PA = https://en.wikipedia.org/wiki/Peano_axioms
RA = https://en.wikipedia.org/wiki/Robinson_arithmetic

2015-11-03 21:17 GMT+01:00 John Mikes <[email protected]>:

> I read it all, did not find what PA and RA are standing for.
> Can you explain in brief?
> Thanks
> John M
>
> On Tue, Nov 3, 2015 at 4:06 AM, Bruno Marchal <[email protected]> wrote:
>
>>
>> On 02 Nov 2015, at 18:30, Brent Meeker wrote:
>>
>>
>>
>> On 11/1/2015 11:09 PM, Pierz wrote:
>>
>>
>>
>> On Sunday, November 1, 2015 at 6:25:57 PM UTC+11, Brent wrote:
>>>
>>>
>>>
>>> On 10/31/2015 11:47 PM, Pierz wrote:
>>>
>>>
>>>
>>> On Sunday, November 1, 2015 at 4:18:05 PM UTC+11, Brent wrote:
>>>>
>>>>
>>>>
>>>> On 10/31/2015 8:55 PM, Pierz wrote:
>>>>
>>>> OK, a subject title designed to provoke, but here's a thought that has
>>>> intrigued me. Computationalism (and let's not worry for the time being
>>>> about whether one buys Bruno's UDA) states that consciousness supervenes on
>>>> computation. This necesssarily implies (by Church thesis)  that the
>>>> hardware doesn't matter. This commits us to some unintuitive scenarios in
>>>> which thought is instantiated by means of carrier pigeons delivering
>>>> letters with symbols written on them, or dominoes falling or whatever. It's
>>>> assumed that such a computation must reach a certain level of complexity in
>>>> order to become conscious, though what level of complexity is not
>>>> specified. According to some views (Brent has expressed this position), it
>>>> is necessary that the computations reference a "world", though I'll admit I
>>>> don"t understand the rationale for that exactly. Important though is that
>>>> it is neither necessary that the computations are carried out in some
>>>> localised "device"/brain nor that they are carried out by "wetware".
>>>>
>>>> So my thinking is this: isn't *evolution* precisely such a
>>>> computation?
>>>>
>>>>
>>>> I take it you mean life is doing a computation which consists of
>>>> finding ways to live and reproduce.  Life on Earth is executing  THE
>>>> paradigmatic genetic algorithm.
>>>>
>>>> Exactly.
>>>
>>>> It is undoubtedly an extremely complex calculation (more so than any
>>>> human thought has ever been), and it undoubtedly "references a world".
>>>> Bruno mentions "Loebianity" in this context as well, or the capacity for
>>>> self-reference. I'm not so sure about this in relation to an evolutionary
>>>> computation. Certainly it is a highly recursive procedure with a continual
>>>> self-environment feedback loop. I don't understand Loebianity sufficiently
>>>> to say whether genes , or the gene-environment system, might possess it.
>>>> However I'm also not sure if it's required for consciousness, or merely
>>>> *self*- consciousness. I don't see that the possession of qualia
>>>> demands the possession of self-awareness, though I can also see that it is
>>>> at least conceivable that an evolutionary feedback system might possess  a
>>>> kind of self-reference.
>>>>
>>>> Anyway it seems that if we're committed to computationalism plus Church
>>>> thesis, then we have to consider the possibility that evolution may be a
>>>> conscious process - indeed the onus should be on us to say why it
>>>> *wouldn't* be conscious. Which does not mean I am suggesting some
>>>> mystical additional ingredient. Evolution would still be described
>>>> objectively in terms of random mutation plus environmental selection, but
>>>> this process may have an interior component, its own "1P".
>>>>
>>>>
>>>> Yes, I think that's right in a sense.  Life in a sense forms a
>>>> representation of the world.   If a alien scientist were told just about
>>>> the living organisms on Earth he could infer a great deal about the
>>>> inorganic aspects of the planet.   I don't know if you could say it's
>>>> self-aware, except by inclusion of ourselves.  The problem is that it may
>>>> be conscious in such a different way from humans or animals that it doesn't
>>>> really add anything to our understanding of it to say it is conscious.
>>>> I've sometimes had a similar idea about the atmosphere and weather.  Isn't
>>>> weather a kind of computation performed by the atmosphere and isn't it
>>>> aware of things in its environment like solar heating, ocean currents and
>>>> temperatures, human activities like jet liners and burning fossil fuel,...
>>>>
>>>> Yes. But then isn't an orbiting planet carrying out a computation?
