Re: The free will function

2012-02-15 Thread John Clark
On Tue, Feb 14, 2012  Bruno Marchal marc...@ulb.ac.be wrote:

 can a virtual typhoon makes you wet?


I don't know, it depends on whether you are in the same level of reality
as the typhoon. I do know for certain that a real typhoon can't make the
laws of physics wet because they exist at different levels, although I
don't really have a way of determining if the storm is real or not, all I
can do is tell if its at the same level as me or not. I can also say that
some things behave much the same regardless of what level they are in,
things like arithmetic and logic and consciousness.

  John K Clark

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Re: COMP theology

2012-02-15 Thread Bruno Marchal


On 15 Feb 2012, at 01:21, David Nyman wrote:


On 14 February 2012 20:00, Bruno Marchal marc...@ulb.ac.be wrote:


 The reductio demolishes the possibility of this
being true qua materia, because the relevant physical components
have, in effect, been rendered impotent.


Gosh? Why?



Bruno, I think we must be at cross-purposes.  I thought that the gist
of both your and Maudlin's reductio arguments is the absurdity of
associating conscious states with arbitrarily low or null physical
activity, if one assumes that matter is primitive.


Those reasoning are reductio ad absurdo starting from the physical  
supervenience thesis (PST).
The idea (used by comp materialist) is that consciousness is  
associated to the physical activity needed to accomplish a  
computation, then MGA/Maudlin shows that if that is true then  
consciousness can be associated with arbitrary physical activity, or  
even with null physical activity, showing the absurdity of the  
physical supervenience thesis.
Keeping comp we associate consciousness with the abstract computation,  
together with a weigh inherited by the natural redundancy of the  
somputations in the UD* or in arithmetic.


Note that the PST can be criticized along the line of a a critics of  
Searles Chinese room argument, because PST, by associating the  
consciousness to the physical level already makes a level confusion  
(but this will not convince a religious believer in the role of  
matter, and MGA get a more thorough contradiction.







Maudlin's
conclusion (retaining the primitiveness assumption): CTM is false.
Your conclusion: save CTM by reversing the relation of
matter-mechanism.  Isn't this how it goes?


Yes, maudlin and MGA shows that PST (or materialism) and COMP are  
incompatible.

Both reasoning shows the equivalent formula:

MAT - ~COMP
COMP - ~MAT
~MAT V ~COMP
~(MAT  COMP)

I was working in COMP, so I get ~MAT.






So now let's assume computational supervenience as you propose and
reconsider Maudlin's arguments.
Presumably we aren't now in a position
to deploy the same reductio argument with respect to primitively
physical activity, because surely the alternative of computational
supervenience was deployed precisely to save CTM by rescuing us from
that horn of the dilemma.


Yes. We are saved from the paradox/epistemological contradiction.




So my question was, in effect, what
implication would this have for saying yes to a doctor who proposed
a partial brain substitution by some such contrivance as that
described by Maudlin?  In short ;-)


From your 1p view, you survive in the reality (here: sheaf of  
computational histories) where your brains functions correctly,  
because the abstract computation (by definition of computation) has  
the correct counterfactuals.


And for the external observer, like the doctor, you (the first person)  
remain or not conscious as far as you behave correctly, but the  
consciousness is no more associated with any physical activity at (be  
it done by a brain or a movie graph). Your consciousness is associated  
with the sheaves of computation in arithmetic, no more with any  
physical activity, given that PST, and the idea of ontological matter  
is abandoned. The concrete brain/machine is needed only for your  
consciousness to be manifestable relatively to some sheaf of  
computations.


Now, this can only work, if the sheaf of computations has the good  
statistics justifying the persistence of the physical laws, by UDA1-7,  
but this means that the physical laws have to be justified in term of  
relative statistics on the computations. So physics continue to work  
(if comp is true), but is no more primitive. If the statistics on  
computations does not explains physics, then comp is refuted. The self- 
reference logics illustrate that physics might very well continue to  
work, despite we might think a priori that there exists too much  
aberrant histories.


OK?

Bruno





David



On 14 Feb 2012, at 17:52, David Nyman wrote:


On 14 February 2012 12:56, Bruno Marchal marc...@ulb.ac.be wrote:



David, Tell me is I have succeed to clarify this.



