Re: Some thoughts from Grandma

2007-07-03 Thread Bruno Marchal


Le 02-juil.-07, à 18:12, David Nyman a écrit :


 After very kindly concurring with bits of my recent posts, Bruno
 nonetheless quite reasonably questioned whether I followed his way of
 proceeding.  Having read the UDA carefully, I would say that in a
 'grandmotherly' way I do, although not remotely at his technical
 level.


Concerning the Universal Dovetailer Argument (UDA) a subtle 
prerequisite is Church Thesis, if only to understand the relation with 
arithmetical realism and also to understand the term Universal in the 
UD. Coming back from Siena I am not sure Church thesis is well 
understood today.
BTW I have discovered that the book edited by Martin Davis The 
undecidable has been republished in 2004 by Dover. This is really the 
comp basic bible. It contains the readable original paper by Godel, 
Church, Kleene, Rosser, and, above all the incredible anticipation by 
Post. Actually Post did even anticipate my thesis, that is the 
platonistic reversal physics/number-computer-science. To be sure he 
adds a footnote (footnote 118) saying he changed his mind ... I think I 
will write a paper just on that footnote 




 But I had been doing thought experiments of a somewhat similar
 nature literally for decades, based on questions like why am I me and
 not you? or how do I know that me now is the same as me 5 minutes
 ago? or is the person who gets out of the transporter the same
 person as the one who began the journey?  For some time, faced
 largely with incomprehension or disinterest, and seeing hardly
 anything remotely like this referred to in print, I despaired of
 finding others who believed these questions were anything but
 irrelevant or crazy.  But gradually these topics seemed to emerge into
 discussion from a variety of directions, and now I've found a
 community of similarly crazy people on the Internet.


Actually those typical comp or mechanist thought experiences 
(reasonings) exist since humans use tools. Reference are in the biblios 
of conscience et mécanisme. Many Sc. fiction book go through such 
experience, and the book Mind's I (ed. by Hofstadter and Dennett) 
contains relevant thought (but miss my favorite sc. fi. book, the 
SIMULACRON III by Daniel Galouye).
Mind'I eyes missed the first person comp indeterminacy and the 
subsequent reversal.




 The conclusion I had come to is broadly summarised in my recent
 posts.  It seemed to me that the 'transporter' questions could only be
 resolved if I thought in terms of my being incorporated in some unique
 or 'global' pre-differentiated manner, which nonetheless
 multifariously self-localised by differentiation of structures that
 embodied distinct 'histories'.


I would say that, once we accept comp, the only problem which remains 
is the white rabbit problem, that is: the problem of isolating from 
computer science the measure on the relative computational histories 
capable of justifying the apparent normality of the observable laws.



 This seemed somehow to entail the
 emergence of finitude from the not-finite, which seemed weirdly
 right.


? (comp presupposes the natural numbers. Indeed they constitute the 
absolutely unsolvable mysteries).



 Anyway, it would be the histories that differed, not the
 'self'.


This could depend on choice of vocabulary. If you define the self by 
what is consistent, or better sound, and invariant in all comp 
histories, you will get the arithmetical hypostases.




  The histories would break the symmetry of the self into
 differentiated sub-selves that would be 'I' with respect to their own
 private environments.


Hopefully. That is what is under the course of verification. Again, 
accepting the positive integers makes such symmetry breaking easy to 
understand. The real mystery (partially solved though) is in the 
understanding of the physical initial apparent symmetry.



 These environments, being participatory, could
 only be shared with other such sub-selves by signalling', and the sum
 total of shareable signals, re-embodied, would be the 'objective' or
 'outside' physical description of the situation.

Hopefully again. This would correspond to the first
  person plural notion, as far as some part of the comp indeterminacy is 
sharable (like the quantum reality seems to confirm).



 But since these
 'entities' could only be self-defined emergents of the original self-
 relativisation, everything was in fact 'outside-less' and continued to
 exist uniquely or monistically as a network of self-relation.


... itself emerging from the additive/multiplicative number relations. 
The self itself is what computer science and provability logic explains 
the better.


 Depending on whether the participatory or 'objective' perspective was
 adopted, self-relation could apparently decompose into 'sense' or
 'action' narratives, but such decomposition was in fact illusory, or
 perspective-dependent.  Self-relation in fact remained singular or
 decomposable in nature

This is fuzzy. I can 

Re: Some thoughts from Grandma

2007-07-03 Thread David Nyman
On 03/07/07, Bruno Marchal [EMAIL PROTECTED] wrote:

BM:  BTW I have discovered that the book edited by Martin Davis The
undecidable has been republished in 2004 by Dover.

DN:  I've just ordered it from Amazon.

BM:  Many Sc. fiction book go through such experience, and the book Mind's
I (ed. by Hofstadter and Dennett) contains relevant thought (but miss my
favorite sc. fi. book, the
SIMULACRON III by Daniel Galouye). Mind'I eyes missed the first person
comp indeterminacy and the subsequent reversal.

DN:  Yes, science fiction did stimulate some of my speculations, and I found
Minds's I frustrating for just the reasons you give.

 This seemed somehow to entail the
 emergence of finitude from the not-finite, which seemed weirdly
 right.

BM:  ? (comp presupposes the natural numbers. Indeed they constitute the
absolutely unsolvable mysteries).

DN:  Yes, I know.  One might say that (at least the human understanding of)
mathematics is cast as a kind of figure-ground relation between finite and
not-finite, but this is more poetical than technical, and hence need not
detain us.  You propose the natural numbers and their relations as a
necessary point of departure for comp, and show that this leads to
unexpected results.  My own thought was that analysis of the semantics of
whole and part leads to a fundamentally self-relative epistemology and
ontology, and this can also lead to unexpected results.  But this is
non-technical and largely intuitive hand-waving on my part.

