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Stathis Papaioannou
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Stathis Papaioannou
> I don't understand how we can change the judicial system if we don't have free will. All we can do is exist and watch to see whether we end up being compelled to change it or not by forces outside of our control.
On Thu, Jun 14, 2012 at 6:55 AM, John Mikes <jam...@gmail.com> wrote:
> Stathis, semantics is a fundamental principle as long as we 'talk in wordly
> terms'. Did you get a letter from God Almighty confirming that there is
> nothing more FOR DECISIONMAKING than your brain and your ------------- > environment? Sorry to denigrate a term within your profession, but we -----
> know close to nothing about mentality, thinking in topical terms, even ------> THAT DARN 'decisionmaking'.
> It may not be strictly deterministic, we MAY have SOME choice (all these
> words from the 'pseudo' domain) but how impressive those (so far unknowable)
> domains(?) or factors do influence "our brain(?)" has not been known as of yesterday.
>
> (I am still hung up on your use of the number of people you are:
> "...if my actions are determined by my brain and my environment..."
> who is the 'you' discussing with 'your brain'? Are you compatible with you?
> but that is an old hat).
Other than brain and environment, what else is there?
As for choice and determinism: I do exactly what I want to do, and if
I wanted do something else, I would do that. I consider that choice,
whether my behaviour is determined or random. In fact, I don't see
what "choice" could possibly mean if not this.
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Stathis Papaioannou
Dear Stathislet me try to explain myself in a less "1st p. vocabulary". As I explained I carry an 'agnostic' worldview, because over the past millennia the information what humanity gathered about "the world" increased steadily and we have so far no indication of having reached omniscience. So I believe you when asking out loud: "what ELSE is there?" and I have no answer of course. 2 trivial e.g.,-s:# Before Volta there was no hint to 'electrical' (whatever that is) phenomena but after his observation a branch of developing physics speaks a lot of such. #The Flat Earth was also a notion (even the Bible speaks about "the 4 corners" of it) and newer information developed a different cosmology over the past centuries.And so on, why not getting new information in mentality questions as well? or factors (even so far unknown 'domains') that may influence whatever we do know/think/choose?And may I throw back your term: the "choice" you ask about is a PSEUDO - choice, not choosing from ANYTHING (haphazardly), but within the given possibilities (potentials) - in the unlimited complexity of which currently we know only a portion. More we know than yesterday or 1000 - 10,000 years ago, but believably less than we may learn hereafter. (I.e. in my agnosticism).(And you left untouched my question about W H O is discussing with YOUR brain - and how?)
On 6/15/2012 8:43 AM, Bruno Marchal wrote:
On 14 Jun 2012, at 18:21, John Clark wrote:
On Mon, Jun 4, 2012 Craig Weinberg <whats...@gmail.com> wrote:
> I don't understand how we can change the judicial system if we don't have free will. All we can do is exist and watch to see whether we end up being compelled to change it or not by forces outside of our control.
And so it goes, one group screams cries and jumps up and down insisting that we do have free will and another group is just as insistent that we do not. But neither group can stop yelling for one second to ask what "free will" is supposed to mean. I humbly suggest that we first decide what "free will" is, and only then would it be fruitful to debate the question of whether people have this interesting property or not; until then it's just a tale told by an idiot full of sound and fury signifying nothing.
OK. Perhaps we should always make at least precise if we talk about compatibilist free will (c-free-will) or non comptatibilist free will (nc-free-will). People defending nc-free-will should say so.
In comp, c-free-will is rather easy to define, and even a variety of ways, and computer science theorem justifies a role, and plausibly a "darwinian selectable role" for some of the possible definitions.
About nc-free-will, I have not any idea (yet?) about what it could mean. I tend to agree with John on this.
It seems pretty clear. It's an ability to make decisions in a spirit realm and have them implemented in the physical realm.
That entails that physics is not closed, i.e. some physical events happen for a purpose but without an antecedent physical cause.
This not meaningless because with sufficient experimental resolution it could be tested.
If we could follow in detail the workings of a subject's brain and we found that there were physically uncaused events that led to actions and decisions and these events almost always contributed to the realization of express plans, values, and desires of the subject then we would have say that was evidence for nc-free-will.
Brent
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On 15 Jun 2012, at 18:17, meekerdb wrote:
On 6/15/2012 8:43 AM, Bruno Marchal wrote:
On 14 Jun 2012, at 18:21, John Clark wrote:
On Mon, Jun 4, 2012 Craig Weinberg <whats...@gmail.com> wrote:
> I don't understand how we can change the judicial system if we don't have free will. All we can do is exist and watch to see whether we end up being compelled to change it or not by forces outside of our control.
And so it goes, one group screams cries and jumps up and down insisting that we do have free will and another group is just as insistent that we do not. But neither group can stop yelling for one second to ask what "free will" is supposed to mean. I humbly suggest that we first decide what "free will" is, and only then would it be fruitful to debate the question of whether people have this interesting property or not; until then it's just a tale told by an idiot full of sound and fury signifying nothing.
OK. Perhaps we should always make at least precise if we talk about compatibilist free will (c-free-will) or non comptatibilist free will (nc-free-will). People defending nc-free-will should say so.
In comp, c-free-will is rather easy to define, and even a variety of ways, and computer science theorem justifies a role, and plausibly a "darwinian selectable role" for some of the possible definitions.
About nc-free-will, I have not any idea (yet?) about what it could mean. I tend to agree with John on this.
It seems pretty clear. It's an ability to make decisions in a spirit realm and have them implemented in the physical realm.
OK. In the spirit realm I get an headache, and decide to take an aspirin.
That entails that physics is not closed, i.e. some physical events happen for a purpose but without an antecedent physical cause.
How can you know that. It is like invoking the spirit each time we were wrong on a level of complexity.I think I see what you try to conceive, though. Nice try.
This not meaningless because with sufficient experimental resolution it could be tested.
How? Machines cannot know their level of substitution. Spirits might be arithmetical cyber pirates.
If we could follow in detail the workings of a subject's brain and we found that there were physically uncaused events that led to actions and decisions and these events almost always contributed to the realization of express plans, values, and desires of the subject then we would have say that was evidence for nc-free-will.
I see your point, so you are right, in some sense. It is a bit far stretched in the comp setting, but it makes sense. But at the meta-level you need now to provide a theory of those spirits, and how they manage to influence the physical happening, etc.
For a c-compatibilist, you will will have to explain how the spirit itself is a c or not c free will entity, unless you use "spirit" as a gap explanation meaning that we can't ask about that by definition.
Machines cannot distinguish 'spirit' for 'more complex than me'.
On 6/15/2012 11:00 AM, Bruno Marchal wrote:
On 15 Jun 2012, at 18:17, meekerdb wrote:
On 6/15/2012 8:43 AM, Bruno Marchal wrote:
On 14 Jun 2012, at 18:21, John Clark wrote:
On Mon, Jun 4, 2012 Craig Weinberg <whats...@gmail.com> wrote:
> I don't understand how we can change the judicial system if we don't have free will. All we can do is exist and watch to see whether we end up being compelled to change it or not by forces outside of our control.
And so it goes, one group screams cries and jumps up and down insisting that we do have free will and another group is just as insistent that we do not. But neither group can stop yelling for one second to ask what "free will" is supposed to mean. I humbly suggest that we first decide what "free will" is, and only then would it be fruitful to debate the question of whether people have this interesting property or not; until then it's just a tale told by an idiot full of sound and fury signifying nothing.
OK. Perhaps we should always make at least precise if we talk about compatibilist free will (c-free-will) or non comptatibilist free will (nc-free-will). People defending nc-free-will should say so.
In comp, c-free-will is rather easy to define, and even a variety of ways, and computer science theorem justifies a role, and plausibly a "darwinian selectable role" for some of the possible definitions.
About nc-free-will, I have not any idea (yet?) about what it could mean. I tend to agree with John on this.
It seems pretty clear. It's an ability to make decisions in a spirit realm and have them implemented in the physical realm.
OK. In the spirit realm I get an headache, and decide to take an aspirin.
That entails that physics is not closed, i.e. some physical events happen for a purpose but without an antecedent physical cause.
How can you know that. It is like invoking the spirit each time we were wrong on a level of complexity.I think I see what you try to conceive, though. Nice try.
This not meaningless because with sufficient experimental resolution it could be tested.
How? Machines cannot know their level of substitution. Spirits might be arithmetical cyber pirates.
I don't think it's required that a brain be able to know itself; only that other brains and machines be able to know it at the required level.
If we could follow in detail the workings of a subject's brain and we found that there were physically uncaused events that led to actions and decisions and these events almost always contributed to the realization of express plans, values, and desires of the subject then we would have say that was evidence for nc-free-will.
I see your point, so you are right, in some sense. It is a bit far stretched in the comp setting, but it makes sense. But at the meta-level you need now to provide a theory of those spirits, and how they manage to influence the physical happening, etc.
I don't think physics is causally open in this way, so, until there is evidence it is, I see no reason to worry about formulating a theory of the spirit realm. Others however have formed theories, also know as religions, and some of those have even been experimentally tested. So far the evidence has gone against them. But it's good to keep an open mind and think about how theories might be tested.
For a c-compatibilist, you will will have to explain how the spirit itself is a c or not c free will entity, unless you use "spirit" as a gap explanation meaning that we can't ask about that by definition.
Yes, I take it that's John point. Either the spirit actions are determined by antecedent spirit states or they are not, and hence random, and we're back to where we started. But first, we're not quite back to where we started, we'd have evidence for a spirit realm, which is why people like to believe in free-will; dualism goes with various religious ideas of an afterlife. Second, the spirit might be inherently purposeful the way QM is inherently random. Metaphysically the question is whether events can be both non-deterministic and non-random. Is there a third category of "purposeful" or "teleological"; or are those just higher level appearances.
Machines cannot distinguish 'spirit' for 'more complex than me'.
But does that prevent a machine from testing whether a different machine which is not more complex is nomologically closed. Are you saying that if a machine (brain) seemed to be nomologically open and purposeful we should not regard it as evidence for a spirit realm but instead say that our level of test resolution was not fine enough?