The initial postulate is that the either MG set-up, or Maudlin's
machine, instantiates an episode of consciousness in virtue of its
computational states.



Yes. More precisely, in virtue of a bet we make on some local UM (the
computer, the boolean laser graph) to relate those states  
relatively to us.








 The reductio demolishes the possibility of this
being true qua materia, because the relevant physical components
have, in effect, been rendered impotent.



Gosh? Why? It means just that we are at the place where we  
understand that

we will have to justify the persistent appearances of those physical
components from the computational structure (arithmetic).
We abandon physical supervenience, but we keep comp, so it is the  
place
where we associate our actual current mind no more to one  
phi_i(j)^k, say,
but to the infinity of one 

Re: COMP theology

2012-02-15 Thread David Nyman
On 15 February 2012 16:27, Bruno Marchal marc...@ulb.ac.be wrote:


 OK?


Thanks, that helped a lot.  Sorry about the initial misunderstanding.

David


 On 15 Feb 2012, at 01:21, David Nyman wrote:

 On 14 February 2012 20:00, Bruno Marchal marc...@ulb.ac.be wrote:

  The reductio demolishes the possibility of this
 being true qua materia, because the relevant physical components
 have, in effect, been rendered impotent.


 Gosh? Why?


 Bruno, I think we must be at cross-purposes.  I thought that the gist
 of both your and Maudlin's reductio arguments is the absurdity of
 associating conscious states with arbitrarily low or null physical
 activity, if one assumes that matter is primitive.


 Those reasoning are reductio ad absurdo starting from the physical
 supervenience thesis (PST).
 The idea (used by comp materialist) is that consciousness is associated to
 the physical activity needed to accomplish a computation, then MGA/Maudlin
 shows that if that is true then consciousness can be associated with
 arbitrary physical activity, or even with null physical activity, showing
 the absurdity of the physical supervenience thesis.
 Keeping comp we associate consciousness with the abstract computation,
 together with a weigh inherited by the natural redundancy of the
 somputations in the UD* or in arithmetic.

 Note that the PST can be criticized along the line of a a critics of Searles
 Chinese room argument, because PST, by associating the consciousness to the
 physical level already makes a level confusion (but this will not convince a
 religious believer in the role of matter, and MGA get a more thorough
 contradiction.






 Maudlin's
 conclusion (retaining the primitiveness assumption): CTM is false.
 Your conclusion: save CTM by reversing the relation of
 matter-mechanism.  Isn't this how it goes?


 Yes, maudlin and MGA shows that PST (or materialism) and COMP are
 incompatible.
 Both reasoning shows the equivalent formula:

 MAT - ~COMP
 COMP - ~MAT
 ~MAT V ~COMP
 ~(MAT  COMP)

 I was working in COMP, so I get ~MAT.






 So now let's assume computational supervenience as you propose and
 reconsider Maudlin's arguments.
 Presumably we aren't now in a position
 to deploy the same reductio argument with respect to primitively
 physical activity, because surely the alternative of computational
 supervenience was deployed precisely to save CTM by rescuing us from
 that horn of the dilemma.


 Yes. We are saved from the paradox/epistemological contradiction.




 So my question was, in effect, what
 implication would this have for saying yes to a doctor who proposed
 a partial brain substitution by some such contrivance as that
 described by Maudlin?  In short ;-)


 From your 1p view, you survive in the reality (here: sheaf of computational
 histories) where your brains functions correctly, because the abstract
 computation (by definition of computation) has the correct counterfactuals.

 And for the external observer, like the doctor, you (the first person)
 remain or not conscious as far as you behave correctly, but the
 consciousness is no more associated with any physical activity at (be it
 done by a brain or a movie graph). Your consciousness is associated with the
 sheaves of computation in arithmetic, no more with any physical activity,
 given that PST, and the idea of ontological matter is abandoned. The
 concrete brain/machine is needed only for your consciousness to be
 manifestable relatively to some sheaf of computations.

 Now, this can only work, if the sheaf of computations has the good
 statistics justifying the persistence of the physical laws, by UDA1-7, but
 this means that the physical laws have to be justified in term of relative
 statistics on the computations. So physics continue to work (if comp is
 true), but is no more primitive. If the statistics on computations does not
 explains physics, then comp is refuted. The self-reference logics illustrate
 that physics might very well continue to work, despite we might think a
 priori that there exists too much aberrant histories.

