On 02 Nov 2015, at 18:36, John Clark wrote:

On Mon, Nov 2, 2015 at 3:15 AM, Bruno Marchal <[email protected]> wrote:

​>> ​​2+2=5 is a numerical relationship as is 2+2=4, the only way to segregate the​ numerical​ relationships that express a truth from the many that don't is to make a calculation, and the only way anybody has ever​ made a calculation​ in the entire history of the world is by using matter that obeys the laws of physics.

​> ​Then you reject the excluded middle principle.

​No. If sentence X says "2+2=5" then sentence X expresses a numerical relationship, that association may or may not belong to the category "true" but it's certainly a relationship. The problem isn't that true mathematical relationships don't exist it's that false ones do too,

In physics and the everyday life too, but why should we take into account false proposition into account?




and the only way anybody has ever been able to separate true statements from false statements is by using matter that obeys the laws of physics.

The whole point of realism is that the truth is independent of the fact that we verify them. If not, you could say anything, both in physics and in arithmetic.

In G we have [](p & q) <-> ([]p & []q), but we don't have [](p v q) <- >([]p v []q). Indeed, we have [](<>t v ~<>t) trivially, but we don't have []<>t v []~<>t.




And that is my explanation for why INTEL makes microprocessors out of silicon and not out of definitions and theorems;

INTEL use silicon because he wants that the object or people supported by its computation can manifest itself relatively to our most probable computations in arithmetic.


Bruno, you have no coherent explanation for that fact.

That is why this is part of the hard problem of consciousness, and my goal was to show exactly this. That is far from being enough to refute computationalism and its consequence, as the alternate theories do not exist or are fairy tales. Then, the math part shows indeed that the logic of the observable obeys a non trivial quantum logic, which shows that the normality of silicon/or-similar, and its local necessity to have physical stable computations, might still be a consequence of computationalism, as it should indeed.

Comp predicted the many-computations, which arguably are confirmed by the fact that physicist came up with the idea independently of the computationalist reasoning, then the math confirms the quantum mathematical structure, and the symmetries of physics at the bottom, and perhaps the linearity of evolution. From the symmetries, and Noether-like theorem, we might get enough to have the unicity of the standard model (like recent works in quantum logic suggest). Anyway, I do not defend the truth of computationalism, I just point on the difficulties, that you seem to begin to comprehend.

Bruno


​

​ John K Clark​





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http://iridia.ulb.ac.be/~marchal/



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