On 26 June 2014 03:49, Bruno Marchal <[email protected]> wrote:

>
> On 29 May 2014, at 00:17, LizR wrote:
>
> On 28 May 2014 19:46, meekerdb <[email protected]> wrote:
>
>>  On 5/28/2014 12:35 AM, LizR wrote:
>>
>>  On 28 May 2014 16:20, meekerdb <[email protected]> wrote:
>>
>>> I think the more crucial step is arguing that computation (and therefore
>>> consciousness) can exist without physics.  That physical instantiation is
>>> dispensable.
>>>
>>
>>  Yes indeed. I would say that for comp to be meaningful, it's necessary
>> to show that information is a real (and fundamental) thing, rather than
>> something that only has relevance / meaning to us - I suppose deriving the
>> entropy of a black hole, the Beckenstein bound and the holographic
>> principle all hint that this is the case. (Maybe QM unitarity and the black
>> hole information paradox too?)
>>
>> I'm not sure how secure a footing any of these items put the "reification
>> of information" it on, though.
>>
>> As Bruno has noted, we live on border between order and chaos - neither
>> maximum nor minimum information/entropy but something like "complexity".
>> Here's recent survey of ways to quantify it by Scott Aaronso, Sean Carroll
>> and Lauren Ouellette. http://www.scottaaronson.com/blog/?p=1818
>>
>
> As usual I don't have time to read that paper, at least not immediately.
> However I see that defining complexity appear to require coarse graining.
> If so, I would take this to mean that there isn't anything fundamental
> being defined - or at least that we're in a grey area where nothing is
> known to be fundamental. On the other hand, entropy used to require coarse
> graining but as I mentioned above has now been defined for black holes, so
> assuming BHs really exist (and the things we think are BHs aren't some
> other type of massive object of an undefined nature) that would at least
> suggest that fundamental physics involves entropy, and hence information.
>
> Is there any complexity measure that doesn;t involve CG and hence isn't
> just (imho) "in the eye of the beholder" ?
>
>
> Computer science provides a lot of definition for complexity, below the
> computable, like SPACE or TIME needed, related to tractability issues and
> above the computable, like the degree of unsolvability shown to exists by
> using machine + oracles (for example).
>
> Those notion are typically not in the eye of the beholder, as they are the
> same for all universal numbers. Computer scientist says that they are
> machine-independent notion. They remain invariant for the change of the
> base of the phi_i.
>
> With comp, what i showed is that we have indeed to extract the law of the
> qubits ("quantum logic") from the laws of the bits (the laws of Boole, +
> Boolos). IMO, Everett + decoherence already shows the road qubits to bits.
> But comp provides a double (by G/G*) reverse of that road, which separates
> quanta and qualia (normally, although quanta must be a first person plural).
>
> It sounds to me as though you are saying that information is real if
arithmetic is real...?

(If so, deriving the entropy of a black hole would be support for comp :-)

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