Brent
Bruno
Brent
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Bruno, you are an exception; "you think" and I think you are right. BUT: listen to the "SCIENTISTS" who argue in statement-style (such and such LAWS postulate, ...you cannot violate some other LAWS... not to mention the "IT IS WELL KNOWN THAT" argumentations in conventional scientific caves. Nobody admits agnosticism when it comes to math-supported figments. Then everybody has a firm and unshakable knowledge about his/her theory.
> It seems pretty clear. It's an ability to make decisions in a spirit realm and have them implemented in the physical realm.
> If we could follow in detail the workings of a subject's brain and we found that there were physically uncaused events
> that led to actions and decisions
> and these events almost always contributed to the realization of express plans
> and these events almost always contributed to the realization of express plans
If the plans were announced before the event and it always happened then you would have a very hard time convincing anyone that the event really was "physically uncaused", few get that lucky so its statistically much more likely the plans caused the event.
On 6/16/2012 10:49 AM, John Clark wrote:> and these events almost always contributed to the realization of express plans
If the plans were announced before the event and it always happened then you would have a very hard time convincing anyone that the event really was "physically uncaused", few get that lucky so its statistically much more likely the plans caused the event.
That was Bruno's point that he would sooner suppose that we had just not looked closely enough, or at a low enough level, to detect the physical chain of causation. I don' believe in this spirit theory anyway; I was just trying to show it was a testable theory. Of course if you take Bruno's view then you risk making materialism an untestable theory, since no matter what result you can say,"Well it must be due to a deeper physical phenomenon."
-- Onward! Stephen "Nature, to be commanded, must be obeyed." ~ Francis Bacon
> I don' believe in this spirit theory anyway; I was just trying to show it was a testable theory.
> Of course if you take Bruno's view then you risk making materialism an untestable theory, since no matter what result you can say,"Well it must be due to a deeper physical phenomenon."
On Sat, Jun 16, 2012 meekerdb <meek...@verizon.net> wrote:> I don' believe in this spirit theory anyway; I was just trying to show it was a testable theory.
I have never understood why things are supposed to become less self-contradictory in the "spirit world" than in our world or how spirit theory is somehow fundamentally different from physical theory. If "spirit" caused X and X caused Y then both X and Y came into existence by a deterministic process. As for spirit itself there are only two possibilities, spirit came into existence for a reason or it did not, and you can say exactly the same thing about an electron.
> Of course if you take Bruno's view then you risk making materialism an untestable theory, since no matter what result you can say,"Well it must be due to a deeper physical phenomenon."
I don't see why it *MUST* be due to a deeper physical phenomenon; nearly every physicists alive says some things have no cause
and I can think of no obvious reason why what they say MUST be untrue,
so I'm pretty sure they're probably right. I said I couldn't think of a reason but of course I could believe in mystical crap for no reason whatsoever, lots and lots of people do exactly that, but apparently something has caused me not to follow them and embrace the unreasoned life. And testable or not of one thing I am certain, materialism is true or it is not; although I may never know which it MUST nevertheless be true that everything happens for a reason or it does not. And I really don't think any of this is rocket science.
John K Clark
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> We can perhaps agree that consciousness-here-and-now is the only truth we know which seems undoubtable, so it might be more easy to explain the illusion of matter to consciousness than the illusion of consciousness to a piece of matter.
>> I don't see why it *MUST* be due to a deeper physical phenomenon; nearly every physicists alive says some things have no cause
> You might provide references.
> Event without reason might exist but cannot be invoked to explain anything.
> To invoke them as such is just equivalent with "I dunno and will never know".
On Sun, Jun 17, 2012 at Bruno Marchal <mar...@ulb.ac.be> wrote:> We can perhaps agree that consciousness-here-and-now is the only truth we know which seems undoubtable, so it might be more easy to explain the illusion of matter to consciousness than the illusion of consciousness to a piece of matter.
If consciousness is more fundamental than matter then it's difficult to explain why it's easy to find examples of matter without consciousness but nobody has yet found a single example of consciousness without matter.
Yeah yeah I know, it's all just a illusion, but why only that illusion? Why is the "illusion" always that matter effects consciousness and consciousness effects matter if one is more fundamental than the other?
>> I don't see why it *MUST* be due to a deeper physical phenomenon; nearly every physicists alive says some things have no cause
> You might provide references.Why? I think it would have been pompous and downright condescending to do so, you will certainly have no trouble finding such references without my help.
But if I had said "many physicist think it is a logical necessity that every event must have a cause" then THAT would indeed need references!> Event without reason might exist but cannot be invoked to explain anything.
To say that X happened not for any physical reason and not because of God but for no reason whatsoever is a explanation and it might even be true, but the trouble is it might not be and if you assume its true and give up there is no hope of ever finding the true reason if there is one. So there is the possibility we could spend eternity looking for something that does not exist.
> To invoke them as such is just equivalent with "I dunno and will never know".
These answers to a question are all different:
1) I dunno. (What is the capital of Wyoming?)
2) I dunno and may never know. (Is the Goldbach Conjecture true?)
3) I dunno and will never know. (What are the first hundred digits of Chaitin's Omega Constant?)
4) Although meaningful the question has no answer. (Why is there something rather than nothing?)
And either a chain of "why" question is infinitely long or it is not and you eventually come to a "why" question that cannot be answered because there is no reason behind it.
>>Can you give an example of something neither determined nor random?
> No, not that I know to be such
>but believers in contra causal free will think that at least some of their actions are.
> I don't know whether they would allow that psychological states must be either deterministic or random.
> There is even an interpretation of QM (mostly associated with Henry Stapp) that looks at "random" events as "caused by future states".
On 17 Jun 2012, at 19:35, John Clark wrote:
On Sun, Jun 17, 2012 at Bruno Marchal <mar...@ulb.ac.be> wrote:
> We can perhaps agree that consciousness-here-and-now is the only truth we know which seems undoubtable, so it might be more easy to explain the illusion of matter to consciousness than the illusion of consciousness to a piece of matter.
If consciousness is more fundamental than matter then it's difficult to explain why it's easy to find examples of matter without consciousness but nobody has yet found a single example of consciousness without matter.
This is debatable. nobody has found, nor can found, example of primitive matter. It is a metaphysical hypothesis brought by Aristotle (and of course it is a popular extrapolation among animals)
Now, it is easy, when assuming comp, to have example of consciousnes without *primitive* matter, like all experiences emerging from the arithmetical computations.
Yeah yeah I know, it's all just a illusion, but why only that illusion? Why is the "illusion" always that matter effects consciousness and consciousness effects matter if one is more fundamental than the other?
Because consciousness, to be relatively manifestable, introduced a separation between me and not me, and the "not me" below my substitution level get stable and persistent by the statistical interference between the infinitely many computations leading to my first person actual state.
So in arithmetic we can explain why numbers believe in consciousness and matter. In physics, we cannot unless we abandon comp and introduce special non turing emulable, nor first person recoverable, special infinities.
>> I don't see why it *MUST* be due to a deeper physical phenomenon; nearly every physicists alive says some things have no cause
> You might provide references.
Why? I think it would have been pompous and downright condescending to do so, you will certainly have no trouble finding such references without my help.
I don't find them. I can think only about the wave collapse, and perhaps the big bang. But I don't see this being said explicitly by physicists.It is a bit problematical for a computationalist, for the notion of "cause" is a rather fuzzy high level notion.
But if I had said "many physicist think it is a logical necessity that every event must have a cause" then THAT would indeed need references!
> Event without reason might exist but cannot be invoked to explain anything.
To say that X happened not for any physical reason and not because of God but for no reason whatsoever is a explanation and it might even be true, but the trouble is it might not be and if you assume its true and give up there is no hope of ever finding the true reason if there is one. So there is the possibility we could spend eternity looking for something that does not exist.
> To invoke them as such is just equivalent with "I dunno and will never know".
These answers to a question are all different:
1) I dunno. (What is the capital of Wyoming?)
2) I dunno and may never know. (Is the Goldbach Conjecture true?)
3) I dunno and will never know. (What are the first hundred digits of Chaitin's Omega Constant?)
This one, you can know, if you are patient enough. But you will not know it and also know that you know it, so you can still doubt. Chaitin's constant can be computed *in the limit*. Its decimal will stabilize, you just don't know when.
4) Although meaningful the question has no answer. (Why is there something rather than nothing?)
OK, but the question can be reduced to "why there are natural numbers obeying addition and multiplication law".
And either a chain of "why" question is infinitely long or it is not and you eventually come to a "why" question that cannot be answered because there is no reason behind it.
But this can be (and should be) accepted for the initial axioms of a theory, not for what we want to explain. A physical event without a cause or a reason does not make much sense to me (and makes no sense with comp).
Bruno
> This is debatable. nobody has found, nor can found, example of primitive matter.
> Now, it is easy, when assuming comp, to have example of consciousnes without *primitive* matter,
> consciousness, to be relatively manifestable, introduced a separation between me and not me,
>> 3) I dunno and will never know. (What are the first hundred digits of Chaitin's Omega Constant?)
> This one, you can know, if you are patient enough. But you will not know it and also know that you know it
> Chaitin's constant can be computed *in the limit*. Its decimal will stabilize, you just don't know when.
>> Although meaningful the question has no answer. (Why is there something rather than nothing?)
> OK, but the question can be reduced to "why there are natural numbers obeying addition and multiplication law"
> A physical event without a cause or a reason does not make much sense to me (and makes no sense with comp).
On 6/18/2012 1:04 AM, Bruno Marchal wrote:
On 17 Jun 2012, at 19:35, John Clark wrote:
On Sun, Jun 17, 2012 at Bruno Marchal <mar...@ulb.ac.be> wrote:
> We can perhaps agree that consciousness-here-and-now is the only truth we know which seems undoubtable, so it might be more easy to explain the illusion of matter to consciousness than the illusion of consciousness to a piece of matter.
If consciousness is more fundamental than matter then it's difficult to explain why it's easy to find examples of matter without consciousness but nobody has yet found a single example of consciousness without matter.
