough induction axioms, 
> if you have heard about theories like Peano arithmetic, or Zermelo-Fraenkel 
> set theory, those are typical examples of such digital (immaterial) machine.
>

*Yes, I am aware of those axioms, and, as I have written, Peano's axioms 
imply arithmetic, but not IMO, of other worlds. AG *

>
> With mechanism, physics is reduced to computer science or to arithmetic, 
> in the same sense that for most educated people today think that biology 
> can be reduced to physics, in principle of course. 
>
> My first older result is simply that mechanism (the idea that we could 
> survive with a digital brain/body) is incompatible with weak-materialism or 
> with physicalism (the idea that there is a physical universe having a 
> fundamental ontology, not reducible to any other science).
>
> Bruno
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> like in the Washington-Moscoow thought experiment, the person is unable to 
>> predict his immediate particular personal future feeling, despite being 
>> certain (assuming Mechanism and all default hyoptheses) that it will be 
>> either like feeling to be in Moscow or like feeling to be in Washington, 
>> then you understand that mechanism entails the existence of a personal, 
>> subjective (first person) indeterminacy.
>>
>> Then you will need to understand that the elementary arithmetical truth 
>> implement all computations (including all quantum computations, notably), 
>> in the original sense of Turing, Church, Kleene (cf the 1930s papers), 
>> which makes us, in any “here and now” indexical state, indeterminate on 
>> which computations continue us, making eventually the physical science as a 
>> statistics on all (relative) computations, among an infinity (which are 
>> indeed realised in that elementary part of arithmetic).
>>
>>
>>
>>
>> On of the things I seriously dislike about MW, which makes it utterly 
>> REPELLENT (Steven Weinberg's word), is that there are too many damned 
>> worlds! For example, when one considers the worlds created when putting on 
>> left or right shoe first, this just scratches the surface of how many 
>> worlds are created -- not just two worlds, but uncountably many (if space 
>> is continuous) when one considers how many distinct worlds are created just 
>> for the case of the left shoe first. I am referring to the uncountably many 
>> ways to put on one's left shoe first. For me, this is hardly an ELEGANT 
>> Cosmos, but rather a downright SILLY one! AG
>>
>>
>> When you decide to put the left shoes, in bot “quantum Mechanism” à-la 
>> Everett, or in arithmetic, only the consistent extensions must be taken 
>> into account, and if you decide to put the left shoe, you will put in all 
>> continuation that left shoe. Both the quantum and the purely Mechanist 
>> frame does not make everything happening, only the consistent (with you 
>> local belief) extension will occur, in the vast majority of extensions.
>>
>> Bruno
>>
>>
>>
>>
>>
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