On 15 Jul 2017, at 14:20, David Nyman wrote:

On 15 July 2017 at 09:26, Bruno Marchal <[email protected]> wrote:

On 15 Jul 2017, at 06:19, Brent Meeker wrote:



On 7/14/2017 7:22 PM, Bruce Kellett wrote:
I think Brent has commented that consciousness needs a world to be conscious of -- that doesn't, of itself, constrain that world in any way. Even more so if the consciousness is a product of evolution in that world. Evolution cannot produce anything that contradicts the laws of physics.

One way to see that consciousness and physics are not tightly constrained is to note that our consciousness seems adapted to living on a flat Earth in which Newtonian mechanics prevails. The "laws of physics", as we've presently congratulated ourselves on inventing, are so far from intuitive that there are endless arguments over how to interpret them.

John Clark misses this by stopping at UDA step 3 (not included), and Bruce seems to stop at step 4 (not included).

​Which particular 'this' do you have in mind here? The interpretation of the "laws of physics"?​


By "this" I meant that consciousness and physics are tightly constrained. Consciousness, including the observable (Physics) is made into a branch of machine arithmetical self-reference.






We, the universal machines, are distributed in an infinity of (arithmetical) computations below our substitution level on which our First Person experience is undetermined, and the laws to predict the observable must be given by a statistic on all computations, or it needs to invoke some metaphysical entity, be it Matter or God, doing a magical (non Turing emulable nor FPI recoverable) selection. That entails a "many computations" view of reality, and the quantum logical aspect of Nature is intuitively explained already.

Now, why negative amplitude of probability?

Not sure I follow. ​Negative amplitude of probability​ ​is found in harmonical functions​, ​isn't it​?

Negative amplitude appears in all wave theory, but only in quantum mechanics do they have an interpretation in term of amplitude of probability. The whole "mystery" of quantum mechanics is there.

I was alluding to the rather normal critics asserting that, a priori, in the UDA, or in classical probability theory, the probabilities on the next computational continuations are purely additive. There is no clue why the probabilities could be attached to some which undulate.

But that critics makes a mistake. The probabilities are not on the 3p computations, but on the 1p experiences brought by those computations. So, to have the logic obeyed by those probabilities, we have to use a precise mathematical definition of "first person". This one is "offered" by the incompleteness theorem which makes sense of Theaetetus definition (in three different ways, giving three physical realms). Those notions of first person makes the antic dream argument valid, explains entirely consciousness (if we agree to characterize it by the "non rationally justifiable yet undoubtable truth), associates an intuitionist subject to the knower, and, the main thing here, a quantum logic (and thus plausible negative amplitude of probability) for the observable.






This remains counter-intuitive, but is explained by the fact that the statistic are not on the 3p representational bodies in arithmetic, but on the 1p views, which necessitate to be defined by machine-self-reference. In that case, the non intuitive matter features are recovered by the nonintuitive logic of self-reference and its 1p variants, and indeed, we get a quantum logic which makes us expect a unique measure. It obeys, up to now at least, everything needed to have those negative probability amplitudes, as required.​ ​It is true that we can implement consciousness in a classical machine (assuming the substitution level enough high) but from its first person perspective, that machine will still experience the indeterminacy probabilities on all "classical and non classical" implementations in arithmetic.

People are stuck on the brain-mind identity brain link, which is not available when we assume Mechanism. The first person is always associated with an infinity of implementations. We have to take into account the 1p/3p distinction. If a machine discovers that it run in a classical physical setting, the machine we interrogate will act like she knows that she belongs to a simulation or that computationalism is false.

I understand that this is shocking, but normally, in this list, people should be used to it, because they accept Everett and the "everything" idea which should help them to be prepared for that admittedly unpleasant self-differentiation/self-multiplication. That is why I explain mechanism here, as people know already the work of Everett, and from a physicists standpoint, Mechanism generalizes its embedding of the subject's body in subject's matter of the theory, something already begun in arithmetic by Gödel, Kleene, Post, etc.

​Not only that, at first blush it looks as if it reverses entirely the explanatory priority from mechanism-->mind to mind-->mechanism. But perhaps in fact it creates a symmetry between the two modes of explanation.

To get the full symmetry, I think we need to accept the idea that all "virgin" universal machine are "maximally conscious". In that case, the "cosmic consciousness" (as some call it) is the consciousness of the universal person (attached to the universal machine) and the arithmetical truth (which can be limited to the sigma_1 arithmetical truth when we interview the computationalist universal machine).



What I mean is that if we were to simply accept mechanism on its own terms, without extrapolating to mind, then we would have an 'explanation' entirely in itself, or rather a machine that proceeds of itself without further need of explanation.

But Mechanism is defined with the notion of consciousness. It is the belief that "I" remain conscious through a digital brain transplant.






For example, if we conceive physics as such a mechanism, the physical machine proceeds from state to state without the need of invoking mind, or for that matter worlds, creatures, biological evolution, or all the other mentalistic paraphernalia. On the other hand, should we be 'minded' to accept mind on its own terms, we are at once at a loss for a mechanism for the phenomena that undoubtedly appear within its observational spectra. As a slogan, we might assert that (from an explanatory perspective) mechanism has no need for a mind, but mind is in dire need of a mechanism. This, if you like, supplies a rationale for why we look for such a mechanism and feel justified in deploying observational self-selection as the filter on the generalised mechanistic base. Having done so, we find ourselves left with the explanatory or implicative symmetry mind<-- >mechanism.

OK. You were using "mechanism" in the pure 3p sense (not in the Digital Mechanism theological act of faith of a candidate for classical teleportation). In that case, we need only arithmetic and Church's thesis. With Church's thesis, it is a theorem already of Peano Arithmetic that all computations are executed by the arithmetical reality. But to associate consciousness and 1p experience (and not just the 3p account of those experiences) we need the theological assumption, and then we get the mean to explain the illusion of physical laws and why they can last for "long period".

The mechanism for mind is the conjunction of the representational beliefs (well captured by the beweisbar box) and the semantics or truth, not capturable at all by the machine (except at the metalevel by doing the explicit mechanist hypothesis). This explains the sound feeling that consciousness is not explainable in any 3p way (which is correct), yet lived by the machine (if defined or characterized by undoubtable and non "scientifically" communicable). The machine can explain why they have to be at lost when relating their consciousness and any 3p account of it: that simply does not exist. But the price is high, because to solve the mind body problem with this explanation of the mind, the entire physics must be a theorem of (meta)arithmetic, as I hope one of S4Grz1, X1* and Z1* will show (and seem to promise to show).

Bruno




David


Bruno







Brent

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