 OK?

 Bruno





 David


 On 14 Feb 2012, at 17:52, David Nyman wrote:

 On 14 February 2012 12:56, Bruno Marchal marc...@ulb.ac.be wrote:


 David, Tell me is I have succeed to clarify this.


 The initial postulate is that the either MG set-up, or Maudlin's
 machine, instantiates an episode of consciousness in virtue of its
 computational states.



 Yes. More precisely, in virtue of a bet we make on some local UM (the
 computer, the boolean laser graph) to relate those states relatively to
 us.






  The reductio demolishes the possibility of this
 being true qua materia, because the relevant physical components
 have, in effect, been rendered impotent.



 Gosh? Why? It means just that we are at the place where we understand
 that
 we will have to justify the persistent appearances of those physical
 components from the computational structure (arithmetic).
 We abandon physical supervenience, 

Re: Intelligence and consciousness

2012-02-15 Thread John Clark
On Mon, Feb 13, 2012  Craig Weinberg whatsons...@gmail.com wrote:

 TO HELL WITH ELIZA That prehistoric program is NOT intelligent!


  What makes you sure it isn't intelligent but that other programs are?


How the hell do you think?! ELIZA doesn't act intelligently but other
programs do. Nobody in their right mind would use ELIZA to help with
writing a scientific paper and doing serious research, but you might use
Watson or Siri.

 20mb of conversational Chinese might be enough to pass a Turing Test for
 a moderate amount of time.


Maybe, if a chimpanzee were performing the test.

 It's completely subjective.


Yes the Turing Test is subjective and it's flawed. Failing the Turing Test
proves nothing definitive, the subject may be smart as hell but simply not
want to answer your questions and prefer to remain silent. And
unsophisticated people might even be impressed by a program as brain dead
dumb as ELIZA. And people can fool us too, I think we've all met people who
for the first 10 minutes seem smart as hell but after 30 minutes you
realize they are pretentious dullards. So with all these flaws why do we
even bother with the Turing Test? Because despite its flaws it's the ONLY
tool we have, its the only way of determining intelligence from stupidity,
but if we are not very smart ourselves we will make lots of errors in
administering the test.

 If you haven't read it already, this link from Stephen may do a better
 job than I have of explaining my position:

 http://newempiricism.blogspot.com/2009/02/symbol-grounding-problem.html


And that fails the Turing Test because the author clearly thought that
Searle was a pretty smart man.

 You ask the room to produce a quantum theory of gravity and it does so,
 you ask it to output a new poem that a considerable fraction of the human
 race would consider to be very beautiful and it does so, you ask it to
 output a original fantasy children's novel that will be more popular than
 Harry Potter and it does so.


 No. The thought experiment is not about simulating omniscience. If you
 ask the room to produce anything outside of casual conversation, it would
 politely decline.


If that's all it could do, if it just produce streams of ELIZA style
evasive blather then it has not demonstrated any intelligence  so I would
have no reason to think it was intelligent so I would not think its
conscious so WHAT'S THE POINT OF THE THOUGHT EXPERIMENT?

 First you say 'let's say that the impossible Chinese Room was possible'.
 Then you say 'it still doesn't work because the Chinese Room isn't
 possible'.


What I said was that real computers don't work anything like the Chinese
Room, they don't have a copy of Shakespeare's Hamlet in which the letters
t and s are reversed (so be or nos so be shas it she quetsion) resting
in its memory just in case somebody requested such a thing, but if it had a
copy of the play as Shakespeare (or Thaketpeare) wrote it simple ways could
be found to produce it.


  The Chinese Room is just [...]


There you do again with the is just.

 'Where were you on the night of October 15, 2011'?


Well, your honor my brain was inside the head which was on top of the body
knocking over that liquor store, my mind was in a lingerie model's bedroom,
and then on the moons of Jupiter. My sense organs are always very close to
my brain but that is just a Evolutionary accident resulting from the fact
that nerve impulses travel much much slower than light and if they were far
from my brain the signal delay would have severely reduced the chances of
my ancestors surviving long enough to reproduce.


  There is a difference between organized matter and matter that wants to
 organize.


Carbon atoms want to organize into amino acids and amino acids want to
organize into proteins and proteins want to organize into cells and cells
want to organize into brains, but silicon atoms have no ambition and don't
want to organize into anything?? Do you really think that line of thought
will lead to anything productive?

