Hi Brian,
On 13 Sep 2012, at 22:04, Brian Tenneson wrote:
Bruno,
You use B as a predicate symbol for "belief" I think.
I use for the modal unspecified box, in some context (in place of the more common "[]").
Then I use it mainly for the box corresponding to Gödel's beweisbar (provability) arithmetical predicate (definable with the symbols E, A, &, ->, ~, s, 0 and parentheses.
Thanks to the fact that Bp -> p is not a theorem, it can plays the role of believability for the ideally correct machines.
What are some properties of B and is there a predicate for knowing/being aware of that might lead to a definition for self-awareness?
Yes, B and its variants:
B_1 p == Bp & p
B_2 p = Bp & Dt
B_3 p = Bp & Dt & t,
and others.
btw, what is a machine and what types of machines are there?
With comp we bet that we are, at some level, digital machine. The theory is one studied by logicians (Post, Church, Turing, etc.).
Is there a generic description for a structure (in the math logic sense) to have a belief or to be aware; something like
A |= "I am the structure A"
?
Yes, by using the Dx = xx method, you can define a machine having its integral 3p plan available.
But the 1p-self, given by Bp & p, does not admit any name. It is the difference between "I have two legs" and "I have a pain in a leg, even if a phantom one". G* proves them equivalent (for correct machines), but G cannot identify them, and they obeys different logic (G and S4Grz).
Finally, on a different note, if there is a structure for which all structures can be 1-1 injected into it, does that in itself imply a sort of ultimate structure perhaps what Max Tegmark views as the level IV multiverse?
A 1-1 map is too cheap for that, and the set structure is a too much structural flattening.
Comp used the simulation, notion, at a non specifiable level substitution.
Bruno
http://iridia.ulb.ac.be/~marchal/
-- Onward! Stephen http://webpages.charter.net/stephenk1/Outlaw/Outlaw.html
On 9/14/2012 4:20 AM, Bruno Marchal wrote:
Hi Brian,
On 13 Sep 2012, at 22:04, Brian Tenneson wrote:
Bruno,
You use B as a predicate symbol for "belief" I think.
I use for the modal unspecified box, in some context (in place of the more common "[]").
Then I use it mainly for the box corresponding to Gödel's beweisbar (provability) arithmetical predicate (definable with the symbols E, A, &, ->, ~, s, 0 and parentheses.
Thanks to the fact that Bp -> p is not a theorem, it can plays the role of believability for the ideally correct machines.
What are some properties of B and is there a predicate for knowing/being aware of that might lead to a definition for self-awareness?
Yes, B and its variants:
B_1 p == Bp & p
B_2 p = Bp & Dt
B_3 p = Bp & Dt & t,
and others.
btw, what is a machine and what types of machines are there?
With comp we bet that we are, at some level, digital machine. The theory is one studied by logicians (Post, Church, Turing, etc.).
Dear Bruno,
Could you elaborate on what your definition of "a digital machine" is?
Is it something that can be faithfully represented by a Boolean Algebra of some sort?
Is there a generic description for a structure (in the math logic sense) to have a belief or to be aware; something like
A |= "I am the structure A"
?
Yes, by using the Dx = xx method, you can define a machine having its integral 3p plan available.
This "3p plan" would be like my internal model of my body that I have as part of my conscious awareness?
But the 1p-self, given by Bp & p, does not admit any name. It is the difference between "I have two legs" and "I have a pain in a leg, even if a phantom one". G* proves them equivalent (for correct machines), but G cannot identify them, and they obeys different logic (G and S4Grz).
This implies, to me, that the 1p-self cannot be defined by an equivalence class with a fixed equivalence relation. This is problematic if assumed to be true for all possible 1p-selfs. AFAIK, your definition would only apply to an machine that is unnameable infinite such as the totality of all that could exist, aka "God" or "cosmic intelligence". It reminds me more of the Azathoth of H.P. Lovecraft's mythos.
Finally, on a different note, if there is a structure for which all structures can be 1-1 injected into it, does that in itself imply a sort of ultimate structure perhaps what Max Tegmark views as the level IV multiverse?
A 1-1 map is too cheap for that, and the set structure is a too much structural flattening.
I agree, it is just a tautology.