This is debatable. nobody has found, nor can found, example of primitive matter. It is a metaphysical hypothesis brought by Aristotle (and of course it is a popular extrapolation among animals)
And almost all numbers have not been found.
Now, it is easy, when assuming comp, to have example of consciousnes without *primitive* matter, like all experiences emerging from the arithmetical computations.
Yeah yeah I know, it's all just a illusion, but why only that illusion? Why is the "illusion" always that matter effects consciousness and consciousness effects matter if one is more fundamental than the other?
Because consciousness, to be relatively manifestable, introduced a separation between me and not me, and the "not me" below my substitution level get stable and persistent by the statistical interference between the infinitely many computations leading to my first person actual state.
How does on computation interfere with another? and how does that define a conscious stream of thought that is subjective agreement with other streams of thought?
Brent
> Thins happen for:a reason and a cause
or
a reason but not cause
or
no reason but a cause
or
no reason and no cause.
> So what caused the plans?
> causes are not reasons
On 6/18/2012 11:51 AM, meekerdb wrote:
On 6/18/2012 1:04 AM, Bruno Marchal wrote:
Because consciousness, to be relatively manifestable, introduced a separation between me and not me, and the "not me" below my substitution level get stable and persistent by the statistical interference between the infinitely many computations leading to my first person actual state.
How does on computation interfere with another? and how does that define a conscious stream of thought that is subjective agreement with other streams of thought?
Brent
Do you realize that you are asking Bruno the same question here that I have been asking him for a long time now? Exactly how do computations have any form of causal efficacy upon each other within an immaterialist scheme?
Might it be that 'subjective agreement" between streams of thought is just another form of what computer science denotes as bisimulation (except that it is not a timeless platonic version of it)?--
Onward! Stephen
"Nature, to be commanded, must be obeyed." ~ Francis Bacon
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Brent, Stephen,
On 18 Jun 2012, at 18:55, Stephen P. King wrote:
On 6/18/2012 11:51 AM, meekerdb wrote:
On 6/18/2012 1:04 AM, Bruno Marchal wrote:
Because consciousness, to be relatively manifestable, introduced a separation between me and not me, and the "not me" below my substitution level get stable and persistent by the statistical interference between the infinitely many computations leading to my first person actual state.
How does on computation interfere with another? and how does that define a conscious stream of thought that is subjective agreement with other streams of thought?
Brent
They interfere statistically by the first person indeterminacy on UD* (or arithmetic).
And it remains to be seen if that defines a conscious stream of thought that is subjective agreement with other streams of thought.
Do you realize that you are asking Bruno the same question here that I have been asking him for a long time now? Exactly how do computations have any form of causal efficacy upon each other within an immaterialist scheme?
By the embedding of a large part of the constructive computer science in arithmetic.
There is a universal diophantine polynomial (I will say more on this on the FOAR list soon). Once you have a universal system, you get them all (with CT). I might identify a notion of cause with the notion of universal (or not) machine. Some existing number relation implements all the possible relations between all possible universal machine.
You have to study the detail of Gödel's proof, or study Kleene's predicate, which translate computer science in arithmetic. For the non materialist, the problem is not to get interactions, the problem is not having too much of them.
On Sun, Jun 17, 2012 meekerdb <meek...@verizon.net> wrote:>>Can you give an example of something neither determined nor random?
> No, not that I know to be such
What a surprise.
>but believers in contra causal free will think that at least some of their actions are.
In other words believers in contra causal free will (whatever the hell that's supposed to mean) believe that nothing caused them to do it and being masters of doublethink simultaneously believe that nothing didn't cause them to do it, in still other words believers in "contra causal free will" believe in the power of gibberish.
> I don't know whether they would allow that psychological states must be either deterministic or random.
What do you mean you don't know! If they did it because they wanted to then it's deterministic.> There is even an interpretation of QM (mostly associated with Henry Stapp) that looks at "random" events as "caused by future states".
Fine, but if it's caused then it's not random. Maybe things we believe are random are really caused but the causes are very strange, however just because humans find them weird does not make them one bit less mechanical. Perhaps last month you had no choice and you just had to spend good money to see the movie "John Carter on Mars", you were forced into it because a hundred years from now your great great great granddaughter will buy an ice cream cone at a movie called "Mars on John Carter". But I don't understand how any of this is supposed to make the "free will" noise less idiotic.
John K Clark
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Brent, Stephen,
On 18 Jun 2012, at 18:55, Stephen P. King wrote:
On 6/18/2012 11:51 AM, meekerdb wrote:
On 6/18/2012 1:04 AM, Bruno Marchal wrote:
Because consciousness, to be relatively manifestable, introduced a separation between me and not me, and the "not me" below my substitution level get stable and persistent by the statistical interference between the infinitely many computations leading to my first person actual state.
How does on computation interfere with another? and how does that define a conscious stream of thought that is subjective agreement with other streams of thought?
Brent
They interfere statistically by the first person indeterminacy on UD* (or arithmetic).
And it remains to be seen if that defines a conscious stream of thought that is subjective agreement with other streams of thought.
Do you realize that you are asking Bruno the same question here that I have been asking him for a long time now? Exactly how do computations have any form of causal efficacy upon each other within an immaterialist scheme?
By the embedding of a large part of the constructive computer science in arithmetic.
There is a universal diophantine polynomial (I will say more on this on the FOAR list soon). Once you have a universal system, you get them all (with CT). I might identify a notion of cause with the notion of universal (or not) machine. Some existing number relation implements all the possible relations between all possible universal machine.
You have to study the detail of Gödel's proof, or study Kleene's predicate, which translate computer science in arithmetic. For the non materialist, the problem is not to get interactions, the problem is not having too much of them.
Keep in mind I submit a problem, for the computationalist. Not a solution., but precise problems. You can use the arithmetical quantization to test test the quantum tautologies.
We will see if there is or not some winning topological quantum computer on the border of numberland, as seen from inside all computations.
-- Onward! Stephen "Nature, to be commanded, must be obeyed." ~ Francis Bacon
On 6/18/2012 2:13 PM, Bruno Marchal wrote:Brent, Stephen,
On 18 Jun 2012, at 18:55, Stephen P. King wrote:
On 6/18/2012 11:51 AM, meekerdb wrote:
On 6/18/2012 1:04 AM, Bruno Marchal wrote:
Because consciousness, to be relatively manifestable, introduced a separation between me and not me, and the "not me" below my substitution level get stable and persistent by the statistical interference between the infinitely many computations leading to my first person actual state.
How does on computation interfere with another? and how does that define a conscious stream of thought that is subjective agreement with other streams of thought?
Brent
They interfere statistically by the first person indeterminacy on UD* (or arithmetic).
That still seems very vague. I can suppose that many computations go thru the same or similar sequences which later branch and so have indeterminant futures. But is that 'interference'?
And why should it produce any "me", "not me" boundary?
And it remains to be seen if that defines a conscious stream of thought that is subjective agreement with other streams of thought.
Do you realize that you are asking Bruno the same question here that I have been asking him for a long time now? Exactly how do computations have any form of causal efficacy upon each other within an immaterialist scheme?
By the embedding of a large part of the constructive computer science in arithmetic.
There is a universal diophantine polynomial (I will say more on this on the FOAR list soon). Once you have a universal system, you get them all (with CT). I might identify a notion of cause with the notion of universal (or not) machine. Some existing number relation implements all the possible relations between all possible universal machine.
You have to study the detail of Gödel's proof, or study Kleene's predicate, which translate computer science in arithmetic. For the non materialist, the problem is not to get interactions, the problem is not having too much of them.
Exactly. It's the problem of having proved too much. To say all computations can exist and if consciousness is computation then all conscious thoughts will exist is true but meaningless - like tautologies are.
Brent
Keep in mind I submit a problem, for the computationalist. Not a solution., but precise problems. You can use the arithmetical quantization to test test the quantum tautologies.
We will see if there is or not some winning topological quantum computer on the border of numberland, as seen from inside all computations.
Bruno
Might it be that 'subjective agreement" between streams of thought is just another form of what computer science denotes as bisimulation (except that it is not a timeless platonic version of it)?--Onward! Stephen
There is little difference, that I can see, between Brent's proposed spirit world intervening in the physical world, and brains in vats intervening in a virtual world, and there is nothing impossible about the latter scenario. From the perspective of those in the virtual world, the actions of entities would be neither random nor determined.
Jason
On 6/18/2012 5:13 PM, Bruno Marchal wrote:
Brent, Stephen,
On 18 Jun 2012, at 18:55, Stephen P. King wrote:
On 6/18/2012 11:51 AM, meekerdb wrote:
On 6/18/2012 1:04 AM, Bruno Marchal wrote:
Because consciousness, to be relatively manifestable, introduced a separation between me and not me, and the "not me" below my substitution level get stable and persistent by the statistical interference between the infinitely many computations leading to my first person actual state.
How does on computation interfere with another? and how does that define a conscious stream of thought that is subjective agreement with other streams of thought?
Brent
They interfere statistically by the first person indeterminacy on UD* (or arithmetic).
Hi Bruno,
You seem to have an exact metric for this "measure" of "the first person indeterminacy on UD* (or arithmetic)".
What I need to understand is the reasoning behind your choice of set theory and arithmetic axioms;
after all there are many mutually-exclusive and yet self-consistent choices that can be made. Do you see a 1p feature that would allow you to known that preference is not biased?
And it remains to be seen if that defines a conscious stream of thought that is subjective agreement with other streams of thought.
If it does not have "subjective argeement" with other mutually exclusive then there would be a big problem. No?
Do you realize that you are asking Bruno the same question here that I have been asking him for a long time now? Exactly how do computations have any form of causal efficacy upon each other within an immaterialist scheme?
By the embedding of a large part of the constructive computer science in arithmetic.
What "part" is not embedded?
There is a universal diophantine polynomial (I will say more on this on the FOAR list soon). Once you have a universal system, you get them all (with CT). I might identify a notion of cause with the notion of universal (or not) machine. Some existing number relation implements all the possible relations between all possible universal machine.
