> On 24 Sep 2019, at 17:03, Alan Grayson <[email protected]> wrote:
> 
> 
> 
> On Tuesday, September 24, 2019 at 8:52:50 AM UTC-6, Alan Grayson wrote:
> 
> 
> On Tuesday, September 24, 2019 at 8:37:23 AM UTC-6, Bruno Marchal wrote:
> 
>> On 23 Sep 2019, at 15:18, Alan Grayson <[email protected] <>> wrote:
>> 
>> 
>> 
>> On Monday, September 23, 2019 at 5:21:38 AM UTC-6, Alan Grayson wrote:
>> 
>> 
>> On Monday, September 23, 2019 at 2:44:05 AM UTC-6, Bruno Marchal wrote:
>> 
>>> On 21 Sep 2019, at 17:00, Alan Grayson <[email protected] <>> wrote:
>>> 
>>> 
>>> 
>>> On Wednesday, September 18, 2019 at 4:02:09 AM UTC-6, Alan Grayson wrote:
>>> I think he means one can replace a human brain and/or nervous system with 
>>> computer microchips and consciousness will be preserved, or perfectly 
>>> simulated so the person who says "Yes doctor", will awake from the surgery 
>>> thinking he/she's the same person, like awakening from unremarkable 
>>> surgery. >From my pov, this belief is a huge, huge stretch since we can 
>>> even define what consciousness IS. AG
>>> 
>>> Bruno; does "Yes doctor" mean that a patient accepts as fact that removing 
>>> his/her brain and/or nervous system and replacing it with microcircuits 
>>> preserving the same functions, yields a surgical result such that the 
>>> patient upon awakening seems to him or herself, and others, as the same 
>>> "person" who previously approved the surgery?
>> 
>> The patient cannot accept this as a fact. It is something he can hope only. 
>> Then, if mechanism is true, by definition he was correct, but even after the 
>> operation, he cannot claim that as a fact, despite its personal impression. 
>> He might have lose a faculty and not be aware of it, like people can become 
>> blind and be unaware of the change, in some special brain disease 
>> (anosognosia).
>> 
>> 
>> 
>>> Is this the essence of mechanism?  If not, please elaborate. TIA, AG
>> 
>> 
>> Yes, it is mechanism, but it requires an act of faith.
>> 
>> Now, to be sure, taking a plane, or even a bike, requires some faith too, 
>> but here, that play an important role in the sequel, and so that nuance has 
>> to be taken into account.
>> 
>> Rational machine have a surrational corona extending what they can justify. 
>> That corona has a precise mathematical structure, and is used to derive the 
>> laws of physics from arithmetic. 
>> 
>> Bruno
>> 
>> Can you name one law you have established or proved using your theory? AG 
> 
> I have written a theorem prover generating the propositional physical laws.
> 
>  It predicts many laws including the very existence of non trivial physical 
> laws, and the quantum nature of the observable. It predicts general 
> statements, like the bottom of the physical reality is highly symmetrical 
> (and plausibly necessarily reversible).
> 
> Then it predicts the qualia and consciousness, at a place where physics is 
> either wrong or dismiss its existence and makes it into an illusion.
> 
> Keep in mind that Mechanism is not an hypothesis in physics, but in cognitive 
> science. This predicted the possibility of AI (the reason what I have mocked 
> 40 years ago).
> 
> I am not so much proposing a new theory than showing that all physicalist 
> theory of everything are wrong if we assume Mechanism (like Descartes, 
> Darwin, and many others more or less explicitly).
> 
> 
> 
> 
>> 
>> Calculating everything, even if that were possible,
> 
> The possibility of this is a theorem in arithmetic + Church’s thesis.
> 
> 
> 
> 
> 
>> doesn't mean you know anything!
> 
> 
> We agree on that. You know the main axiom from which I derive everything is 
> named “the Modesty axiom” by Rohit Parikh and Raymond Smullyan.
> 
> Not only I don’t know everything, but I know-for-sure only my consciousness, 
> and only god knows if I know more than that. But I have theories/beliefs, and 
> I show how to test them.
> 
> 
> 
>> How would you know our universe uses inverse square for gravity (to a good 
>> approximation) and not inverses of higher order?
> 
> That kind of thing is explained by many theorems in mathematics already. A 
> beautiful illustration is given in the following very nice video which 
> computes the sum of the inverse of saure numbers 1 + 1/4 + 1/9 + 1/16 + 1/25 
> + … using (and explaining) the inverse square laws.
> 
> https://www.youtube.com/watch?v=d-o3eB9sfls 
> <https://www.youtube.com/watch?v=d-o3eB9sfls>
> 
> I can’t use this with Mechanism though, because we have not yet extracted any 
> notion of physical space (although I do have ideas how to get them, but the 
> math get very complex. A recent progress has been made as it is related to 
> possible deep relation between the theory of brads and knots and very large 
> cardinal in set theory (the cardinal of Laver).
> 
> 
> 
> 
> 
> 
>> Also, since no computer can calculate a single irrational number,
> 
> That is false. A computer can calculate PI, e, sqrt(2), sqrt(3), sqrt(5) 
> etc.. all irrational.
> 
> No. A computer cannot calculate any irrational exactly.

Nor could a human.



> It can only approximate them, such as PI. AG 
> 
> With PI, you at least have a series representation and can approximate it to 
> any degree desirable,

OK. And that is how we define what is a computable real number. We can compute 
the approximations. Actually we need also to be able to compute a modulus of 
convergence, to assure that addition of the computable real numbers is a 
computable operation. Turing get this wrong in his paper, but corrected this in 
a footnote in most re-publication of his paper.




> but with most of the others you don't even know how to represent them 
> mathematically and thus haven't a prayer for calculating them. AG 

Yes, in classical logic/theories, most real numbers are not computable. Note 
that in intuitionistic mathematics, Brouwer has introduce the axioms that all 
real numbers are computable, but as I use classical logic, that does not 
concern us. Yet that play a role in the logic of the subject ([]p & p, S4Grz, 
…).

Bruno




> 
> 
> 
>> they can only calculate to a measure zero (the rationals) of what exists; 
>> not to mention the finite time constraint for any of these calculations. AG 
> 
> If you study my papers, you will see that the physical laws are not 
> computable: they emerge from the first person indeterminacy (step 3) and the 
> delay invariance (step 2 and 4). The universal machine is partially 
> computable only, which means that she is partially not computable, also, and 
> that plays a key role, for both consciousness and matter.
> 
> Bruno
> 
> 
> 
> 
> 
>> 
>> 
>> 
>> 
>>>  
>>> 
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