> On 27 Sep 2019, at 11:23, Alan Grayson <[email protected]> wrote:
> 
> 
> 
> On Wednesday, September 25, 2019 at 5:47:10 AM UTC-6, Bruno Marchal wrote:
> 
>> On 24 Sep 2019, at 17:03, Alan Grayson <[email protected] <javascript:>> 
>> 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, 
> …).
> 
> Listen; you can't compute, even approximately, a real number you have no way 
> of defining.

No problem with this. I cannot compute a non computable real. OK.




> In fact, the act of defining it, would be tantamount to computing it!

Hmm… OK (with a large sense of tantamount). 

But what I can still do, is generating it, even if I will generate many other 
real numbers, and be unable to recognise where is the one which is 
uncomputable. 





> So this is all nonsense.

You confuse generating the decimal of a real number, and just that one 
(computable real number), and generating a real number, among many one. That 
are different procedures.





> But let's suppose the monkey at the keyboard produces a text defining the 
> axioms of QM, along with a multitude of other theories. Without a physical 
> universe to test these theories, there's no way to determine which one is 
> "true”.

With mechanism, no universe, nor god, could do that. But the relative state of 
the machine have just the math showing that the physical reality will look like 
a quantum multiverse, so no need to add a universe when actually, it cannot do 
the work we would expect it to do, without violating Mechanism.





> Frankly, I don't see what's been discovered by "computability". AG 

A precise mathematical notion of universality.

Bruno





> 
> 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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