On 24 Oct 2015, at 07:32, John Clark wrote:

On Mon, Oct 19, 2015 at 7:42 AM, Bruno Marchal <[email protected]> wrote:

In arithmetic all emulation of programs exists,

​That is totally unimportant, ​It's not worth arguing about because it wouldn't change anything even if it were true. But I'll tell you the REALLY important question, is physics a emulation of arithmetic or is arithmetic a emulation of physics?


Physics is what is observable. The "computable physical certainty" is described by the intensional variant of Gödel's self-referential prdicate, []p, that is mainly []p & <>t, (with or without & p)has morivated by the First person indterminacy, on the UD*, that is, on the Sigma_1 sentences.

Physics is a mode of self-perception. It is the mode []p & p, []p & <>t, or []p & <>t & p, and the last one are graded through box and diamond, and quantization (the "[]<>#") iterations.

Ypu don't need to believe in any of this. Just understand a bit of the intuition, then study how this is translated in arithmetic.



​>​>>​ ​There is word for "100% accurate simulation", we call that an emulation. The models of RA emulates all computations.

​>>​​Don't tell me this wonderful news tell INTEL, their stock price will skyrocket! And I own some INTEL stock.

​> ​You have repeated this straw man argument a lot,

​Straw man my ass, if what you say was true the universe would be RADICALLY different from the world we observe, the world where people have to pay money for INTEL silicon microchips.

You need to prove this, and that would actually refute computationalism. But when we do the math, this fails, as a rrefutation of computationalism, as the "probabiility one" needs to bey the self-reference bet given above, and they do the quantization needed for having a good measure. We do get the projections and its orthoalgebra, and we can work toward some Gleason theorem.

Advantage? The logic splits on truth/justifiable, justifying indirectly yhe non-jutfifiable, and explaining the difference between, the different views: first person, first person plural, third person, etc.






​> ​You do bad theology, like some fundamentalist. you invent a God Wow, calling a guy known for disliking religion religious, never heard that one before, at least I never heard it before I was 12.

​> ​ Like I said, you are a fundamentlist Aristotelians.

​And like I said, Aristotle was the worst physicist who ever lived. ​


He was the first scientist. he could have been wrong on everything, he was clear enough to be refuted and by this way he provided the path on the progresses which follows.


And then my point is that his theology is refuted by all Universal machine looking inward enough.




​​>> ​It will be 100% crap unless the Algol or FORTRAN program is running on a computer made of matter that obeys the laws of physics. ​

​> ​False. Physics has no relevance at all here.​ ​What I said is true in both the case where the Algol interpreter or compiler run​ [...]​

​Run? RUN! Without physics nothing is running, your FORTRAN or Algol program is just static squiggles on a paper doing absolutely nothing. ​


Using a non standard, but common, sense of running. The notion of computation I use is the original given by Church, Kleene, Post, Turing, etc. Running is defined by a purely arithmetical relation involving a universal number and some universal or not numbers.

I do not assume a primary physical universe, I agree that such a physical universe is apparent, but that is explained by the existence of some measure on the computations when seen from inside: the observable is an indexical.

As an argument, you beg the question. You are just using the favorite dogma of the Catholics: primary matter; which to my knowledge has been technically used only on the question about the relationship between wine and the blood of christ. But yes, it is a common extrapolation by humans, and part of the current paradigm in both physics and many theologies.

I show it to be inconsistent with Descartes' idea that our body are mechanism.

Most people believe in both mechanism and materialism, but that does not work together.





​>​>>​ This does not make possible to extract the computations result directly, as we live in a physical reality, and must implement the computations in the physical reality to get that effect.

​​>> ​Why on earth would that be?? If the emulation is perfect and physical reality is of only of secondary importance and is being emulated by mathematics then we live in mathematical reality too. So why can't we extract the results of computations directly?

​> ​Because that would be magical.

​Indeed it would be but don't blame me for that, you're the one who said calculations don't need physics not me. ​

Everyone in that vast field would say the same. Just read the original papers leading to that field.
Or any textbook.

In the math part, I use only the axioms of RA, for what I need to assume, and I interview PA, executed by RA.

It was a PhD in theoretical computer science. It exploits known relationship between computability and (sigma_1) provability.






​> ​and should be able to make arbitrarily large calculations instantly.

​> ​Yes, comp predicted that this is possible,

​I don't care what "comp" predicts because "comp" is one colossal bore.

You are a believer in comp, even a practicer of comp.

Stop playing with words, because that confuse people for nothing.

You only don't believe that comp entails what I say. But you have not find a critics of the reasoning, as all you argument confuse at some point the first person description and the third person description. You have lost that debate.You just conveniently stop at the early step of the reasoning, without having succeeded to convey any reason why to anybody, as any body can see where you make the confusion, and many have patiently try to make you, not seeing it, but admitting it.

There is no evidence for primary matter, and with comp, it is a theorem that a complex web of all computations exists in arithmetic, and that it get self-structure from inside by self-referential correctness.

And it provides an arithmetical interpretation of the five affirmative hypotheses of Parmenides, the five hypostases of Moderatus of Gades (neopythagorean) and of Plotinus (neoplatonisme).

You like to say that Aristotle was wrong in physics, but you full stream resist the doubting of its metaphysics.


Bruno








  John K Clark


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