Universality (of computations) requires the existence of an equivalence class (modulo diffeomorphisms) of physical systems over which that computation is functionally equivalent. No?
If not, how is universality defined? Over a purely abstract set? What defines the axioms for that set?
You have to study the detail of Gödel's proof, or study Kleene's predicate, which translate computer science in arithmetic. For the non materialist, the problem is not to get interactions, the problem is not having too much of them.
Correct! You get an infinite regress of "interactions"! Way too many! In fact, I bet that you get at least a aleph_1 cardinal infinity. But what about the continuum hypothesis? Do you take it as true or false in your sets?
If you take it as false then you obtain a very interesting thing in the number theory; it looks like all arithmetics are non-standard in some infinite limit! You have to have a means to necessitate a limit to finite sets. The requirement of Boolean satisfyability exactly gives us this "rule".
Keep in mind I submit a problem, for the computationalist. Not a solution., but precise problems. You can use the arithmetical quantization to test test the quantum tautologies.
We will see if there is or not some winning topological quantum computer on the border of numberland, as seen from inside all computations.
What physical experiment will measure this effect?
If there is no physical effect correlated with the difference, then this idea is literally a figment of someone's imagination and nothing more. The physical implementation of a quantum computer is a physical event. I thought that your idea that computations are independent of all physicality was completely and causally independent from such. =-O
My argument is that a computational simulation is nothing more than "vaporware" (a figment of someone's imagination) until and unless there exists a plenum of physical systems that all can implement the "best possible version" of that simulation.
When we recall that Wolfram defines the "real thing" as the "best possible simulation, we reach a conclusion. This "plenum" is the trace or action (???I am not sure???) of (on?) an equivalence class of spaces that are diffeomorphic to each *other under some ordering*. I am not certain of the wording of the first part of this, but I am absolutely certain of the latter part, "an equivalence class of spaces that are diffeomorphic to each *other under some ordering*" I am unassailably certain of.
On Mon, Jun 18, 2012 at 4:04 AM, Bruno Marchal <mar...@ulb.ac.be> wrote:> This is debatable. nobody has found, nor can found, example of primitive matter.
Unlike the proton and neutron nobody has found any experimental evidence that the electron has a inner structure, that it is made of parts.
> Now, it is easy, when assuming comp, to have example of consciousnes without *primitive* matter,
But then its odd that in the "illusion" we live our lives in consciousness is ALWAYS linked with matter.
> consciousness, to be relatively manifestable, introduced a separation between me and not me,
In the "illusion" my body is always linked with my consciousness but a rock is not unless the rock interacts with my body, a very odd illusion if consciousness is more fundamental than matter, and odd the illusion is so persistent and universal.
>> 3) I dunno and will never know. (What are the first hundred digits of Chaitin's Omega Constant?)
> This one, you can know, if you are patient enough. But you will not know it and also know that you know it
True in a way. It's very unlikely but a random number generator could spit it out but it would not do you any good because you'd have no way of knowing it is Chaitin's Omega Constant.
> Chaitin's constant can be computed *in the limit*. Its decimal will stabilize, you just don't know when.
It can't be computed in a finite number of years.
To calculate the first 100 digits of Chaitin's constant you'd need to feed all programs that can be expressed in 100 bits or less into a Turing Machine and see how many of them stop and how many of then do not. Some of them will never stop but the only way to know how many is to wait a infinite number of years and then see how many programs are still running. So you'd need to be infinitely patient, in other words you'd need to be dead.
>> Although meaningful the question has no answer. (Why is there something rather than nothing?)
> OK, but the question can be reduced to "why there are natural numbers obeying addition and multiplication law"
Lawrence Krauss in his book "A Universe From Nothing" says that someday something close to that might actually be possible.
> A physical event without a cause or a reason does not make much sense to me (and makes no sense with comp).
Of course it doesn't make sense, it's in the nature of the beast.
If it made sense that would mean you knew the reason behind it but if it's truly random there is no reason behind it. It doesn't make sense that X came to be, that is to say you don't understand it because there is nothing to understand, X came to be for no reason.
>> how would the world be different if causes WERE reasons?
> if someone gets struck by lightning, God really does hate them.
> Reasons are aims and intentions in the minds of intelligent agents which explain and justify their actions. If you want to promote causes to reasons, you are going to need a lot more intelligent agents.
On 19 Jun 2012, at 00:08, meekerdb wrote:
On 6/18/2012 2:13 PM, Bruno Marchal wrote:Brent, Stephen,
On 18 Jun 2012, at 18:55, Stephen P. King wrote:
On 6/18/2012 11:51 AM, meekerdb wrote:
On 6/18/2012 1:04 AM, Bruno Marchal wrote:
Because consciousness, to be relatively manifestable, introduced a separation between me and not me, and the "not me" below my substitution level get stable and persistent by the statistical interference between the infinitely many computations leading to my first person actual state.
How does on computation interfere with another? and how does that define a conscious stream of thought that is subjective agreement with other streams of thought?
Brent
They interfere statistically by the first person indeterminacy on UD* (or arithmetic).
That still seems very vague. I can suppose that many computations go thru the same or similar sequences which later branch and so have indeterminant futures. But is that 'interference'?
Sure. Of course a priori it is not wave like, for the probabilities add only, untilm you take the self-reference constraint into account, which leads to the arithmetical quantization, which imposes a quantum logic on the consistent extensions.
And why should it produce any "me", "not me" boundary?
It does not. "personal identity" is an illusion due to disconnected memories,
and correct self-reference. The me/not me is just explained by the diagonalisation: if Dx gives xx, DD gives DD.
And it remains to be seen if that defines a conscious stream of thought that is subjective agreement with other streams of thought.
Do you realize that you are asking Bruno the same question here that I have been asking him for a long time now? Exactly how do computations have any form of causal efficacy upon each other within an immaterialist scheme?
By the embedding of a large part of the constructive computer science in arithmetic.
There is a universal diophantine polynomial (I will say more on this on the FOAR list soon). Once you have a universal system, you get them all (with CT). I might identify a notion of cause with the notion of universal (or not) machine. Some existing number relation implements all the possible relations between all possible universal machine.
You have to study the detail of Gödel's proof, or study Kleene's predicate, which translate computer science in arithmetic. For the non materialist, the problem is not to get interactions, the problem is not having too much of them.
Exactly. It's the problem of having proved too much. To say all computations can exist and if consciousness is computation then all conscious thoughts will exist is true but meaningless - like tautologies are.
It is not tautological because we can test if there are too much computations and if they obey quantum logic or not, so it is certainly not tautological. You forget that the laws of physics are given by the statistics on those computations.
Bruno
Brent
Keep in mind I submit a problem, for the computationalist. Not a solution., but precise problems. You can use the arithmetical quantization to test test the quantum tautologies.
We will see if there is or not some winning topological quantum computer on the border of numberland, as seen from inside all computations.
Bruno
Might it be that 'subjective agreement" between streams of thought is just another form of what computer science denotes as bisimulation (except that it is not a timeless platonic version of it)?--Onward! Stephen
> I can provide an example of something that is neither random nor determined** (from certain perspectives)
On Mon, Jun 18, 2012 at 11:56 PM, Jason Resch <jason...@gmail.com> wrote:> I can provide an example of something that is neither random nor determined** (from certain perspectives)
Of course it's not random or determined *FROM CERTAIN PERSPECTIVES*!
I've said over and over that there are only 2 meanings to the phrase "free will" that are not gibberish, and one of them is the inability to always predict what you will do next even in a stable environment
and even if such a prediction would be easy to make by someone else who has a different perspective. And I have also said that it is unfortunate that nobody except me has either meaning in mind when they make the "free will" noise and prefer circularity and gibberish.
John K Clark
Cursor movements when controlling a VM. While a super-intelligent AI program running in the VM could come up with theories about the mouse movements, even possibly learning some rudimentary rules about acceleration and inertia from the movements of the cursor, or theorize they are controlled by diurnal creatures, such an AI could never truly predict when and where the mouse pointer will be moved next.Similarly, when one plays a computer game, from the perspective of the AI characters in the game, your character is controlled by an indeterminable process whose total information and description can never be fully known to those characters within the simulation. Chalmers mentions this as a possibility for concretely realizing dualism: http://consc.net/papers/matrix.htmlThere is little difference, that I can see, between Brent's proposed spirit world intervening in the physical world, and brains in vats intervening in a virtual world, and there is nothing impossible about the latter scenario. From the perspective of those in the virtual world, the actions of entities would be neither random nor determined.Jason>but believers in contra causal free will think that at least some of their actions are.
In other words believers in contra causal free will (whatever the hell that's supposed to mean) believe that nothing caused them to do it and being masters of doublethink simultaneously believe that nothing didn't cause them to do it, in still other words believers in "contra causal free will" believe in the power of gibberish.
> I don't know whether they would allow that psychological states must be either deterministic or random.
What do you mean you don't know! If they did it because they wanted to then it's deterministic.> There is even an interpretation of QM (mostly associated with Henry Stapp) that looks at "random" events as "caused by future states".
Fine, but if it's caused then it's not random. Maybe things we believe are random are really caused but the causes are very strange,
however just because humans find them weird does not make them one bit less mechanical.
Perhaps last month you had no choice and you just had to spend good money to see the movie "John Carter on Mars", you were forced into it because a hundred years from now your great great great granddaughter will buy an ice cream cone at a movie called "Mars on John Carter". But I don't understand how any of this is supposed to make the "free will" noise less idiotic.
On 6/19/2012 12:57 AM, Bruno Marchal wrote:
On 19 Jun 2012, at 00:08, meekerdb wrote:
On 6/18/2012 2:13 PM, Bruno Marchal wrote:Brent, Stephen,
On 18 Jun 2012, at 18:55, Stephen P. King wrote:
On 6/18/2012 11:51 AM, meekerdb wrote:
On 6/18/2012 1:04 AM, Bruno Marchal wrote:
Because consciousness, to be relatively manifestable, introduced a separation between me and not me, and the "not me" below my substitution level get stable and persistent by the statistical interference between the infinitely many computations leading to my first person actual state.
