Thanks for the clarification. But for what refer to the questions i
asked, I find that my initial assumptions are broadly correct. I find
the platonism of the UDA very different from the Platonism of Plato.
despite the merits that  the hypothesis of mechanism may have to
clarify other questions.

2013/12/10, Bruno Marchal <marc...@ulb.ac.be>:
>
> On 10 Dec 2013, at 12:15, Alberto G. Corona wrote:
>
>>
>>
>>
>> 2013/12/10 Bruno Marchal <marc...@ulb.ac.be>
>>
>> On 10 Dec 2013, at 10:40, Alberto G. Corona wrote:
>>
>> It seems to me that your invocation of platonism is wrong. For Plato
>> the reality is a shadow of the perfect world of ideas, universals
>> that we can "remember" by anamnesis.
>>
>> OK.
>>
>>
>>
>>
>> But for you reality is a partial dream,
>>
>> Not at all.
>> Only physical reality. And it is not "one" dream, it is what result
>> from an infinity of dreams, by the FPI on arithmetic.
>> (FPI = first person indeterminacy, *on* the complete UD emulation in
>> arithmetic).
>>
>>
>>
>>
>> but coherent or "robust" product of the aleatory  Dovetailer Machine,
>>
>> + The FPI.
>>
>>
>>
>>
>> and sometimes we have access to that nonsense by our dreams and
>> hallucinations.
>>
>> By comp, and the FPI on all computations going through our comp
>> state (which exists theoretically, as we work in the comp theory).
>>
>>
>>
>>
>> So in fact the reality, as the the platonic realm is just the
>> opposite of the one of the UDA: it is full of structure and perfect,
>> while the UDA produces every kind of thing possible.
>>
>> Only computations. Computer science shows this to be a complex
>> mathematical structure, structured differently from the different
>> points of view of a machines, which themselves obeys the non trivial
>> laws of self-reference. It is full of structure.
>>
>> Where that structure come from?
>
> They follow from the laws of addition and multiplication and logic,
> basically from:
>
> 0 ≠ s(x)
> s(x) = s(y) -> x = y
> x+0 = x
> x+s(y) = s(x+y)
> x*0=0
> x*s(y)=(x*y)+x
>
> The TOE has no other axioms. (Only definitions).
> Note that most scientific theories admit those axioms.
>
>
>
>
>
>> I see all computatons possible coming from the UDA,
>
> You mean the UD (the universal dovetailer). UDA is for the "UD
> Argument" (UDA is only the name of a deductive argument based on the
> notion of Universal Dovetailing).
>
>
>
>> some of them with structure, some of them do not.
>
> That is ambiguous. They all have some structure. But I am OK, as some
> have internal and external (to them, relatively) random data, also.
>
>
>
>> It is isomorphic to some subset of the mathematical multiverse
>
> Too much fuzzy. It depends of your starting assumption. "multiverse"
> is usually used in the context of QM. But neither QM, nor "~QM" is
> assumed in the UD Argument.
> The UD argument is deductive (not entirely in step 8 as it is intended
> to apply on 'reality' and use Occam razor). It shows that if you
> survive with a digital brain, then you survive in the infinitely many
> arithmetical brain, and physics, to remain a stable appearance has no
> choice to "exploit" an infinite self-multiplication.
>
> UDA reduces partially the mind-body problem (my job) to a body problem
> in arithmetic.
>
> It is a problem. Not a solution of a problem (except that in the
> arithmetical translation of the UDA (AUDA), we can already interview
> the universal machine (Löbian one) on that problem, and they tell us
> that Plato seems less foolish than Aristotle.
>
>
>
>
>> or the boltzmann aleatory structures.
>
> Same remark. Keep in mind that if we accept the existence of a
> physical reality, we "meta-reason" to find the deepest laws of
> reality, and be open that physics might not be the fundamental theory.
>
>
>
>
>> Or can be emulated by UDA.
>
> Yes. Note that the UD emulation is entirely deterministic (in the 3p),
> and hopefully partially deterministic in the 1p (plural) view.
>
>
>> The only additional merit is the use of few initial assumptions.
>
> I think you miss the point. I am just saying that if comp is correct,
> then adding anything to those initial assumption is a redundant form
> of conceptual treachery.
>
>
>
>> But to emulate everithing possible with few assumptions is not a
>> merit IMHO.
>
>
> You do miss the point. With all my respect.
> The emulation is only a manner of formulating the problem precisely,
> that is, mathematically.
>
>
>
>
>
>
>> I´m not trying to be harsh.
>
> No problem. I could look like a philosopher, defending some theory.
> But that's not what I do, and did.
>
> I am a logician, and computer scientist, explaining that if you say
> "yes" to the comp doctor, then (assuming you have enough logical
> cognitive ability) to reduce the comp mind body problem into body
> problem in arithmetic.
> Then I show that we can interview universal machine having such
> cognitive ability, translating indeed the problem into a sequence of
> problems in arithmetic.
> At first sight Plotinus and the mystics are closer to the Löbian
> numbers than Aristotle. I mean in term of coherent whole.
>
>
>
>> I just want to put  my impressions in words. The platoninc world of
>> ideas is then ONE of the many possible infinite whoknows that the
>> UDA can produce.
>
> Well, it is just the sigma_1 complete part of a vastly bigger
> arithmetical reality (pi_1, sigma_24, pi_1000, etc.))