Comp used the simulation, notion, at a non specifiable level substitution.
But does not address the computational resource requirement. :_(
On 14 Sep 2012, at 15:41, Stephen P. King wrote:
On 9/14/2012 4:20 AM, Bruno Marchal wrote:
Hi Brian,
On 13 Sep 2012, at 22:04, Brian Tenneson wrote:
Bruno,
You use B as a predicate symbol for "belief" I think.
I use for the modal unspecified box, in some context (in place of the more common "[]").
Then I use it mainly for the box corresponding to Gödel's beweisbar (provability) arithmetical predicate (definable with the symbols E, A, &, ->, ~, s, 0 and parentheses.
Thanks to the fact that Bp -> p is not a theorem, it can plays the role of believability for the ideally correct machines.
What are some properties of B and is there a predicate for knowing/being aware of that might lead to a definition for self-awareness?
Yes, B and its variants:
B_1 p == Bp & p
B_2 p = Bp & Dt
B_3 p = Bp & Dt & t,
and others.
btw, what is a machine and what types of machines are there?
With comp we bet that we are, at some level, digital machine. The theory is one studied by logicians (Post, Church, Turing, etc.).
Dear Bruno,
Could you elaborate on what your definition of "a digital machine" is?
Anything Turing emulable.
Is it something that can be faithfully represented by a Boolean Algebra of some sort?
Anything can be represented by Boolean algebra of some sort, even the quantum logic, despite not being embeddable in Boolean logic.
Is there a generic description for a structure (in the math logic sense) to have a belief or to be aware; something like
A |= "I am the structure A"
?
Yes, by using the Dx = xx method, you can define a machine having its integral 3p plan available.
This "3p plan" would be like my internal model of my body that I have as part of my conscious awareness?
Yes, you can say that.
But the 1p-self, given by Bp & p, does not admit any name. It is the difference between "I have two legs" and "I have a pain in a leg, even if a phantom one". G* proves them equivalent (for correct machines), but G cannot identify them, and they obeys different logic (G and S4Grz).
This implies, to me, that the 1p-self cannot be defined by an equivalence class with a fixed equivalence relation. This is problematic if assumed to be true for all possible 1p-selfs. AFAIK, your definition would only apply to an machine that is unnameable infinite such as the totality of all that could exist, aka "God" or "cosmic intelligence". It reminds me more of the Azathoth of H.P. Lovecraft's mythos.
Proof?
Finally, on a different note, if there is a structure for which all structures can be 1-1 injected into it, does that in itself imply a sort of ultimate structure perhaps what Max Tegmark views as the level IV multiverse?
A 1-1 map is too cheap for that, and the set structure is a too much structural flattening.
I agree, it is just a tautology.
Comp used the simulation, notion, at a non specifiable level substitution.
But does not address the computational resource requirement. :_(
It does not solve it, but it address it, like it address all of physics. I give the tools so that you can ask your question directly to the machine.
Bruno

On Sat, Sep 15, 2012 at 02:55:17AM -0400, Stephen P. King wrote:Dear Bruno, Could you elaborate on what your definition of "a digital machine" is?Anything Turing emulable.Dear Bruno, OK. But you do understand that this assumes an unnecessary restrictive definition of computation. I define computation as "any transformation of information" and Information is defined as "the difference between a pair that makes a difference to a third".
That is far too inclusive a definition of computation.
A map from i in N to the ith decimal place of Chaitin's number Omega would satisfy you definition of transformation of information, yet the posession of such an "algorithm" would render oneself omniscient.
You can answer any question posable in a formal language by means of running this algorithm for the correct decimal place. See Li and Vitanyi, page 218 for a discussion, or the reference they give: Bennett & Gardiner, (1979) Scientific American, 241, 20-34.
On 9/15/2012 4:11 AM, Russell Standish wrote:
Hi Russell,On Sat, Sep 15, 2012 at 02:55:17AM -0400, Stephen P. King wrote:Dear Bruno, Could you elaborate on what your definition of "a digital machine" is?Anything Turing emulable.Dear Bruno, OK. But you do understand that this assumes an unnecessary restrictive definition of computation. I define computation as "any transformation of information" and Information is defined as "the difference between a pair that makes a difference to a third".
That is far too inclusive a definition of computation.