How does on computation interfere with another? and how does that define a conscious stream of thought that is subjective agreement with other streams of thought?
Brent
They interfere statistically by the first person indeterminacy on UD* (or arithmetic).
That still seems very vague. I can suppose that many computations go thru the same or similar sequences which later branch and so have indeterminant futures. But is that 'interference'?
Sure. Of course a priori it is not wave like, for the probabilities add only, untilm you take the self-reference constraint into account, which leads to the arithmetical quantization, which imposes a quantum logic on the consistent extensions.
To quick for me. Is this spelled out somewhere.
And why should it produce any "me", "not me" boundary?
It does not. "personal identity" is an illusion due to disconnected memories,
But they are not 'disconnected'. It's their connectedness that is essential to the 'illusion'.
and correct self-reference. The me/not me is just explained by the diagonalisation: if Dx gives xx, DD gives DD.
Again, does not explain it to me.
>> Unlike the proton and neutron nobody has found any experimental evidence that the electron has a inner structure, that it is made of parts.
> The primitive matter I talk about is the idea of primary matter in the Aristotle sense
> If I say that electron is not primitive, I don't mean it is made of part, almost the contrary, that it is a mathematical reality, or that it is reducible to a non physical mathematical or theological reality, an invariant in our sharable computations.
>> To calculate the first 100 digits of Chaitin's constant you'd need to feed all programs that can be expressed in 100 bits or less into a Turing Machine and see how many of them stop and how many of then do not. Some of them will never stop but the only way to know how many is to wait a infinite number of years and then see how many programs are still running. So you'd need to be infinitely patient, in other words you'd need to be dead.
> Only to be sure of the decimals obtained.
> If I relax that constraints, then I need only to be *very patient*. The non computable, but well defined Buzzy Beaver function (BB) bounds the time needed to wait. Of course it grows *very* fast. But I don't need an *infinite* time to get the 100 first digits correct. Any time bigger than BB(100) will do.
> Lawrence Krauss in his book "A Universe From Nothing" says that someday something close to that might actually be possible.> You mean? Deriving addition and multiplication from physics?
> That is impossible.
> Why do you use "gibberish" to condemn free will, and not to condemn event without cause?
On 19 Jun 2012, at 08:01, Stephen P. King wrote:
On 6/18/2012 5:13 PM, Bruno Marchal wrote:
Brent, Stephen,
On 18 Jun 2012, at 18:55, Stephen P. King wrote:
On 6/18/2012 11:51 AM, meekerdb wrote:
On 6/18/2012 1:04 AM, Bruno Marchal wrote:
Because consciousness, to be relatively manifestable, introduced a separation between me and not me, and the "not me" below my substitution level get stable and persistent by the statistical interference between the infinitely many computations leading to my first person actual state.
How does on computation interfere with another? and how does that define a conscious stream of thought that is subjective agreement with other streams of thought?
Brent
They interfere statistically by the first person indeterminacy on UD* (or arithmetic).
Hi Bruno,
You seem to have an exact metric for this "measure" of "the first person indeterminacy on UD* (or arithmetic)".
Not at all. I only reduce the mind-body problem (including the body problem) into the problem of finding that metric. UDA must be seen as a proof of existence of that "metric" from the comp hypothesis. Then AUDA gives the logic of observable which is a step toward that metric isolation.
What I need to understand is the reasoning behind your choice of set theory and arithmetic axioms;
I don't use set theory. Only elementary arithmetic. At the ontological level.
At the meta-level I use all the math I need, like any scientist in any part of science.
after all there are many mutually-exclusive and yet self-consistent choices that can be made. Do you see a 1p feature that would allow you to known that preference is not biased?
As I said, I use arithmetic because natiural numbers are taught in high school, but any (Turing) universal will do.
the point is that neither the laws of consciousness, nor the laws of matter depend on the choice of the basic initial system, so I use the one that everybody knows.
Sometimes I use the combinators or the lambda algebra. I don't use geometrical or physical system because that would be both a treachery, in our setting, and it would also be confusing for the complete derivation of the physical laws.
And it remains to be seen if that defines a conscious stream of thought that is subjective agreement with other streams of thought.
If it does not have "subjective argeement" with other mutually exclusive then there would be a big problem. No?
No. It would be a refutation of comp+classical theory of knowledge (by UDA). That would be a formidable result.But the evidences available now, is that the physics derived from arithmetic, through comp+ usual definition of knowledge, is similar to the empirical physics (AUDA).
Do you realize that you are asking Bruno the same question here that I have been asking him for a long time now? Exactly how do computations have any form of causal efficacy upon each other within an immaterialist scheme?
By the embedding of a large part of the constructive computer science in arithmetic.
What "part" is not embedded?
The non elementary, second order, or analytical part. It is not embedded in the number relations, but it appears in the mind of the universal numbers as tool to accelerate the self-study. It is epistemological.
There is a universal diophantine polynomial (I will say more on this on the FOAR list soon). Once you have a universal system, you get them all (with CT). I might identify a notion of cause with the notion of universal (or not) machine. Some existing number relation implements all the possible relations between all possible universal machine.
Universality (of computations) requires the existence of an equivalence class (modulo diffeomorphisms) of physical systems over which that computation is functionally equivalent. No?
?
If not, how is universality defined? Over a purely abstract set? What defines the axioms for that set?
You don't need set. You can define "universal" in arithmetic. I am starting an explanation of this on the FOAR list.
You have to study the detail of Gödel's proof, or study Kleene's predicate, which translate computer science in arithmetic. For the non materialist, the problem is not to get interactions, the problem is not having too much of them.
Correct! You get an infinite regress of "interactions"! Way too many! In fact, I bet that you get at least a aleph_1 cardinal infinity. But what about the continuum hypothesis? Do you take it as true or false in your sets?
I don't care at all.
If you take it as false then you obtain a very interesting thing in the number theory; it looks like all arithmetics are non-standard in some infinite limit! You have to have a means to necessitate a limit to finite sets. The requirement of Boolean satisfyability exactly gives us this "rule".
? (unclear).
Keep in mind I submit a problem, for the computationalist. Not a solution., but precise problems. You can use the arithmetical quantization to test test the quantum tautologies.
We will see if there is or not some winning topological quantum computer on the border of numberland, as seen from inside all computations.
What physical experiment will measure this effect?
Well, here the physical events is the discovery of quantum computations in nature. That is what remain to be seen in the arithmetical physics. But we have already the quantization and a quantum logic.
If there is no physical effect correlated with the difference, then this idea is literally a figment of someone's imagination and nothing more. The physical implementation of a quantum computer is a physical event. I thought that your idea that computations are independent of all physicality was completely and causally independent from such. =-O
My argument is that a computational simulation is nothing more than "vaporware" (a figment of someone's imagination) until and unless there exists a plenum of physical systems that all can implement the "best possible version" of that simulation.
Arithmetic implements all computations already. And UDA explain that the physical emerges from that, and evidence are that the comp arithmetical physics can implement the quantum computations. They are just not primitive.
When we recall that Wolfram defines the "real thing" as the "best possible simulation, we reach a conclusion. This "plenum" is the trace or action (???I am not sure???) of (on?) an equivalence class of spaces that are diffeomorphic to each *other under some ordering*. I am not certain of the wording of the first part of this, but I am absolutely certain of the latter part, "an equivalence class of spaces that are diffeomorphic to each *other under some ordering*" I am unassailably certain of.
Wolfralm is unaware of consciousness and first person indeterminacy.
On Tue, Jun 19, 2012 at 6:01 AM, Bruno Marchal <mar...@ulb.ac.be> wrote:>> Unlike the proton and neutron nobody has found any experimental evidence that the electron has a inner structure, that it is made of parts.
> The primitive matter I talk about is the idea of primary matter in the Aristotle sense
Aristotle was a great logician but a dreadful physicist.
> If I say that electron is not primitive, I don't mean it is made of part, almost the contrary, that it is a mathematical reality, or that it is reducible to a non physical mathematical or theological reality, an invariant in our sharable computations.
I don't know what that means. What experiment would I need to perform, what would a electron need to do to prove it was "primitive".
>> To calculate the first 100 digits of Chaitin's constant you'd need to feed all programs that can be expressed in 100 bits or less into a Turing Machine and see how many of them stop and how many of then do not. Some of them will never stop but the only way to know how many is to wait a infinite number of years and then see how many programs are still running. So you'd need to be infinitely patient, in other words you'd need to be dead.
> Only to be sure of the decimals obtained.
Well yeah, it's easy to calculate Chaitin's constant if you don't mind getting it wrong.
> If I relax that constraints, then I need only to be *very patient*. The non computable, but well defined Buzzy Beaver function (BB) bounds the time needed to wait. Of course it grows *very* fast. But I don't need an *infinite* time to get the 100 first digits correct. Any time bigger than BB(100) will do.
If we wait a googoplex to the googoplex power years some 100 bit programs will still be running, some of them could be Busy Beaver programs but others could just be very long finite programs. And in the same 1962 paper where Rado introduced the idea of the beaver he proved that a general algorithm to tell if a program is a Busy Beaver or not does not exist.
It's true that if you knew the numerical value of Chaitin's Constant then you would know that if a 100 bit program had not stopped after a Turing Machine had run n number of finite operations then it never will; but the trouble is you don't know Chaitin's Constant and never can, so you can never know how big n is. So even though they have been running for a googoplex to the googoplex power years one of those programs could stop 5 seconds from now.
And a Busy Beaver program grows faster than any computable function but to my knowledge it has not been proven that all non-computable functions grow as fast as the Busy Beaver.
> Lawrence Krauss in his book "A Universe From Nothing" says that someday something close to that might actually be possible.> You mean? Deriving addition and multiplication from physics?
No, Krauss talks about deriving physics from addition and multiplication, or at least from logic; he talks about proving that in the multiverse only certain fundamental laws of physics are logically self consistent. He even talks about the distant dream of showing that "something" is consistent but "nothing" is not.
> That is impossible.
I think both Krauss and I would give the same response to that, maybe.> Why do you use "gibberish" to condemn free will, and not to condemn event without cause?
Because the meaning of "a event without a cause" is clear and no circularity is involved.
