> On 25 Apr 2019, at 18:47, 'Cosmin Visan' via Everything List 
> <[email protected]> wrote:
> 
> 
> 
> On Thursday, 25 April 2019 18:21:33 UTC+3, Bruno Marchal wrote:
> 
> You forget the quote. I am not sure what is not self-reference, given that I 
> have given two definitions (third person self-reference and first person 
> self-reference, and I have explained the link between (G* proves that they 
> are equivalent, but that the machine cannot see this, making the first person 
> rather mysterious, yet necessarily so).
> 
> There is only 1 definition: the referring-back-at-itself that the Self does 
> from its own internal first-person perspective.

That is captured by the modal nuance “[]p & p”, with “[]” being Gödel’s 
probability predicate, and p being an arithmetical sentences. Unlike the logic 
of “[]”, it obeys to the logic S4, which is the logic of knowledge. It makes 
also the first person “I” non definable by the machine, yet easy to use, as I 
will illustrate with some thought experience, when I have a bit more time.

The key is that []p & p is equivalent to []p, but the equivalence is not 
accessible by the machine, so that despite all modes of self-reference refer 
really to the same truth, it obeys many different logic and mathematics. The 
first person obeys to intutionistit logic, and the first person-plural, as well 
as quanta and qualia obeys quantum logics.




> Everything else is just words-play. 

You should not say negative things, when it is clear you have not study 
alternate theories. 



> 
> 
> No. It is after 30 years of work, and it has been defended as a PhD thesis in 
> mathematics/computer science in 1998.
> 
> What does your number theory has to do for example with color red ?


The colour red is the first person quality accessible to a number when the 
number is in relation to some number relations (like those describing by the 
frequencies of some Electro-Magnetic  wave) in a certain type of computations. 
The explanation is not different from yours, except that consciousness is 
explained, and not assumed. Of course I can only sum up here. I have provide 
longer explanation, but you can find them in my papers. 

Bruno


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