On Tuesday, March 31, 2015, Bruno Marchal <[email protected]> wrote:

>
> On 30 Mar 2015, at 10:06, LizR wrote:
>
> On 30 March 2015 at 19:26, Stathis Papaioannou <[email protected]
> <javascript:_e(%7B%7D,'cvml','[email protected]');>> wrote:
>
>> Fading qualia in the setting of normal behaviour, if logically
>> possible, would destroy the common idea of consciousness that we have.
>> It would mean, for example, that you could have gone blind last week
>> but not realise it. You would look at a painting, describe the
>> painting, have an emotional response to the painting - but lack any
>> visual experience of the painting. If that is possible, what meaning
>> is left to attribute to the word "qualia"?
>>
>> Well, it would mean that comp is false, because the electronic
> replacements are not generating any conscious experience despite having
> their I/O matched to the rest of the brain.
>
>
>
> Yes, there would be p-zombies. Behaving like conscious person, but without
> any private knowledge, qualia, sensation or consciousness.
>

And there would also be the possibility of partial p-zombies, which would
mean that private knowledge, qualia, sensation and consciousness make no
subjective difference, or equivalently that they don't exist.

> That would mean there is something else involved, something that isn't
> generated by computation.
>
>
>
> That would entail that indeed.
>
> But computationalism is not claiming that there is not something else
> involved, indeed the "true" relations, as in the difference between []p & p
> and []p. This relates the machine to a non nameable first person knower.
>
> I think Brent intuit this. He use the term "our world" for that, and this
> is the "<>t" added to the []p to get a "physical world" (before "comp"
> which will be the restriction of the sigma_1 sentences). It is an indexical
> conception of world: this reality (in which I believe).
>
> Consciousness and computation are not related to the static
> representations but in their true relations.
>
> The sigma_1 relations, and only them, verifies p <-> []p, the logic avoids
> collapse, because <>p is not sigma_1.
> So, those sigma_1 relation collapse truth and representations, at that
> level, but self-reference and measurement complexifies the logic.
>
> Truth extends computability, in fact provability extends computability, in
> the constructive or not, transfinite. But Truth extends properly all
> machines' provabilities,  or the locally effective sets of belief, as the
> machine can discover when introspecting itself (in the Gödel, Post, Kleene
> manner).
>
> I might need to explain to you the difference, that you might know well,
> but still discard from the theory, between the truth that 2 + 2 = 4, and a
> proof of this, for example provided by some proving machine.
>
> Then you need to understand the working of a computer, or of any universal
> (Turing) system, and understand how they all can implement each others.
> Given that elementary arithmetic is such a system, a computation can be
> defined by relations between numbers.
>
> At the sigma_1 (or sigma_0) level truth fuse with provability, but when
> machine looks at themselves the complexity crops well above the sigma_1
> level, and the relations between p and []p get, well, more complicated
> (that is why we get 8 hypostases).
>
> Consistency (<>t) is Pi_1 and is the typical truth about the machine that
> the machine cannot justified about herself: but she can discover the fact
> as she can justified <>t -> ~[]<>t, and actually missing []<>t.  With the
> Plato lexicon this gives all Protagorean virtue including intelligence (by
> the definition I gave).
>
> The protagorean virtue are those which leads to the contrary when (self,
> or not!) asserted: they are the proposition or state attribute obeying []x
> -> ~x. Like moral, happiness, conscience, intelligence, love, security, and
> also the unnameable attributes.
>
> Smullyan's "Forever Undecidable" is a good introduction to the logic of
> self-reference. By a famous succession of theorems, a simple couple of
> modal logic, G and G*, sums it all at the 3p propositional level. And that
> is enough to define the variants []p & p in G (in the machine language
> term, or arithmetic).
>
> When the universal machine introspects, she already get contradictory
> intuition about reality and herself. But she can overcome them, in
> different ways and modes.
>
> Bruno
>
>
>
>
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> http://iridia.ulb.ac.be/~marchal/
>
>
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-- 
Stathis Papaioannou

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