Not really, it only requires some way of representing the information such that it can be transformed. The integers are not the only kind of number that we can represent numbers (or any other mathematical object) with. IMHO, we are naive to think that Nature is hobbled to only use integers to perform her Computations. We must never project our deficiencies on Nature.
A map from i in N to the ith decimal place of Chaitin's number Omega would satisfy you definition of transformation of information, yet the posession of such an "algorithm" would render oneself omniscient.
That is exactly my point! I am forcing the issue of the implication of Universal Turing Machines, they are implicitly omniscient unless they are restricted in some way. Turing et al, considered the case of computations via NxN -> N functions but abstracted away the resource requirements and we get very smart people, like Bruno, taking this as to means that we can completely ignore the possibility of actually implementing a computation and not jsut reasoning about some abstract object in our minds. The Ultrafinitists and Intuitionist (like Normal Wildberger for instance) have a valid critique but forget that they too are fallible and project their limitations on Nature. I am trying very hard to to do that!
You can answer any question posable in a formal language by means of running this algorithm for the correct decimal place. See Li and Vitanyi, page 218 for a discussion, or the reference they give: Bennett & Gardiner, (1979) Scientific American, 241, 20-34.
Sure, but you are missing the point that I am trying to make. Unless there is at least the possibility in principle for a given computation to be implemented somehow, even if it is in the form of some pattern of chalk marks on a board or pattern of neurons firing in a brain, there is no "reality" to a abstraction such as a Universal Turing Machine. I am arguing against Immaterialism (and Materialism!) of any kind and for a dual aspect monism (like that which David Chalmers discusses and argues for in his book).
-- Onward! Stephen http://webpages.charter.net/stephenk1/Outlaw/Outlaw.html
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----- Receiving the following content -----From: Evgenii RudnyiReceiver: everything-list
Time: 2012-09-17, 14:27:02
Subject: Re: questions on machines, belief, awareness, and knowledge
>> what Alva No� writes in Out of Our Heads: Why You Are Not Your
>> Brain, and Other Lessons from the Biology of Consciousness.
>>
>> One question in this respect. Let me start with a quote from Max
>> Velmans, Understanding Consciousness
>>
>> Section Can qualia be reduced to the exercise of sensory-motor
>> skills?
>>
>> p. 102 揚iloting a 747 no doubt feels like something to a human
>> pilot, and the way that it feels is likely to have something to do
>> with human biology. But why should it feel the same way to an
>> electronic autopilot that replaces the skills exercised by a human
>> being? Or why should it feel like anything to be the control system
>> of a guided missile system? Anyone versed in the construction of
>> electronic control systems knows that if one builds a system in the
>> right way, it will function just as it is intended to do, whether
>> it feels like anything to be that system or not. If so, functioning
>> in an electronic (or any other) system is logically tangential to
>> whether it is like anything to be that system, leaving the hard
>> problem of why it happens to feel a certain way in humans
>> untouched.�
>>
>> Do you mean that the meaning in a guided missile system happens as
>> by-product of its development by engineers?
>>
>> To me, it seems that meaning that you have defined in Mars Rovers
>> is yet another theory of epiphenomenalism.
>
> And your quote and question are yet another example of "nothing
> buttery" and argument by incredulity.
>
> Brent
>
I am not sure if I understand you. I am not saying that I am right but I
really do not understand you point. You say
"Consciousness and computation are given their meaning by their
effecting actions in the world."
and it seems that you imply that this could be applied for a robot as
well. My thought were that engineers who have design a robot know
everything how it is working. You comment suggests however that in the
robot there is something else that has emerged independently from the
will of engineers. I would be just interested to learn what it is. If
you know the answer, I would appreciate it.
Evgenii
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On 22.09.2012 14:58 Bruno Marchal said the following:
On 21 Sep 2012, at 21:27, Evgenii Rudnyi wrote:
On 19.09.2012 00:57 meekerdb said the following:
On 9/17/2012 11:27 AM, Evgenii Rudnyi wrote:
Do you mean that the meaning in a guided missile system
happens as by-product of its development by engineers?
To me, it seems that meaning that you have defined in Mars
Rovers is yet another theory of epiphenomenalism.
And your quote and question are yet another example of
"nothing buttery" and argument by incredulity.