Even the meaning of the question "what caused a event without a cause?" is clear, although it is a stupid question because the answer is so obvious. But the meaning of "free will" is anything but clear and circularity abounds.
And "why do we have free will?" is not a stupid question, its not smart and its not stupid and even though it contains a question mark it's not even a question, it's just a sequence of ASCII characters.
On 6/19/2012 5:39 AM, Bruno Marchal wrote:
On 19 Jun 2012, at 08:01, Stephen P. King wrote:
On 6/18/2012 5:13 PM, Bruno Marchal wrote:
Brent, Stephen,
On 18 Jun 2012, at 18:55, Stephen P. King wrote:
On 6/18/2012 11:51 AM, meekerdb wrote:
On 6/18/2012 1:04 AM, Bruno Marchal wrote:
Because consciousness, to be relatively manifestable, introduced a separation between me and not me, and the "not me" below my substitution level get stable and persistent by the statistical interference between the infinitely many computations leading to my first person actual state.
How does on computation interfere with another? and how does that define a conscious stream of thought that is subjective agreement with other streams of thought?
Brent
They interfere statistically by the first person indeterminacy on UD* (or arithmetic).
Hi Bruno,
You seem to have an exact metric for this "measure" of "the first person indeterminacy on UD* (or arithmetic)".
Not at all. I only reduce the mind-body problem (including the body problem) into the problem of finding that metric. UDA must be seen as a proof of existence of that "metric" from the comp hypothesis. Then AUDA gives the logic of observable which is a step toward that metric isolation.
Dear Bruno,
What I fail to understand is how the currently well known and existing proofs of the non-existence of generic metrics on infinite sets that are, AFAIK, identical to your concept of computations (as strings of numbers) do not seem to impress you at all. It is as if your are willfully blind to evidence that contradicts your claims.
I am sympathetic to your motivation and am interested in finding a path around this serious problem that I see in your reasoning.
My point here is that this claim that "UDA must be seen as a proof of existence of that "metric" from the comp hypothesis" has no epistemological "weight" if it cannot be associated with the other aspects of mathematics.
One must show how one's new idea/discovery of mathematical "objects/relations" are related to the wider universe of mathematical objects and relations; or one is risking the path of solipsism.
I have tried to get your attention to look at various possibilities, such as the axiom of choice, non-well founded sets, the Tennenbaum theorem, etc. as possible hints to a path to the solution but you seem to be trapped in a thought, like light orbiting a black hole, endlessly repeating the same idea over and over. Would you snap out of it and see what I am trying to explain to you?
What I need to understand is the reasoning behind your choice of set theory and arithmetic axioms;
I don't use set theory. Only elementary arithmetic. At the ontological level.
But Bruno, you are being disingenuous here. The phrase "only elementary arithmetic" is not all that is involved! in order to have a meaningful description of "only elementary arithmetic" one has to relate to a wider univerce of concepts and one must connect to the physical acts that support the experience of what numbers are.
At the meta-level I use all the math I need, like any scientist in any part of science.
I am not sure what that means.
after all there are many mutually-exclusive and yet self-consistent choices that can be made. Do you see a 1p feature that would allow you to known that preference is not biased?
As I said, I use arithmetic because natiural numbers are taught in high school, but any (Turing) universal will do.
Do you understand the idea that "natural numbers [as] ... taught in high school" does not have special ontological status?
I am trying to get you to think of numbers in a wider context.
the point is that neither the laws of consciousness, nor the laws of matter depend on the choice of the basic initial system, so I use the one that everybody knows.
So, does a consensus of belief grant special ontological status?
What else am I to think of the implication of the phrase "... that everybody knows".
Closed sets of communications are (representationally) studied in network, game and graph theory. From what I have read, finite versions of these reach equilibrium in at least log_2 N steps and once there never change again. This only illustrates the point that we have to consider open systems and those are such that they do not allow for exact closed form descriptions in math. This is a well known fact to any competent engineer.
Sometimes I use the combinators or the lambda algebra. I don't use geometrical or physical system because that would be both a treachery, in our setting, and it would also be confusing for the complete derivation of the physical laws.
Nice excuse! LOL!
And it remains to be seen if that defines a conscious stream of thought that is subjective agreement with other streams of thought.
If it does not have "subjective argeement" with other mutually exclusive then there would be a big problem. No?
No. It would be a refutation of comp+classical theory of knowledge (by UDA). That would be a formidable result.But the evidences available now, is that the physics derived from arithmetic, through comp+ usual definition of knowledge, is similar to the empirical physics (AUDA).
Exactly what does this mean? You keep repeating these words... How about finding a new set of words that has the same meaning? Truths are independent of particular representations!
Do you realize that you are asking Bruno the same question here that I have been asking him for a long time now? Exactly how do computations have any form of causal efficacy upon each other within an immaterialist scheme?
By the embedding of a large part of the constructive computer science in arithmetic.
What "part" is not embedded?
The non elementary, second order, or analytical part. It is not embedded in the number relations, but it appears in the mind of the universal numbers as tool to accelerate the self-study. It is epistemological.
So exactly how are numbers embedded themselves such that this second order aspect can have some measure of the logical analogue of causal efficasy (aka significance)? You are not avoiding the "other minds" problem here! One has to explain how minds can have any influence or even synchrony with each other.
Even Leibniz recognized this and postulated a "pre-established harmony" to account for it. It was a good try, but ultimately it failed for the simple reason that such a "pre-established harmony" is equivalent to the solution to an infinite NP-Complete computational problem.
You simply cannot ignore the implications of computational complexity!
There is a universal diophantine polynomial (I will say more on this on the FOAR list soon). Once you have a universal system, you get them all (with CT). I might identify a notion of cause with the notion of universal (or not) machine. Some existing number relation implements all the possible relations between all possible universal machine.
Universality (of computations) requires the existence of an equivalence class (modulo diffeomorphisms) of physical systems over which that computation is functionally equivalent. No?
?
Do I underestimate your ability to understand the English language? Do we need to go through the discussion of universality again? Really? OK, I will try to step though my reasoning slowly for you.
What does computational universality means if not some form of functional equivalence between a large (possibly infinite) set of physical systems?
It ultimately shows the notion of "Leibniz Equivalence. If two distributions of fields are related by a smooth transformation, then they represent the same physical systems." (http://plato.stanford.edu/entries/spacetime-holearg/Leibniz_Equivalence.html)
I am assuming that the readers can understand that "sets of physical systems" (as considered in the notion of computational universality)
are connected to representations of physical systems by "distributions of fields" for my reasoning to be clear here. Perhaps I have not explained this and made the mistake of just assuming that it is understood that in physics we use mathematical objects to *represent* the physical objects of experience. It is how *representation* works that we seem to have differences in opinion.
How much more do I need to explain? You claim that universality is completely separable from physical systems. I disagree.
If not, how is universality defined? Over a purely abstract set? What defines the axioms for that set?
You don't need set. You can define "universal" in arithmetic. I am starting an explanation of this on the FOAR list.
OK, I will continue to pay attention to your posts. :-)
You have to study the detail of Gödel's proof, or study Kleene's predicate, which translate computer science in arithmetic. For the non materialist, the problem is not to get interactions, the problem is not having too much of them.
Correct! You get an infinite regress of "interactions"! Way too many! In fact, I bet that you get at least a aleph_1 cardinal infinity. But what about the continuum hypothesis? Do you take it as true or false in your sets?
I don't care at all.
That is why I see your thesis as ultimately a failure. You are ignoring the very thing that causes problems for your idea.
You cannot just assume that some kind of number is special without justification.
While it is true that a huge quantity of work has been done discovering the properties of recursively enumerable functions and integers does not by itself justify or offer a proof that they are somehow special, as Kronecker and others seem to which with their statements such as : "God made the integers; all else is the work of man." http://en.wikipedia.org/wiki/God_Created_the_Integers
If you take it as false then you obtain a very interesting thing in the number theory; it looks like all arithmetics are non-standard in some infinite limit! You have to have a means to necessitate a limit to finite sets. The requirement of Boolean satisfyability exactly gives us this "rule".
? (unclear).
Where does the existence of non-contradiction in logic obtain from? Mere or arbitrary postulation? No. It is necessary. But this necessity in the axiomatic sense that we see when we consider logic as an abstract entity does not transfer into or onto actual sets of propositions such as those that would accurately represent physical systems interacting with each other in our worlds of experience.
Keep in mind I submit a problem, for the computationalist. Not a solution., but precise problems. You can use the arithmetical quantization to test test the quantum tautologies.
We will see if there is or not some winning topological quantum computer on the border of numberland, as seen from inside all computations.
What physical experiment will measure this effect?
Well, here the physical events is the discovery of quantum computations in nature. That is what remain to be seen in the arithmetical physics. But we have already the quantization and a quantum logic.
Have you tried this: http://scholar.google.com/scholar?q=quantum+computation++photosynthesis&btnG=&hl=en&as_sdt=0%2C41&as_vis=1
But how does the implementation of quantum computation in "natural" (as opposed to "man-made) systems prove your idea? So far I have shown you that there exists proofs that one cannot extract quantum logics from classical logics without serious moduli.
On the other hand, we can extract plenums of classical (Boolean) logical algebras from a single quantum logical lattice (modulo sufficient dimensions). Why are you so eager to extract quantum from the classical?
If there is no physical effect correlated with the difference, then this idea is literally a figment of someone's imagination and nothing more. The physical implementation of a quantum computer is a physical event. I thought that your idea that computations are independent of all physicality was completely and causally independent from such. =-O
My argument is that a computational simulation is nothing more than "vaporware" (a figment of someone's imagination) until and unless there exists a plenum of physical systems that all can implement the "best possible version" of that simulation.
Arithmetic implements all computations already. And UDA explain that the physical emerges from that, and evidence are that the comp arithmetical physics can implement the quantum computations. They are just not primitive.
Your use of the word "Implements" is nonsensical. Any concept of implementation that is completely divorced from physical actions is nonsense as it cannot imply things that it is unable to by its definition.