 Anyway, it would be the histories that differed, not the
 'self'.

BM:  This could depend on choice of vocabulary. If you define the self by
what is consistent, or better sound, and invariant in all comp histories,
you will get the arithmetical hypostases.

DN:  Here I intended 'self' in the primary or 0-person sense.  1-person
would be attached to the histories, and hence the arithmetical hypostases
would pick out sound and invariant features of 1-personal histories.
Consciousness would then be associated with the relation of the 0-self to
such features of itself.  In a sense this equates to a sort of all-embracing
'solipsism' - but a solipsism of the All.

  The histories would break the symmetry of the self into
 differentiated sub-selves that would be 'I' with respect to their own
 private environments.

BM:  Hopefully. That is what is under the course of verification. Again,
accepting the positive integers makes such symmetry breaking easy to
understand.

DN:  Yes, this is how I understand comp with respect to the semantics of
self-relation I've been using.

 But since these
 'entities' could only be self-defined emergents of the original self-
 relativisation, everything was in fact 'outside-less' and continued to
 exist uniquely or monistically as a network of self-relation.

BM:  .. itself emerging from the additive/multiplicative number relations.
The self itself is what computer science and provability logic explains
the better.

DN:  Yes, in the comp frame the numbers and their relations would be the
basis of what I've been calling sense and action (i.e. self-relation in its
1 and 3-person aspects).

 Depending on whether the participatory or 'objective' perspective was
 adopted, self-relation could apparently decompose into 'sense' or
 'action' narratives, but such decomposition was in fact illusory, or
 perspective-dependent.  Self-relation in fact remained singular or
 decomposable in nature

BM:  This is fuzzy. I can agree but I have more than one interpretation.
It's hard not being more technical here.

DN:  I'm sorry, I missed out a 'non'!  I should have said self-relation in
fact remained non-decomposable.  By 'non-decomposable' I mean that the
terms 'sense' and 'action' should be understood as observer effects in a
self-relative frame. So epistemologically they are decomposable, but
ontologically they aren't.  To avoid further confusion, I see that in the
comp frame 'self-relation' can indeed be 'decomposed' into different numbers
and their relations, but that these are not further decomposable.  I would
have no problem with this.

 Consequently, if
 physics is held to be fundamental to consciousness, and consciousness
 is an observer effect, then such observers must be fully describable
 by physical relationships, not functional ones, and the appropriate
 substitution level is physical duplication, to some level of
 tolerance.

BM:  OK, but this is explicitly what cannot be done in the comp frame. A
good thing given that physical can hardly be defined by the product
of observation.

DN:  Yes.  I'm sorry if it wasn't absolutely clear that my point in this
section of the argument was precisely to give a reductio of the materialist
position on functionalism or computationalism.  So of course I'm claiming
that it can't be done.  I assume then that you agree with my line of
argument?

 By contrast, if the reality of parts and relationships is to be
 considered fundamentally numerical,

BM:  The main first half of my work 

Re: Asifism revisited.

2007-07-03 Thread meekerdb

Torgny Tholerus wrote:
 Imagine that we have a second Universe, that looks exactly the same as 
 the materialistic parts of our Universe.  We may call this second 
 Universe B-Universe.  (Our Universe is A-Universe.)

 This B-Universe looks exactly the same as A-Universe.  Where there is a 
 hydrogen atom in A-Universe, there will also be a hydrogen atom in 
 B-Universe, and everywhere that there is an oxygen atom in A-Universe, 
 there will be an oxygen atom i B-universe.  The only difference between 
 A-Universe and B-Universe is that B-Universe is totally free from 
 consciousness, feelings, minds, souls, and all that kind of stuff.  The 
 only things that exist in B-Universe are atoms reacting with eachother.  
 All objects in B-Universe behave in exactly the same way as the objects 
 in A-Universe.

 The objects in B-Universe produces the same kind of sounds as we produce 
 in A-Universe, and the objects in B-Universe pushes the same buttons on 
 their computers as we do in our A-Universe.

 Questions:

 Is B-Universe possible?
 If we interview an object in B-Universe, what will that object answer, 
 if we ask it: Are you conscious??

   
So far as I know, consciousness is some processes in (at least some) 
human brains.  Since B-universe would have brains with the same 
processes, I'd say those objects would answer, Yes. with the same 
likelihood as in this universe - in other words I don't think there's 
any difference between the A-universe and the B-universe.

Brent Meeker

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Re: Asifism revisited.

2007-07-03 Thread Stathis Papaioannou

On 04/07/07, David Nyman [EMAIL PROTECTED] wrote:

 TT:  This B-Universe looks exactly the same as A-Universe.

 DN:  IMO your thought experiment might as well stop right here.  No universe
 can look like anything to anyone except a participant in it - i.e. an
 'observer' who is an embedded sub-structure of that universe. The looking
 that you refer to here is an illusory artefact of syntax - i.e. the relation
 is to an imaginative construct which in fact is part of A-Universe.  IOW
 this sort of 'existence' is a metaphor which is relative to *us*, not the
 self-relation of any realisable B-Universe.  What you describe as B-Universe
 looking exactly the same is really an implicit relation to an observer in
 *that* universe, and consequently that observer is already accepted as
 conscious.  Alternatively, it doesn't look like anything to anyone, and
 hence is by no stretch of the imagination exactly the same.

We can imagine an external observer looking at two model universes A
and B side by side, interviewing their occupants.



-- 
Stathis Papaioannou

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