Brent
I am not sure if I understand you. I am not saying that I am
right but I really do not understand you point. You say
"Consciousness and computation are given their meaning by
their effecting actions in the world."
and it seems that you imply that this could be applied for a
robot as well. My thought were that engineers who have design a
robot know everything how it is working.
But they don't a robot, even one as simple as a Mars Rover
perceives and acts on things the engineers don't know.� A more
advanced robot will also learn from experience and become as
unpredictable as a person from the engineer's standpoint.
Okay, let us take more advanced robots. I guess that
Dario Floreano and Claudio Mattiussi, Bio-Inspired Artificial
Intelligence: Theories, Methods, and Technologies
should be perfect here. You will find in the book about learning in
�behavioral systems. Yet, the authors do not use the term
�AI-research and the so called �hard-problems�, and the application
of elaborate experience in knowledge-management, for the design and
�development of a �strong-AI engine�.�
If consciousness happens here, then we could at least find that it
was planned this way.
It is part of what a machine is that we cannot know what we are doing
in building them, so human might as well build a conscious machine
without knowing it; except later, when the machine complains or fight
for its right. Comp is rather negative on the idea of programming
consciousness. We can only let consciousness manifest itself, or not.
Or we can copy intelligent machine, partially or completely.
Then, I am afraid, comp is of no help to the AI community as it seems cannot guide engineers on how to develop an intelligent robot.
Evgenii
----- Receiving the following content -----From: Evgenii RudnyiReceiver: everything-list
Time: 2012-09-22, 09:29:57
Subject: Re: questions on machines, belief, awareness, and knowledge
>> Conclusion, p. 585 : 揂 careful reader have noticed that we have
>> not yet defined what intelligence is. This was done on purpose
>> because intelligence has different meanings for different persons
>> and in different situations. For example, some believe that
>> intelligence is the ability to be creative; other think that it is
>> the ability to make predictions; and others believe that
>> intelligence exists only in the eye of the observer. In this book
>> we have shown that biological and artificial intelligence manifests
>> itself though multiple processes and mechanisms that interact at
>> different spatial and temporal scales to produce emergent and
>> functional behavior. The most important implication of the
>> approaches presented here is that understanding and engineering
>> intelligence does not reduce to replicating a mammalian brain in a
>> computer but requires also capturing multiply types and levels of
>> interactions, such as those between brains and bodies, individual
>> and societies, learning and behavior, evolution and development,
>> self-protection and self-repair, to mention a few�.
>>
>> Hence, again let us imagine that a robot with artificial neural
>> networks developed as described in the book can learn something
>> indeed. In the book there are even examples in this respect. Yet,
>> the engineers developing it have not even thought about
>> consciousness. Hence, in my view, if consciousness happens to be in
>> such a robot, then we could talk without a problem about
>> epiphenomenalism. Why not?
>>
>> I have seen a project where engineers at least talk about a module
>> QUALIA
>>
>> http://www.mindconstruct.com/
>>
>> 揗IND|CONSTRUCT is developing a 憇trong-AI engine�, a so called
>> AI-mind, that can be used in (human-like) robotics, healthcare,
>> aerospace sciences and every other area where 慶onscious�
>> man-machine interaction is of any importance.
>>
>> The MIND|CONSTRUCT organization is the culmination of many years in
>> AI-research and the so called 慼ard-problems�, and the application
>> of elaborate experience in knowledge-management, for the design and
>> development of a 憇trong-AI engine�.�
>>
>> If consciousness happens here, then we could at least find that it
>> was planned this way.
>
> It is part of what a machine is that we cannot know what we are doing
> in building them, so human might as well build a conscious machine
> without knowing it; except later, when the machine complains or fight
> for its right. Comp is rather negative on the idea of programming
> consciousness. We can only let consciousness manifest itself, or not.
> Or we can copy intelligent machine, partially or completely.
Then, I am afraid, comp is of no help to the AI community as it seems
cannot guide engineers on how to develop an intelligent robot.
Evgenii
> Bruno
>
>
>
>>
>> Evgenii -- http://blog.rudnyi.ru/2011/03/intelligence.html
>>
>> http://blog.rudnyi.ru/2012/05/mindconstruct.html
>>
>> -- You received this message because you are subscribed to the
>> Google Groups "Everything List" group. To post to this group, send
>> email to everyth...@googlegroups.com. To unsubscribe from this
>> group, send email to everything-list+unsub...@googlegroups.com.