When we recall that Wolfram defines the "real thing" as the "best possible simulation, we reach a conclusion. This "plenum" is the trace or action (???I am not sure???) of (on?) an equivalence class of spaces that are diffeomorphic to each *other under some ordering*. I am not certain of the wording of the first part of this, but I am absolutely certain of the latter part, "an equivalence class of spaces that are diffeomorphic to each *other under some ordering*" I am unassailably certain of.
Wolfralm is unaware of consciousness and first person indeterminacy.
So? We could equally claim that you do not understand the role of complexity in computations and thus be dismissive of your ideas, but we chose not to.
>> It's true that if you knew the numerical value of Chaitin's Constant then you would know that if a 100 bit program had not stopped after a Turing Machine had run n number of finite operations then it never will; but the trouble is you don't know Chaitin's Constant and never can, so you can never know how big n is. So even though they have been running for a googoplex to the googoplex power years one of those programs could stop 5 seconds from now.
> Not if I waited, by chance or whatever, a time bigger than BB(100).
> If a decimal change after that, then we got a computable function growing more quickly than BB.
On 19 Jun 2012, at 19:41, John Clark wrote:
On Tue, Jun 19, 2012 at 6:01 AM, Bruno Marchal <mar...@ulb.ac.be> wrote:
>> Unlike the proton and neutron nobody has found any experimental evidence that the electron has a inner structure, that it is made of parts.
> The primitive matter I talk about is the idea of primary matter in the Aristotle sense
Aristotle was a great logician but a dreadful physicist.
> If I say that electron is not primitive, I don't mean it is made of part, almost the contrary, that it is a mathematical reality, or that it is reducible to a non physical mathematical or theological reality, an invariant in our sharable computations.
I don't know what that means. What experiment would I need to perform, what would a electron need to do to prove it was "primitive".
The electron cannot do that, but my pet amoeba cannot prove they are unicellular, despite they are.It is just that if matter is primitive (not explainable from non material relation) then we have to make it infinite to singularize consciousness.
With comp, we just abandon the idea of singularize consciousness in bodies, and then the bodies have to be explained in term of number relation.
It is more easy to understand that reversal at the epistemological level. Physical concepts are not primitive means that we can reduce them to non physical concepts, like those coming from theoretical (mathematical) computer science. It means that physics is not the fundamental science. Exactly like we can reduce biology to physics, we can reduce physics to the study of machine dreams.
>> To calculate the first 100 digits of Chaitin's constant you'd need to feed all programs that can be expressed in 100 bits or less into a Turing Machine and see how many of them stop and how many of then do not. Some of them will never stop but the only way to know how many is to wait a infinite number of years and then see how many programs are still running. So you'd need to be infinitely patient, in other words you'd need to be dead.
> Only to be sure of the decimals obtained.
Well yeah, it's easy to calculate Chaitin's constant if you don't mind getting it wrong.
After BB(100) computation steps, the decimals will be correct. I will not know it, but they are correct.
> If I relax that constraints, then I need only to be *very patient*. The non computable, but well defined Buzzy Beaver function (BB) bounds the time needed to wait. Of course it grows *very* fast. But I don't need an *infinite* time to get the 100 first digits correct. Any time bigger than BB(100) will do.
If we wait a googoplex to the googoplex power years some 100 bit programs will still be running, some of them could be Busy Beaver programs but others could just be very long finite programs. And in the same 1962 paper where Rado introduced the idea of the beaver he proved that a general algorithm to tell if a program is a Busy Beaver or not does not exist.
That is true for all programs. There is no algorithmic way to see if a program compute the factorial function. Again, this does not change anything in the argument.
It's true that if you knew the numerical value of Chaitin's Constant then you would know that if a 100 bit program had not stopped after a Turing Machine had run n number of finite operations then it never will; but the trouble is you don't know Chaitin's Constant and never can, so you can never know how big n is. So even though they have been running for a googoplex to the googoplex power years one of those programs could stop 5 seconds from now.
Not if I waited, by chance or whatever, a time bigger than BB(100). If a decimal change after that, then we got a computable function growing more quickly than BB.
And a Busy Beaver program grows faster than any computable function but to my knowledge it has not been proven that all non-computable functions grow as fast as the Busy Beaver.
That would be false. There are many non computable predicate, with non growing values.
> Lawrence Krauss in his book "A Universe From Nothing" says that someday something close to that might actually be possible.
> You mean? Deriving addition and multiplication from physics?
No, Krauss talks about deriving physics from addition and multiplication, or at least from logic; he talks about proving that in the multiverse only certain fundamental laws of physics are logically self consistent. He even talks about the distant dream of showing that "something" is consistent but "nothing" is not.
OK. Nice.
> That is impossible.
I think both Krauss and I would give the same response to that, maybe.
> Why do you use "gibberish" to condemn free will, and not to condemn event without cause?
Because the meaning of "a event without a cause" is clear and no circularity is involved.
Cause is a fuzzy notion, and so "non causal" is even more fuzzy.
Even the meaning of the question "what caused a event without a cause?" is clear, although it is a stupid question because the answer is so obvious. But the meaning of "free will" is anything but clear and circularity abounds.
In computer science, circularity is not a problem. We can eliminate it with the second recursion theorem of Kleene. Free-will seems to me rather clear, except that some philosopher defend a contradictory notion of free-will. I gave my definition of c-free-will, and I don't see why we should reject it.
Here means that, for each n, either both and are defined, and their values are equal, or else both are undefined."
And "why do we have free will?" is not a stupid question, its not smart and its not stupid and even though it contains a question mark it's not even a question, it's just a sequence of ASCII characters.
We agree that nc-free-will does not make sense, but you have not succeeded in convincing me that all notion of free-will is non sensical.
On 19 Jun 2012, at 20:25, Stephen P. King wrote:
On 6/19/2012 5:39 AM, Bruno Marchal wrote:
On 19 Jun 2012, at 08:01, Stephen P. King wrote:
On 6/18/2012 5:13 PM, Bruno Marchal wrote:
Brent, Stephen,
On 18 Jun 2012, at 18:55, Stephen P. King wrote:
On 6/18/2012 11:51 AM, meekerdb wrote:
On 6/18/2012 1:04 AM, Bruno Marchal wrote:
Because consciousness, to be relatively manifestable, introduced a separation between me and not me, and the "not me" below my substitution level get stable and persistent by the statistical interference between the infinitely many computations leading to my first person actual state.
How does on computation interfere with another? and how does that define a conscious stream of thought that is subjective agreement with other streams of thought?
Brent
They interfere statistically by the first person indeterminacy on UD* (or arithmetic).
Hi Bruno,
You seem to have an exact metric for this "measure" of "the first person indeterminacy on UD* (or arithmetic)".
Not at all. I only reduce the mind-body problem (including the body problem) into the problem of finding that metric. UDA must be seen as a proof of existence of that "metric" from the comp hypothesis. Then AUDA gives the logic of observable which is a step toward that metric isolation.
Dear Bruno,
What I fail to understand is how the currently well known and existing proofs of the non-existence of generic metrics on infinite sets that are, AFAIK, identical to your concept of computations (as strings of numbers) do not seem to impress you at all. It is as if your are willfully blind to evidence that contradicts your claims.
You should elaborate, and if you are correct then you can extend UDA in a refutation of comp.
I am sympathetic to your motivation and am interested in finding a path around this serious problem that I see in your reasoning.
I don't see the problem at all, to be honest. You are to vague, and then use term which are too precise.
My point here is that this claim that "UDA must be seen as a proof of existence of that "metric" from the comp hypothesis" has no epistemological "weight" if it cannot be associated with the other aspects of mathematics.
But it can. The "metric" is already on the horizon of the Z logics.And as i said, comp forces that "metric" to exist. If you can proof that it does not exist, then comp is wrong. There is no philosophical problem: only a mathematical problem, and if you have an argument that the mlathematical problem will be solved in the negative, then you can write a paper. It would be a refutation of comp, not of UDA which you would need to use to get your result.
One must show how one's new idea/discovery of mathematical "objects/relations" are related to the wider universe of mathematical objects and relations; or one is risking the path of solipsism.
I have tried to get your attention to look at various possibilities, such as the axiom of choice, non-well founded sets, the Tennenbaum theorem, etc. as possible hints to a path to the solution but you seem to be trapped in a thought, like light orbiting a black hole, endlessly repeating the same idea over and over. Would you snap out of it and see what I am trying to explain to you?
UDA is valid or not? You are like someone saying to the guy who proved that sqrt(2) is irrational things like "have you thought about real nulbers", etc.In science we prove things, for NOT having to repeat all the time.
What I need to understand is the reasoning behind your choice of set theory and arithmetic axioms;
I don't use set theory. Only elementary arithmetic. At the ontological level.
But Bruno, you are being disingenuous here. The phrase "only elementary arithmetic" is not all that is involved! in order to have a meaningful description of "only elementary arithmetic" one has to relate to a wider univerce of concepts and one must connect to the physical acts that support the experience of what numbers are.
If that is true, then logic makes no sense. You are again confusing levels. The ontology does not require the notion of sets. The theory is literally elementary arithmetic. I am not sure you understand what "theory" means for a logician.
At the meta-level I use all the math I need, like any scientist in any part of science.
I am not sure what that means.
The theory is elementary arithmetic. But I do not work, 99% of the time, in that theory. I work *on* that theory. The theory is the object of study, like in metamathematics. mathematicians, including logicians, never work in formal theory. We always work with common sense english.
after all there are many mutually-exclusive and yet self-consistent choices that can be made. Do you see a 1p feature that would allow you to known that preference is not biased?
As I said, I use arithmetic because natiural numbers are taught in high school, but any (Turing) universal will do.
Do you understand the idea that "natural numbers [as] ... taught in high school" does not have special ontological status?
?
I am trying to get you to think of numbers in a wider context.
the point is that neither the laws of consciousness, nor the laws of matter depend on the choice of the basic initial system, so I use the one that everybody knows.
So, does a consensus of belief grant special ontological status?
This does not make sense.
What else am I to think of the implication of the phrase "... that everybody knows".
Have you met someone saying that s(0) + s(0) is not s(s(0)) ?