>>> Isn't a river? Isn't an atom doing quantum computing? It almost becomes a
>>> matter of perspective whether any given physical process is a computation
>>> or not, e.g., if someone wanted to compute the route that water would take
>>> down a given slope, they could "compute" it analogically with actual water
>>> on an actual slope. Which, combined with computationalism, seems like the
>>> (ahem) slippery slope to panpsychism, which *I* am happy enough with,
>>> but which I suspect to be too mystical for *your* metabolism...
>>>
>>>
>>> I don't see anything mystical about saying all those physical processes
>>> are computations, i.e. they are also information processes.  Have you
>>> slipped over from computation to assuming they are conscious?
>>>
>>
>> Computationalism is precisely that assumption (that computation equates
>> to consciousness).
>>
>>
>> No, it's the assumption that some particular computation instantiates
>> consciousness.
>>
>>
>> OK.
>> Computation is a pure 3p notion.
>> Consciousness is a pure 1p notion.
>> Nothing can be more different.
>> A computation just can makes it possible for a person to manifest its
>> consciousness relatively to a universal number/environment.
>>
>>
>>
>>
>> However, usually the assumption is also that a certain level of
>> computational complexity must be reached before consciousness "kicks in".
>> If as Bruno suggests, it's "all or nothing", then it's hard to see why the
>> light should suddenly be switched on when a computation reaches some
>> magical complexity threshold.
>>
>>
>> It's my view that consciousness is realized by certain kinds of
>> computation in interaction with an environment (which we call "the physical
>> world").   It's not just a matter of complexity (the internet's plenty
>> complex) or even "integrated information" (c.f. Scott Aaronson's blog on
>> Tononi).  I don't think we know exactly what it is, but I suspect it has to
>> do with language and other representations of the world.   I think that
>> there are qualitatively different kinds of consciousness, not a continuum
>> and not all-or-nothing.
>>
>>
>> I agree, except that "all or nothing" is for the presence or absence of
>> consciousness, a bit like a point of the complex plane is, or is not, in
>> the Mandelbrot set, even if we can never be sure for a point which is very
>> near the boundary (we zoom, and still don't know after 1 billions years,
>> and have no idea how long it could take for the zoom to decide this).
>>
>>
>>
>>   Of course one can argue that the internet is conscious or the weather
>> is conscious or arithmetic is conscious -
>>
>>
>> Only if we can name the entity, but "weather" or even "arithmetic" is
>> fuzzy notion. To say that arithmetic is conscious is different than to say
>> that RA is conscious, or PA is conscious, etc.
>>
>>
>>
>>
>> but these depend adding the qualification "but not like my
>> consciousness".
>>
>>
>>
>> RA is conscious like my consciousness after salvia (say)
>> PA is conscious like you and me. Indeed, we are both PA, but
>> reconstituted in different bodies with different memories.
>>
>>
>>
>> I think this is a cheap argument.  We only know what consciousness is
>> from introspective experience; so at least until we know how to produce and
>> manipulate that we have no basis for extrapolating to other forms with
>> which we have no experience.   The kinds of consciousness I refer to are
>> ones that we do experience at different times, e.g. awareness of without
>> self-awareness.
>>
>> If it's more of a continuum then that does suggest panpsychism, though
>> what the consciousness of simple processes is like is pretty hard to
>> imagine. Panpsychism does still sound to me like a pretty big jump from the
>> materialism we know and (some of us) love. A world of conscious information
>> processes is not quite a world with soul, but perhaps also not so far from
>> it.
>>
>>
>> Now you not only project consciousness onto the world, but hope for
>> immortality.
>>
>>
>> Well, in machine's theology, the proof of the immortality of the soul by
>> Socrates is valid, but is not constructive, and its practical aspect is
>> dependent of you degree of appreciation of not knowing who you (first
>> person are).
>> Then, a priori computationalist immortality seems to be something more to
>> fear than to hope, but both computer science and salvia can be reassuring
>> by allowing possibilities of jumps between type of consciousness state (but
>> *that* is still wishful thinking, as such jump are hard to relate with some
>> type of death.
>> Once a machine is above the Gödel-Löbian treshold, it has at each instant
>> an infinite of futures, and near death or near catastrophes, it continues
>> in the closer world consistent with its memory. If the subject identifies
>> too much with its memory, the experience can be unpleasant. Some training
>> in "let it go" can help, perhaps.
>>
>> Bruno
>>
>>
>>
>>
>> Brent
>>
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>>
>> http://iridia.ulb.ac.be/~marchal/
>>
>>
>>
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