>
> It is important to keep in mind the difference between the computable
> part of the arithmetical reality, with the non computable part, and
> the non provable part, by any machines, even ZF+kappa, etc.
>
>
>
>
>
>>  The self reference, the diofantic equations etc are tentative ways
>> to stablish a limit to that exuberance, but either you postulate UDA
>> in its completeness and everithing produced from UDA exist and
>> therefore I´m right and the order is only apparent and local, like
>> in the multiverse hypothesis(that i find equaly unsatisfactory) or
>> you add additional axioms.
>
> Comp makes it possible to work entirely in arithmetic. This is a
> theorem in computer science. Even without Church thesis.
>
> You must understand that I am not trying to sell you a new theory. I
> just show that in an older "banal", seemingly innocent, but commonly
> believed or intuited theory, Milinda-Descartes "Mechanism", Church
> thesis makes it possible, and necessary (that's the point),  to reduce
> the mind-body problem into a purely arithmetical universal self-
> justification problem, which includes way to distinguishing the many
> points of view, including the physical.
>
> You can understand the conclusion, before understanding that comp
> leads to that conclusion. For this, you have to be open minded for non
> materialist, or non physicalist fundamental reality, like the
> arithmetical reality, which contains the many meta-arithmetical
> realities.
>
> I transform a problem into another, mathematical problem. Then I solve
> the propositional part of the many points of view, including the
> physical, so we can compare with 'nature'. The presence of three
> arithmetical quantizations give hope to show that the arithmetical
> winner is a quantum computer, but that's remain an open problem.
>
> The subject is difficult, and I might have been mistaken, but in
> principle, it concerns something which you should understand, not
> taken as a new theory.
>
> It is a big problem for the computationalist, but then you ask the
> machines, and they expected that!
>
> UD is a not a solution. It is a precise problem, which confronts all
> universal numbers, and many "inside" things in arithmetic.
>
> Have you read the sane04 paper, or the new one?
>
> UDA can be understood by any good willing human reasoner. I think.
> AUDA necessitates familiarity with mathematical logic and computer
> science.
>
> AUDA shows that UDA can be understood by any good willing universal
> number.
>
> But it is a problem, not a solution, although AUDA provides the
> solutions at the propositional level, in the ideal case of sound
> arithmetical machines, admitting (us) the standard theory of knowledge
> (S4).
>
> With comp we have to extend the embedding of the physicist in the
> physical reality by an embedding of the mathematician in the
> mathematical reality. But that was what Gödel made, by showing how to
> arithmetized meta-arithmetic. With comp, that embedding of the
> machines in the arithmetical reality is enough to formulate the
> problem precisely.
>
> The hard work has been done by Gödel, Löb, Grzegorczyk, Solovay, and
> Visser (and many others).
>
> Bruno
>
>
>
>>
>>
>>
>> So at the end while Plato pressuposes order the UDA pressuposes that
>> there are tree elements that produce everithing that exist, and
>> those that does not exist.
>>
>> I assume comp, and then reason. Like Plato we presuppose order
>> (indeed, brought by arithmetic: we know that the order in arithmetic
>> is *very* rich, and not completely accessible by *any* effective
>> theory).
>> Comp let us just assume no more order than there is in arithmetic,
>> at he basic ontological (assumed) level..
>>
>>
>>
>>
>>
>> Al the end there are two theories of everithing: In the beginning
>> there was order and mind
>>
>> That is exactly what you get by assuming comp. In the 'beginning'
>> you have order (the additive/multiplicative structure of the
>> numbers) and the emerging mind from it (the universal consciousness
>> that you associate to all universal numbers in arithmetic, by comp,
>> and which is differentiating through the indexical (self-
>> referential) FPI).
>>
>>
>>
>>
>>
>> or at the beginning there was some kind of primitive matter and
>> chaos. Plato theory is in the first case.
>>
>> Yes. No primitive matter, and the full rich order of the numbers (or
>> of any Turing universal system).
>>
>>
>>
>> Yours appears to be in the second.
>>
>> Not at all. There is no assumed matter, and we assume the order
>> needed to make sense of computations and Church thesis. You are
>> right that there is some chaos, but that is part of the (new) world
>> of ideas.
>>
>>
>>
>>
>>
>> What is your route from chaos to Plato?
>>
>> The One of the Parmenides (used by Plotinus) = arithmetical truth
>> (that is full order far beyond what any machine can grasped). Chaos
>> can be there, like in the prime numbers, but there is also a lot of
>> music. That chaos is there is what is new in Platonia, but Plato
>> could not be aware of Gödel.
>> The Noùs (Plato's universe of ideas) is given by the arithmetical
>> truth, made partially intelligible by the universal numbers.
>> The Soul (Plato's soul, Plotinus' universal soul) is given by the
>> conjunction/intersection of the One, and the Noùs.
>> Intelligible Matter is given by the conjunction of the Noùs and the
>> existence of a reality (self-consistency, Dt).
>> Sensible Matter is given by the conjunction of intelligible matter
>> and the One.
>>
>> More on this in the Plotinus' paper. Comp rehabilitates not just
>> Plato, but Pythagorus (thanks to Church thesis).
>>
>> Bruno
>>
>>
>> http://iridia.ulb.ac.be/~marchal/
>>
>>
>>
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>> Alberto.
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> http://iridia.ulb.ac.be/~marchal/
>
>
>
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-- 
Alberto.

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