I think you are talking like if I was doing philosophy. This confusion is frequent in the field, given that it works on a place traditionally reserved to philosophy. But I don't. You have to take the thing literally. Everybody knows the natural numbers because it is part of the hugh school curriculum.
Closed sets of communications are (representationally) studied in network, game and graph theory. From what I have read, finite versions of these reach equilibrium in at least log_2 N steps and once there never change again. This only illustrates the point that we have to consider open systems and those are such that they do not allow for exact closed form descriptions in math. This is a well known fact to any competent engineer.
And what does that change. A close system like arithmetic contains infinitely many open systems.
Sometimes I use the combinators or the lambda algebra. I don't use geometrical or physical system because that would be both a treachery, in our setting, and it would also be confusing for the complete derivation of the physical laws.
Nice excuse! LOL!
It is a key idea. Please study the work and make specific technical questions if you disagree with a point.
I don't see any point in your prose. I am never able to see if you have a problem with comp, or with the UD Argument and its conclusion.
And it remains to be seen if that defines a conscious stream of thought that is subjective agreement with other streams of thought.
If it does not have "subjective argeement" with other mutually exclusive then there would be a big problem. No?
No. It would be a refutation of comp+classical theory of knowledge (by UDA). That would be a formidable result.But the evidences available now, is that the physics derived from arithmetic, through comp+ usual definition of knowledge, is similar to the empirical physics (AUDA).
Exactly what does this mean? You keep repeating these words... How about finding a new set of words that has the same meaning? Truths are independent of particular representations!
I repeat the theorems, and have given the proofs. I repeat them because you seem to ignore them, and they play a big role in the debate.
Do you realize that you are asking Bruno the same question here that I have been asking him for a long time now? Exactly how do computations have any form of causal efficacy upon each other within an immaterialist scheme?
By the embedding of a large part of the constructive computer science in arithmetic.
What "part" is not embedded?
The non elementary, second order, or analytical part. It is not embedded in the number relations, but it appears in the mind of the universal numbers as tool to accelerate the self-study. It is epistemological.
So exactly how are numbers embedded themselves such that this second order aspect can have some measure of the logical analogue of causal efficasy (aka significance)? You are not avoiding the "other minds" problem here! One has to explain how minds can have any influence or even synchrony with each other.
Yes. We have to explain the color of the sky too, and the shape of Saturn annulus. Hire students.
Even Leibniz recognized this and postulated a "pre-established harmony" to account for it. It was a good try, but ultimately it failed for the simple reason that such a "pre-established harmony" is equivalent to the solution to an infinite NP-Complete computational problem.
We discuss this. NP completeness concerns the tractability issue and is not (yet) relevant. You keep escaping result by citing theorem which have no relevance.
You simply cannot ignore the implications of computational complexity!
I do not. But I do ignore tractability complexity.
There is a universal diophantine polynomial (I will say more on this on the FOAR list soon). Once you have a universal system, you get them all (with CT). I might identify a notion of cause with the notion of universal (or not) machine. Some existing number relation implements all the possible relations between all possible universal machine.
Universality (of computations) requires the existence of an equivalence class (modulo diffeomorphisms) of physical systems over which that computation is functionally equivalent. No?
?
Do I underestimate your ability to understand the English language? Do we need to go through the discussion of universality again? Really? OK, I will try to step though my reasoning slowly for you.
What does computational universality means if not some form of functional equivalence between a large (possibly infinite) set of physical systems?
Universality has nothing to do with physics. You can define it in Robinson arithmetic.
When we study General Relativity we discover something known as the "Hole Argument".
GR is not part of the theory. By construction I have to ignore what a physical system is, as we have to recover them from arithmetical dream. Please study the work, make precise your own assumption, and then let us see if your theory is comptaible or not with comp.
It ultimately shows the notion of "Leibniz Equivalence. If two distributions of fields are related by a smooth transformation, then they represent the same physical systems." (http://plato.stanford.edu/entries/spacetime-holearg/Leibniz_Equivalence.html)
I am assuming that the readers can understand that "sets of physical systems" (as considered in the notion of computational universality)
I insist. "computational universality" has just nothing to do with physics.
are connected to representations of physical systems by "distributions of fields" for my reasoning to be clear here. Perhaps I have not explained this and made the mistake of just assuming that it is understood that in physics we use mathematical objects to *represent* the physical objects of experience. It is how *representation* works that we seem to have differences in opinion.
How much more do I need to explain? You claim that universality is completely separable from physical systems. I disagree.
This is explained in *all* book of theoretical computer science. I am currently explaining this on the FOAR list.
If not, how is universality defined? Over a purely abstract set? What defines the axioms for that set?
You don't need set. You can define "universal" in arithmetic. I am starting an explanation of this on the FOAR list.
OK, I will continue to pay attention to your posts. :-)
Note that I have explain this more than once on the everything list.
You have to study the detail of Gödel's proof, or study Kleene's predicate, which translate computer science in arithmetic. For the non materialist, the problem is not to get interactions, the problem is not having too much of them.
Correct! You get an infinite regress of "interactions"! Way too many! In fact, I bet that you get at least a aleph_1 cardinal infinity. But what about the continuum hypothesis? Do you take it as true or false in your sets?
I don't care at all.
That is why I see your thesis as ultimately a failure. You are ignoring the very thing that causes problems for your idea.
You miss the methodology. I give proofs. This does not depend on anything not used in the proof, unless a step is invalid. Which one?
You cannot just assume that some kind of number is special without justification.
It is just obvious that computationalism makes natural number or integers more important. It is due to the "digital" aspect. The doctor will put your soul in a numeric form on some hard disk.
While it is true that a huge quantity of work has been done discovering the properties of recursively enumerable functions and integers does not by itself justify or offer a proof that they are somehow special, as Kronecker and others seem to which with their statements such as : "God made the integers; all else is the work of man." http://en.wikipedia.org/wiki/God_Created_the_Integers
Yes, with comp you can say "God made the integers, all the rest are integers' dreams". You must study the proof and explain which step is non valid if you think so.
If you take it as false then you obtain a very interesting thing in the number theory; it looks like all arithmetics are non-standard in some infinite limit! You have to have a means to necessitate a limit to finite sets. The requirement of Boolean satisfyability exactly gives us this "rule".
? (unclear).
Where does the existence of non-contradiction in logic obtain from? Mere or arbitrary postulation? No. It is necessary. But this necessity in the axiomatic sense that we see when we consider logic as an abstract entity does not transfer into or onto actual sets of propositions such as those that would accurately represent physical systems interacting with each other in our worlds of experience.
Are you postulating a primitive physical reality?
Keep in mind I submit a problem, for the computationalist. Not a solution., but precise problems. You can use the arithmetical quantization to test test the quantum tautologies.
We will see if there is or not some winning topological quantum computer on the border of numberland, as seen from inside all computations.
What physical experiment will measure this effect?
Well, here the physical events is the discovery of quantum computations in nature. That is what remain to be seen in the arithmetical physics. But we have already the quantization and a quantum logic.
Have you tried this: http://scholar.google.com/scholar?q=quantum+computation++photosynthesis&btnG=&hl=en&as_sdt=0%2C41&as_vis=1
I send that reference and similar on this list sometime ago. Interesting but not relevant. UDA works with quantum computation.
But how does the implementation of quantum computation in "natural" (as opposed to "man-made) systems prove your idea? So far I have shown you that there exists proofs that one cannot extract quantum logics from classical logics without serious moduli.
You make the same error again and again. We cannot enrich a quantum logic in a boolean framework, but we can represent it in boolean framework. That is why book on quantum logic are developed in boolean logic. Some classical modal logic can simulate some quantum logic, QM is a classical theory.And the Z logic gives an arithmetical quantum logic, so refute, also, your point.
On the other hand, we can extract plenums of classical (Boolean) logical algebras from a single quantum logical lattice (modulo sufficient dimensions). Why are you so eager to extract quantum from the classical?
UDA makes this obligatory.
If there is no physical effect correlated with the difference, then this idea is literally a figment of someone's imagination and nothing more. The physical implementation of a quantum computer is a physical event. I thought that your idea that computations are independent of all physicality was completely and causally independent from such. =-O
My argument is that a computational simulation is nothing more than "vaporware" (a figment of someone's imagination) until and unless there exists a plenum of physical systems that all can implement the "best possible version" of that simulation.
Arithmetic implements all computations already. And UDA explain that the physical emerges from that, and evidence are that the comp arithmetical physics can implement the quantum computations. They are just not primitive.
Your use of the word "Implements" is nonsensical. Any concept of implementation that is completely divorced from physical actions is nonsense as it cannot imply things that it is unable to by its definition.
Like "computational universality", "implementation" has nothing to do with physics. You could as well say that Euclid's argument that there is an infinity of prime numbers is invalid because it does not take physics into account.
When we recall that Wolfram defines the "real thing" as the "best possible simulation, we reach a conclusion. This "plenum" is the trace or action (???I am not sure???) of (on?) an equivalence class of spaces that are diffeomorphic to each *other under some ordering*. I am not certain of the wording of the first part of this, but I am absolutely certain of the latter part, "an equivalence class of spaces that are diffeomorphic to each *other under some ordering*" I am unassailably certain of.
Wolfralm is unaware of consciousness and first person indeterminacy.
So? We could equally claim that you do not understand the role of complexity in computations and thus be dismissive of your ideas, but we chose not to.
You do that all the time, but never show the relevance. But if you have a minimum grasp of UDA, you do know the importance of he first person indeterminacy in computationalism.
> Do you [Bruno] stand by that implication, that "matter is primitive" = "not explainable from non material relation"? This implies that: "matter is not primitive" = "explainable from non material relation".
> time is not just the number of steps, it is also the transitional flow from one step to another.
> I would really like to understand why it is that John Clark insists on this elimination attitude toward the referent of that "sequence of ASCII characters". It seems that he does not understand the ramifications of such a postulate! IMHO, it makes anything that claims to be produced by his mind to be a meaningless "sequence of ASCII characters" as it clearly cannot be the result of an act of "his" will. He can have no will