>> For more options, visit this group at
>> http://groups.google.com/group/everything-list?hl=en.
>>
>
> http://iridia.ulb.ac.be/~marchal/
>
>
>
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Hi Brian,I use for the modal unspecified box, in some context (in place of the more common "[]").
On 13 Sep 2012, at 22:04, Brian Tenneson wrote:
Bruno,
You use B as a predicate symbol for "belief" I think.
Then I use it mainly for the box corresponding to Gödel's beweisbar (provability) arithmetical predicate (definable with the symbols E, A, &, ->, ~, s, 0 and parentheses.
Thanks to the fact that Bp -> p is not a theorem, it can plays the role of believability for the ideally correct machines.
Yes, B and its variants:
What are some properties of B and is there a predicate for knowing/being aware of that might lead to a definition for self-awareness?
B_1 p == Bp & p
B_2 p = Bp & Dt
B_3 p = Bp & Dt & t,
and others.
With comp we bet that we are, at some level, digital machine. The theory is one studied by logicians (Post, Church, Turing, etc.).
btw, what is a machine and what types of machines are there?
Yes, by using the Dx = xx method, you can define a machine having its integral 3p plan available. But the 1p-self, given by Bp & p, does not admit any name. It is the difference between "I have two legs" and "I have a pain in a leg, even if a phantom one". G* proves them equivalent (for correct machines), but G cannot identify them, and they obeys different logic (G and S4Grz).
Is there a generic description for a structure (in the math logic sense) to have a belief or to be aware; something like
A |= "I am the structure A"
?
A 1-1 map is too cheap for that, and the set structure is a too much structural flattening. Comp used the simulation, notion, at a non specifiable level substitution.
Finally, on a different note, if there is a structure for which all structures can be 1-1 injected into it, does that in itself imply a sort of ultimate structure perhaps what Max Tegmark views as the level IV multiverse?
Hi BrunoOn Fri, Sep 14, 2012 at 1:20 AM, Bruno Marchal <mar...@ulb.ac.be> wrote:Hi Brian,I use for the modal unspecified box, in some context (in place of the more common "[]").
On 13 Sep 2012, at 22:04, Brian Tenneson wrote:
Bruno,
You use B as a predicate symbol for "belief" I think.
Then I use it mainly for the box corresponding to Gödel's beweisbar (provability) arithmetical predicate (definable with the symbols E, A, &, ->, ~, s, 0 and parentheses.
Thanks to the fact that Bp -> p is not a theorem, it can plays the role of believability for the ideally correct machines.
How come Bp->p is not a theorem?
Yes, B and its variants:
What are some properties of B and is there a predicate for knowing/being aware of that might lead to a definition for self-awareness?
B_1 p == Bp & p
B_2 p = Bp & Dt
B_3 p = Bp & Dt & t,
and others.D? B_1? B_2? B_3?
With comp we bet that we are, at some level, digital machine. The theory is one studied by logicians (Post, Church, Turing, etc.).
btw, what is a machine and what types of machines are there?
I am also curious as to the definition of a digital machine.
Yes, by using the Dx = xx method, you can define a machine having its integral 3p plan available. But the 1p-self, given by Bp & p, does not admit any name. It is the difference between "I have two legs" and "I have a pain in a leg, even if a phantom one". G* proves them equivalent (for correct machines), but G cannot identify them, and they obeys different logic (G and S4Grz).
Is there a generic description for a structure (in the math logic sense) to have a belief or to be aware; something like
A |= "I am the structure A"
?
DX = xx?
This structure I have in mind having the property that all structures can be injected into it has more structure than a set structure. See, I have revised my thoughts and put them into a fairly short document. You helped me a year or two ago to show me some flaws with my thoughts in a document. I could send it to you.A 1-1 map is too cheap for that, and the set structure is a too much structural flattening. Comp used the simulation, notion, at a non specifiable level substitution.
Finally, on a different note, if there is a structure for which all structures can be 1-1 injected into it, does that in itself imply a sort of ultimate structure perhaps what Max Tegmark views as the level IV multiverse?