 Why wouldn't he [Einstein] be aware of his own intelligence?


You tell me, you're the one who believes that intelligent things like smart
computers are unaware of their own intelligence.


  We don't have to imagine solipsism just because subjectivity isn't
 empirical.


But that only works for you, the existence of other minds can only be
inferred through behavior.

 You admit then that you are not interested in defining it [intelligence]
 as it actually is, but only what is convenient to investigate.


Convenient? If intelligence does not mean doing intelligent things then I
don't see why anyone would be interested in it and don't even see the need
for the word.

 You can't water corn with sulfuric acid


You can if you change the organization of the acid a little. Sulfuric acid
is H2SO4, remove the sulfur and 3 oxygen atoms and the result is H2O, and
you can water corn with water just fine. In a similar way the only
difference between a cadaver and 

Re: 1p 3p comparison

2012-02-15 Thread Craig Weinberg
On Feb 14, 5:44 pm, Bruno Marchal marc...@ulb.ac.be wrote:
 On 14 Feb 2012, at 20:17, Craig Weinberg wrote:


  It's not clear to me what the difference would really be between
  emerging from truth and embodying logic.

 You tell me. Emerging from arithmetical truth just means true in
 arithmetic, or proved by some correct UMs, etc. It is standard
 terms for logicians, engineers, etc.

And it makes perfect sense in that context, but the idea of something
being true doesn't cause something to suddenly occur in the experience
of people (or whoever lives through cells or atoms) in the universe. I
can say that scoring a basket in basketball it worth two points, and
that is true in basketball, but that truth does not literally cause a
ball to do something to a basket.

 With comp, first person views are
 more complex, due to the first person dissemination in infinities of
 computations, which needs more subtle internal limit, but again comp
 has a tool which is computer science and math. I prefer to search a
 key under a lamp.

If you are looking for a key that can only be seen when it glows in
the dark, then the lamp is exactly what you can't use to search for
it.




  I already got an answer. I don't know if it is the true one, but I
  know it follows from comp.

  How does it really answer what blue is though? Comp can only point to
  a function that would match the function of qualia in general, but no
  specific characteristics. To comp, blue is no different from sour. It
  might specify *that* two qualia would have different values, but it
  has no way to describe in what way the experience differs.

 That's just free negative speculation. Blue is a quasi singularize
 deep experience involving collection of experiences, and having some
 non communicable quality, says the machine.

I don't think blue need involve more than one experience and it need
not be a deep experience. If you live for one second and see the sky,
you have seen blue. The idea of blue being non communicable is not so
simple though. Two people who know blue can communicate about it
easily, just as mathematicians can communicate about arithmetic
easily. The only difference is that arithmetic can be applied to other
frames of reference outside of our direct experience but blue cannot.
Instead blue can be applied figuratively within our own interiority.
We can say we feel blue for sadness, red for anger, green for envy,
yellow for cowardice, etc. These vary somewhat from culture to
culture, but no culture as far as I know says they feel five for
sadness, one for anger, four for envy, etc.

 Of course if you treat the machine as a zombie, there are few sense
 that you will ever listening to her.

No zombie...puppet. It insults machines to call them zombies - or it
would, if they weren't puppets.




  Logic is always an a posteriori analysis

  No doubt on this. But arithmetical truth does not depend on logic.

  What does it depend on?

 That's a mystery. The question is: do you believe in it. Does the
 theorem of Fermat story makes sense. Does the problem of the
 distribution of prime numbers make sense to you.
 All introspecting UMs is confronted to that mystery, and understand
 that IF they are correct machine, then that mystery is insoluble.

That's why I say sense is primitive and not arithmetic. Arithmetic is
only real because it makes sense, but sense is not limited to
arithmetic.




  Logic is used in *theories*, or by *machines or beings*  attempting
  to
  get a tiny bit of the arithmetical truth.

  and never precedes
  or causes a sense experience (outside of more verbal-symbolic sense
  experiences). Logic and arithmetic is a late afterthought in the
  history of the development of the psyche and is always rooted in
  emotion and sensation first, both individually and evolutionarily.
  What must we assume to become ourselves? What must we assume to feel
  the wind? Nothing.

  What if, to feel the wind, the brain has to make many unconscious
  assumptions?

