On 23 May 2015, at 11:23, Pierz wrote:

Some time ago on this list I had a fascinating exchange with Bruno that has stayed with me, fuelling some attacks of 4am philosophical insomnia - an affliction I imagine I'm not the only person on this list to suffer from! If you try to nail Bruno down on some aspects of his theory, he has a tendency to get all Sg Grz* and p[]<>p on you at a certain point, making it difficult to progress without a PhD in modal logic - despite the fact that I suspect that the ideas are fundamentally simple.

It is not difficult, but Gödel's theorem, without Church's thesis, needs some tedious work done at least one times, to get the "real" thing. Then modal logic happens to summarize the logic of (simple, but with rich introspective abilities) machine self-reference. The important idea is self-reference. Modal logic is the tool. Modal logic is to self-reference what Tensor analysis is the General Relativity.




Nevertheless in the course of the discussion, Bruno did acknowledge that his theory predicts that the laws of physics are invariant across space and time, because they are supposed to arise out of pure arithmetic (being the hypostases of the FPI bla blas). Indeed, for the dissolution of the material within the arithmetical to go through (logically), then the regularities that we call physical law cannot depend on geography, since ex hypothesi they arise from number relations which are prior to time and space.


Due to the invariance of the first person experience for all the infinitely many delays in the infinitely redundant self-representation in the UD*, or the sigma_1 reality.





Yet physics - or cosmology - seems to be headed full-steam in a different direction, towards the conclusion that physical law is indeed dependent on geography, the laws we observe being dependent upon an observer selection process. That is, we see physical laws finely honed for life, because life can only exist in those regions where the laws are conducive to life. I'm less sure about this, but I think it might still be OK for physical law to geographically determined in this sense, so long as there are no other observers in different parts of the multiverse who see different laws, but to assume such a thing seems foolish. Why should we believe that of all the possible permutations of the parameters which determined physical, there is only a single solution which permits life? There might be many different

There are many different, but below our substitution level, we must find the burred sum of all computation leading to "my" (first person) experience.

Those laws have thus a theoretical computer science origin, reflected in the mind of the "thinking universal machine", and indeed reflected by the intensional modal variant of consistency/provability (in the ideal a case e need to find the correct laws of physics).



So on the face of it, the recent measurements of the mass of the Higgs boson, which are strongly suggestive of a multiverse might be seen as empirical evidence against 'comp'.

On the contrary/ A mutitverse is the only way to diminish the white rabbits probability. As we cannot makes them disappearing, arithmetic can only multiply the "normal history" to diminish they relative appearances.

Only evidence for a collapse of the wave packet would be a problem for computationalism.






Yet there is a way - namely an extremely low substitution level. You'll recall that the substitution level is the level at which a digital substitute can be made for a brain such that the self (whatever that is) survives the substitution. This might be quite high - perhaps its sufficient to mimic neuronal interconnections in software? Or it might be very low - maybe we need to go down to the molecular level and simulate chemistry. However, it would be a big surprise I imagine for the digital survival enthusiasts if the required level was the entire multiverse! Yet that conclusion seems inescapable if the emerging multiverse cosmology (and comp) is correct.

Why would a low substitution level save the day for comp? Because, as stated before, if the physics observed by some conscious being is dependent solely on number relations (as UDA purports to prove), and number relations are pure abstractions prior to matter, space and time, then physics cannot be contingent on geography, because it is contingent on matter, space and time. So if comp is correct, and it is also correct that we live in a multiverse such that observers see different apparent laws in different parts of that structure, then the only solution (ISTM) is to make the observer large enough to encompass the geographical variation.

But the laws of physics are the same in the entire multiverse. I suppose here a theory like Dwitt-Wheeler, or just Everett Universal wave.

But the hamiltonian can varies, and some parameters which can play a role in gravitation, etc.





But such a low substitution level seems counter to most of the common sense assumptions about consciousness that are the basis for the logic of UDA seeming plausible at all.

It is used to make step 1-6 more easy, but step 7 shows that the reasoning will not depend on the choice of the level, even if that is the level of an tire physical universe (which I doubt ...). Of course, in that case the "entire physical universe" has to be Turing emulable, and will appears infinitely often in the UD, but will, for some reason, gives the right measure on all computations.
Possible. We just don't know.




It would commit us to the idea that teleportation of the 'same' consciousness from Washington to Helsinki is impossible, because we couldn't isolate the person's consciousness within any reasonable physical limits, such as their brain or body. We'd need to substitute the entirety of everything, including Helsinki and Washington themselves! But what then is the status of a teleported person, if such a thing could be achieved? If we reassemble the exact same organization of molecules such that nobody, not even the person, could tell the difference, then how has the substitution level *not* been achieved?

Perhaps the answer to the conundrum lies in the definition of physical law? Perhaps things like the cosmological constant, the masses and charges of particles and so on, which I would normally regard as aspects of the laws of physics (and which recent results suggest may not be the same in all parts of the multiverse) are not the real laws of physics. Rather it is the deeper laws which underly those geographically contingent apparent laws which are the true laws of physics, and which derive from number relations. However, that manoeuvre won't save us, because then in order for an observer to experience a certain set of apparent physical laws, I need to specify within which branch of computations (multiverse region) I am instantiating that observer. That is the same as saying that the substitution level is very, very low, because in order to duplicate an observer, I need to duplicate the entire universe-generating computational branch that they are in, not just their personal memories and so on.

Then again, maybe I should not be surprised by this substitution level, because if the wave function is the manifestation of my computational duplicates and their relative measure, then any genuine duplicate of me would be part of that quantum wave function measure, and making a copy of me in the same universe would not have that effect. Only if I could make a fungible duplicate of the universe and insert it into the deck would I be able to influence physics and make a real substitution rather than a poor copy.

This suggests to me that either comp has overlooked something about the nature of consciousness and is wrong, or that cosmology is wrong and there is only one physics everywhere, or that, even though comp is right, the artificial duplication of consciousness is impossible because consciousness is determined by its relationship with the entirety of existence, perhaps in much the same way that the wave function of an electron has to "know about" all the other electrons in existence in order to obey the exclusion principle. The whole within the part and all that jazz.

Or I missed something, not that that has ever happened before... ;)


To have our type of consciousness, we need long histories making us relatively rare, and "linear-tensorial" relations which multiply:entangled those histories. But, eventually, you might be the decider, and it can depend of who you choose to be, from the first person ways.

Comp has a tool to distinguish the physical from the geographical (and indeed, it has the same for the more genera theological, and the effective). The physical is (re)defined by the laws of the observable (which is the "bettable" making consciousness invariant).

The relative computational states have a complex perspectives from the ^person supported by those states. The different points of view of the self with itself leads to different topological and geometrical structure on those states.

The problem is that it is hard to explain those structure without a bit of theoretical computer science.

Bruno



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