From: everyth...@googlegroups.com [mailto:everything- > li...@googlegroups.com] On Behalf Of Roger Clough > Sent: Tuesday, September 25, 2012 5:26 AM > To: everything-list > Subject: Can a computer make independent choices ? > > Hi Stephen P. King > > I don't deny that a computer can optimize itself, > but I deny that the operation is autonomous, > meaning independent, for ultimately it is software > dependent, using a program written by an outsider. > True intelligence and true consciousness must be > to whatever extent possible independent of outside > help or perspective.
--Simple prejudice explains that...
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Comp implies the same physics for all universal machines. Physics is really a collection of theorems in elementary arithmetic, or of true but unprovable (by fixed machine) arithmetical sentences (but this will concerned more sensible matter than intelligible matter). This helps to separate the quanta and the qualia. If the mass of the electron is not derivable from arithmetic, it will mean that it is geographical, and that we can access to physical realities where electron will have other mass.
verifying most discourses made about them by mystics and open minded rationalists Indian, Chinese and Greeks. You can take a look at my "Plotinus" paper for more on this.
Like the neoplatonists, comp leads to a form of platonist pythagoreanism.
My main point is not a defense of that idea, but that such theory (mainly comp + classical theory of knowledge) is empirically testable.
It is hard to imagine a more testable theory, as the whole of physics is derivable from arithmetic in a precise way. Only local geographies and local histories are not derivable, not even by a god.
Do you consider different geographies to include different places with different particles or different dimensions of space time, or do you think comp implies a single physics for all observers. One like that of our standard model?
Thanks to S4Grz1, Z1* and X1*, we know already that physics does not collapse into classical logic. In such a case, physics would have been shown trivial, and all "phsyical laws" would be local, or geographical.
On Wed, Sep 26, 2012 at 3:33 AM, Bruno Marchal <mar...@ulb.ac.be> wrote:
More on this when I have more time. Someday I will give you the enunciation of Solovay theorem, which is the key here.Thank you. I look forward to this.
Comp implies the same physics for all universal machines. Physics is really a collection of theorems in elementary arithmetic, or of true but unprovable (by fixed machine) arithmetical sentences (but this will concerned more sensible matter than intelligible matter). This helps to separate the quanta and the qualia. If the mass of the electron is not derivable from arithmetic, it will mean that it is geographical, and that we can access to physical realities where electron will have other mass.
verifying most discourses made about them by mystics and open minded rationalists Indian, Chinese and Greeks. You can take a look at my "Plotinus" paper for more on this.
Like the neoplatonists, comp leads to a form of platonist pythagoreanism.
My main point is not a defense of that idea, but that such theory (mainly comp + classical theory of knowledge) is empirically testable.
It is hard to imagine a more testable theory, as the whole of physics is derivable from arithmetic in a precise way. Only local geographies and local histories are not derivable, not even by a god.
Do you consider different geographies to include different places with different particles or different dimensions of space time, or do you think comp implies a single physics for all observers. One like that of our standard model?
So does comp provide any hints as to which aspects of our local universe should be universal and which are geographical?
Thanks to S4Grz1, Z1* and X1*, we know already that physics does not collapse into classical logic. In such a case, physics would have been shown trivial, and all "phsyical laws" would be local, or geographical.It was not 100% clear to me what you meant. Did you mean that we already know all physical laws are local/geographical,
or that we already know that all physical laws are not local/geographical?
I have understood Brent in such a way that when engineers develop
a robot they must just care about functionality to achieve and
they can ignore consciousness at all. Whether it appears in the
robot or not, it is not a business of engineers. Do you agree
with such a statement or not?
In my defense, I only said that the engineers could develop
artificial intelligences without considering consciousnees. I didn't
say they *must* do so, and in fact I think they are ethically bound
to consider it. John McCarthy has already written on this years ago.
And it has nothing to do with whether supervenience or comp is true.
In either case an intelligent robot is likely to be a conscious being
and ethical considerations arise.
Dear Bruno and Brent,
Frankly speaking I do not quite understand you answers. When I try to convert your thoughts to some guidelines for engineers developing robots, I get only something like as follows.
1) When you make your design, do not care about consciousness, just implement functions required.