  Then it's an infinite regress of unconscious assumptions that neurons,
  molecules, atoms, and quantum has to make.

 Why an infinite regress?

Because each assumption supervenes upon a more primitive layer of
assumption. If the bottom layer can arbitrarily make initial
assumptions, then why not any or all layers? Why is the brain taking
orders from cells any better of an explanation than the brain taking
orders from itself?


  It forces an infinitely
  efficacious microcosmic reality with a whole universe of arbitrary
  spectator illusions. My thinking is that there is no reason to presume
  that our relative size and complexity makes us any less grounded in
  absolute reality. We are direct participants in the universe as much
  as the brain is.

 That's about how I see the thing. All UMs are grounded in the absolute
 arithmetical reality.

That's the other way of looking at it, but once you have arithmetic
reality, there doesn't seem to be any point to embodied 

Re: Intelligence and consciousness

2012-02-15 Thread Craig Weinberg
On Feb 15, 1:22 pm, John Clark johnkcl...@gmail.com wrote:
 On Mon, Feb 13, 2012  Craig Weinberg whatsons...@gmail.com wrote:

  TO HELL WITH ELIZA That prehistoric program is NOT intelligent!

   What makes you sure it isn't intelligent but that other programs are?

 How the hell do you think?! ELIZA doesn't act intelligently but other
 programs do. Nobody in their right mind would use ELIZA to help with
 writing a scientific paper and doing serious research, but you might use
 Watson or Siri.

Obviously Watson or Siri give you access to intelligence, but so does
a book. Would you say that an almanac is more intelligent than a book
of poems? Does the IQ of a book change when you turn it upside down?
I'm trying to point out that what you associate with intelligence
figuratively does not correspond to literal capacity for intelligent
reasoning.


  20mb of conversational Chinese might be enough to pass a Turing Test for
  a moderate amount of time.

 Maybe, if a chimpanzee were performing the test.

Yes.


  It's completely subjective.

 Yes the Turing Test is subjective and it's flawed. Failing the Turing Test
 proves nothing definitive, the subject may be smart as hell but simply not
 want to answer your questions and prefer to remain silent. And
 unsophisticated people might even be impressed by a program as brain dead
 dumb as ELIZA. And people can fool us too, I think we've all met people who
 for the first 10 minutes seem smart as hell but after 30 minutes you
 realize they are pretentious dullards.

That's my point. But eventually we do realize they are dullards - or
machines.

So with all these flaws why do we
 even bother with the Turing Test? Because despite its flaws it's the ONLY
 tool we have, its the only way of determining intelligence from stupidity,
 but if we are not very smart ourselves we will make lots of errors in
 administering the test.

You might consider that we don't need a test. That intelligence is
fundamentally different than muscle strength or height.


  If you haven't read it already, this link from Stephen may do a better
  job than I have of explaining my position:

 http://newempiricism.blogspot.com/2009/02/symbol-grounding-problem.html

 And that fails the Turing Test because the author clearly thought that
 Searle was a pretty smart man.

He doesn't have to be smart to be right about the Chinese room. Even
if possibly for the wrong reason.


  You ask the room to produce a quantum theory of gravity and it does so,
  you ask it to output a new poem that a considerable fraction of the human
  race would consider to be very beautiful and it does so, you ask it to
  output a original fantasy children's novel that will be more popular than
  Harry Potter and it does so.

  No. The thought experiment is not about simulating omniscience. If you
  ask the room to produce anything outside of casual conversation, it would
  politely decline.

 If that's all it could do, if it just produce streams of ELIZA style
 evasive blather then it has not demonstrated any intelligence  so I would
 have no reason to think it was intelligent so I would not think its
 conscious so WHAT'S THE POINT OF THE THOUGHT EXPERIMENT?

It would demonstrate X intelligence for t duration to Z audience.
Which is all any intelligence could hope to accomplish.


  First you say 'let's say that the impossible Chinese Room was possible'.
  Then you say 'it still doesn't work because the Chinese Room isn't
  possible'.

 What I said was that real computers don't work anything like the Chinese
 Room, they don't have a copy of Shakespeare's Hamlet in which the letters
 t and s are reversed (so be or nos so be shas it she quetsion) resting
 in its memory just in case somebody requested such a thing, but if it had a
 copy of the play as Shakespeare (or Thaketpeare) wrote it simple ways could
 be found to produce it.

