Others,

I thanks John Clark for giving me the opportunity to sum up the basics.

Of course anyone can ask for a precision.

I train my pedagogy.

Grayson, don’t hesitate to read my sum up here:

http://iridia.ulb.ac.be/~marchal/publications/SANE2004MARCHALAbstract.html

Download the slides, and read the argument in 8 steps. 

I mean, it seems you want to understand, OK?

I am a teacher. I am aware that when people want to not understand, they can be 
quite gifted in the task. 





> On 30 May 2018, at 15:26, John Clark <[email protected]> wrote:
> 
> 
> 
> On Wed, May 30, 2018 at 5:46 AM, Bruno Marchal <[email protected] 
> <mailto:[email protected]>> wrote:
> 
> ​> ​Just try to refute step 3 without eliminating the distinction between 
> first and third person view,
>  
> Just try explaining what unique thing the personal pronoun “you” refers to in 
> a world that contains first person view duplicating machines. Until you do 
> that step 3 isn't even wrong, its gibberish and only a fool keeps reading a 
> proof after gibberish is found.


It means exactly the same as the one used informally by Everett in his short 
and long texts. 

The 1p-you is defined by the sequence of memories personally accessible, like 
the personal diary taken by the candidate for some duplication, or the person 
in the superposition state seeing a dead cat + seeing a cat alive. In both 
case, after the result of the experience, the 1p-you have multiplied (in the 3p 
“reality”) and each assess a precise sharp results of the measurement (like 
“Washington”, or “cat alive”, etc.).

I remind you that your argument that in the two situations the doppelgängers 
have different chance to meet, is not relevant, or just add in the thought 
experience that someone has build a an unbridgeable wall between Washington and 
Moscow.

The 1p-you are associated to series of machine states, and it is the sequence 
of memorised measurements, or local input readings building your personal 
history. The 1p-you is always unique from the 1p-you point of view. After a 10 
times iterated duplication, each resulting persons surviving that experience, 
among 2^10, have a unique precise personal history given by a precise sequence, 
like say 100000100111011. As the 1p-you is defined by that sequences.

The 3p-you is given by your body, up to some local representation with respect 
to some universal number/machine/combinator or more general.

The only difference is that Everett does that in a universal quantum universal 
machine, the “universal” wave. I do it in arithmetic, or in any Turing 
universal machinery (phi_i)

I recall that phi_i is the sequence of partial recursive/computable function, 
that you can enumerate by enumeration all programs in any presentation of a 
programming language or computer, in the sense of Church, Post, ...

All I say is that if computationalism is true, the quantum universal 
dovetailing, the wave, the unitary rotation,  has to be justified by some 
precise intensional variant of Gödel’s arithmetical (and sigma_1 complete) 
predicate of provability/believability.

It is not a matter of choice, or you can always invoke some magic to stop the 
reasoning.

If you study a bit of math, and what is a universal machinery (the phi_i and 
w_i), you will understand that I introduce 

(4 + 4 * infinity ) nuances of “you” and “me”. 

Each one having a precise definition either in first order arithmetic, or in in 
term of such arithmetical relations.

I understand it is shocking for the strong believer in a primitively material 
universe(s), or in physicalism, as you can sum it all by it is in the head of 
the universal (church-Turing-Post-Kleene) machine.

The universal machine is not a theory of everything, it is a door to the 
unknown. It is a baby god, which can become a terrible child, also. 

Bruno




> 
> ​ ​John K Clark
> 
> 
>  
> 
> 
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