On Monday, February 24, 2020 at 9:06:45 PM UTC-7, Alan Grayson wrote:
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>
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> 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 <agrays...@gmail.com> 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 <agrays...@gmail.com> 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 <agrays...@gmail.com> 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 *
>

*Test of memory; is Zermelo-Fraenkel set theory just Peano's Axioms (PA) 
plus the Axiom of Choice? TIA, 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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