That's helpful but it is still the programmer's intelligence that is
reflected in the program, not the computer's. Which is the whole
point.


   The Chinese Room is just [...]

 There you do again with the is just.

  'Where were you on the night of October 15, 2011'?

 Well, your honor my brain was inside the head which was on top of the body
 knocking over that liquor store, my mind was in a lingerie model's bedroom,
 and then on the moons of Jupiter. My sense organs are always very close to
 my brain but that is just a Evolutionary accident resulting from the fact
 that nerve impulses travel much much slower than light and if they were far
 from my brain the signal delay would have severely reduced the chances of
 my ancestors surviving long enough to reproduce.

Ah, then you shouldn't mind if we put your body in prison.


   There is a difference between organized matter and matter that wants to
  organize.

 Carbon atoms want to organize into amino acids and amino acids want to
 organize into proteins and proteins want to organize into cells and cells
 want to organize into brains, but silicon 

Re: On Pre-existing Fields

2012-02-15 Thread acw

On 2/14/2012 13:45, Stephen P. King wrote:

On 2/14/2012 5:13 AM, acw wrote:


How does the existence on an entity determine its properties? Please
answer this question. What do soundness and consistency even mean
when there does not exist an unassailable way of defining what they are?
Look carefully at what is required for a proof, don't ignore the need to
be able to communicate the proof.

Soundness and consistency have precise definitions. If you want an
absolute definition of consistency, it could be seen as a particular
machine never halting. Due to circularity of any such definitions, one
has to take some notion of abstract computation fundamental (for
example through arithmetic or combinators or ...)

Dear ACW,

I do like this definition of consistency as an (abstract) machine that
never halts (its computation of itself). I like it a lot! We can use the
language of hypersets
http://en.wikipedia.org/wiki/Non-well-founded_set_theory to get
consistent definitions in spite of the circularity. Ben Goertzel wrote a
very nice paper that outlines the idea:
goertzel.org/consciousness/consciousness_paper.pdf Ben Goertzel is one
smart dude!

Using hypersets to talk about such self-similar concepts sounds fine.
That's a pretty interesting paper. I've read some of Ben Geortzel's 
other work before (mostly in the field of AGI), his ideas and work are 
quite interesting.


Getting back to my basic question: How is it that the mere existence of
an entity gives it a definition? The usual notion of a definition of a
word is what is found to the right of a word listed in a dictionary,
but are we going beyond that notion?

If something does have existence, I will tend to assume it also has a 
consistent definition (even if we're not aware of it yet), although some 
things might either be undefinable in simpler terms (for example 
arithmetic) or they might require stronger theories than themselves to 
define them (such as arithmetical truth). The dictionary meaning of the 
word is too narrow, a better way of thinking about it is to think about 
what 'is' means. More precise definitions of the concept of definition 
can be given in more precise languages than English (such as programming 
languages), but that might be again too restrictive.

How come that one definition and not some other or even a class of
definitions?
There may be many equivalent definitions, possibly even an infinity of 
them.

Am I incorrect in thinking that definitions are a set of
relations that are built up by observers though the process of
observation of the world and communicating with each other about the
possible content of their individual observations?
You're not incorrect, but that's just the act of inferring or inducing a 
definition. However, something can have existence and should also have a 
proper definition (in some language) even if you haven't reached it. 
Someone does some reasoning and gives some pattern some name. I claim 
that the pattern's existence is independent of that person giving it a 
name. A person might not be able to properly communicate the pattern to 
others without introducing the pattern to others, but the pattern exists 
- their own bodies, world, knowledge, ... are such patterns.

This is, after all,
how dictionaries are formed (modulo the printing process, etc.)... When
I am thinking of the existence of an entity, I am not considering that
it is observed or that observation or measurement by an automated system
occurred or anything else that might yield a definite count of what the
properties of an entity are; I am just considering its existence per se.
So I guess that I am not being clear...

Okay.

How does the mere existence of an entity act in any way as an
observation of itself? Why that question? B/c it seems to me that that
is what is required to have a consistent notion of an entity having
properties merely by existing. So maybe you are thinking of what a
hyperset is without realizing it!
Hmm, you're right! Hypersets and hyperset-like concepts are quite 
common, especially in knowledge-representation.


Onward!

Stephen



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