Re: The limit of all computations

2012-05-27 Thread Evgenii Rudnyi

On 26.05.2012 21:06 Bruno Marchal said the following:


On 26 May 2012, at 16:48, Evgenii Rudnyi wrote:


On 26.05.2012 11:30 Bruno Marchal said the following:


On 26 May 2012, at 08:47, Evgenii Rudnyi wrote:


...


In my view, it would be nicer to treat such a question
historically. Your position based on your theorem, after all,
is one of possible positions.


What do you mean by my position? I don't think I defend a
position. I do study the consequence of comp, if only to give a
chance to a real non-comp theory.


A position that the natural numbers are the foundation of the
world.


I don't defend that position. I show it to be a consequence of the
comp hypothesis + occam razor.


I do appreciate the clearness of your position. From this viewpoint, the 
language of mathematics allows us to remove ambiguities indeed.


...



When we talk with each other and make proofs we use a human
language. Hence to make sure that we can make universal proofs by
means of a human language, it might be good to reach an agreement
on what it is.


This is an impossible task. That is why I use the semi-axiomatic
method (in UDA), and math in AUDA. If you disagree with a method of
reasoning, you have to explain why. In english, no problem.


I also agree that human language in a way is a mess. Yet, somehow it 
seems to work and this puzzles my, how it could happen when even 
mathematicians failed to analyze it.


...


I am not against non-comp, but I am against any gap-theory, where
we introduce something in the ontology to make a problem
unsolvable leading to don't ask policy.


We are back to a human language. It seems that you mean that some
constructions expressed by it do not make sense. It well might be
but again we have to discuss the language then.


I don't see why we have to discuss language, apart from the machines
and their languages.


It seems that there is a gap between the language of mathematics and a 
human language. It might be interesting to understand it. It might give 
us a hint on how the Universe is made. You see, we must use a human 
language to communicate, with the language of mathematics this would not 
work. I do not know why.




As for comp, I have written once

Simulation Hypothesis and Simulation Technology
http://blog.rudnyi.ru/2011/09/simulation-hypothesis-and-simulation-technology.html



that practically speaking it just does not work. I understand that
you talk in principle but how could we know if comp in principle is
true if we cannot check it in practice?


The whole point is that we can check it, at least if you accept the
classical theory of knowledge. Physics arise from number
self-reference in a precise constrained way, and the logic of
observable already give rise to quantum-like logic. If mechanism is
false, we can know it. If it is true we can only bet on it, and the
bet or not on some level of substitution. The facts (Everett QM)
gives evidence that our first person plural is given by the
electronic orbital, our stories does not depend on the precise
position of electron in those orbitals.




I personally find an extrapolation of a working model outside of
its scope that has been researched pretty dangerous.


I am just showing that computationalism (widespread) and materialism
 (widespread) are incompatible. I reason only, and I extrapolate less
 than Aristotelians.


I am afraid that reason only is not enough to understand Nature. I am 
browsing now The Soul of Science: Christian Faith and Natural 
Philosophy. Let me give a quote that in an enjoyable way expresses my 
thought above.


p. 19 In 1277 Etienne Tempier, Bishop of Paris, issued a condemnation 
of several theses derived from Aristotelianism - that God could not 
allow any form of planetary motion other than circular, that He could 
not make a vacuum, and many more. The condemnation of 1277 helped 
inspire a form of theology known as voluntarism, which admitted no 
limitations on God’s power. It regarded natural law not as Forms 
inherent within nature but as divine commands imposed from outside 
nature. Voluntarism insisted that the structure of the universe - 
indeed, its very existence - is not rationally necessary but is 
contingent upon the free and transcendent will of God.


One of the most important consequences of voluntarist theology for 
science is that it helped to inspire and justify an experimental 
methodology. For if God created freely rather than by logical necessity, 
then we cannot gain knowledge of it by logical deduction (which traces 
necessary connections). Instead, we have to go out and look, to observe 
and experiment. As Barbour puts it:


'The world is orderly and dependable because God is trustworthy and not 
capricious; but the details of the world must be found by observation 
rather than rational deduction because God is free and did not have to 
create any particular kind of universe.'


Evgenii

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Re: The limit of all computations

2012-05-27 Thread Russell Standish
On Thu, May 24, 2012 at 03:42:15PM +0200, Bruno Marchal wrote:
 
 But a = Ba is a valid rule for all logic having a Kripke
 semantics. Why? Because it means that a is supposed to be valid (for
 example you have already prove it), so a, like any theorem,  will be
 true in all worlds, so a will be in particular true in all worlds
 accessible from anywhere in the model, so Ba will be true in all
 worlds of the model, so Ba is also a theorem.

I still don't follow. If I have proved a is true in some world, why
should I infer that it is true in all worlds? What am I missing?


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Prof Russell Standish  Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Professor of Mathematics  hpco...@hpcoders.com.au
University of New South Wales  http://www.hpcoders.com.au


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Re: Free will in MWI

2012-05-27 Thread Craig Weinberg
On May 26, 1:42 pm, John Clark johnkcl...@gmail.com wrote:
 On Sat, May 26, 2012  Craig Weinberg whatsons...@gmail.com wrote:

  I nominate does not 'happen for a reason'

 Then what you nominate is as random as it is idiotic. Idiots do things for
 no reason, smart people do things for reasons.

How does being an idiot allow you to to things for no reason? Does low
intelligence make you exempt from determinism?


  the reason happens for my nomination.

 Read that again and explain to me what the hell it means.

It means that If I nominate Bob for president, then the reason that
Bob is in the presidential race now is because I nominated him. It's
pretty straightforward.


  Read Bruno's answer. Free will is just will with degrees of freedom.

 So free will is a will that is free and a klogknee backstanator is a
 backstanator that is klogknee.

Now you claim not to understand either words will or free? This
sophistry appears to be malignant.


  What is wrong with that?

   I admit it's true, all circular definitions are true, but they are
 somewhat lacking in usefulness.

How could you know whether it's circular or not when you claim not to
understand either term?


  If you are trapped in a cage, you have will but not a lot of free will.
  Why is that so difficult to admit?

 I admit that if I'm trapped in a cage I can't do what my will wants me to
 do, and I admit that whatever it is my will wants me to do it does so for a
 reason or it does not.

But you can't do what your will wants you to do anyways even outside
of a cage. Doing or not doing what your will wants you to do is free
will. When that power to decide is taken away by a cage, what has been
lost? Freedom.


   Without free will, there could be no important distinction between being
  a slave and being free.

 Cannot comment, don't know what ASCII string free will means and neither
 do you.

You stand corrected.


   I suspect that I may have solved the hard problem of consciousness.

 I'll alert the press.

They have been alerted already. I'm doing a radio show on Tuesday.


   I admit that some things happen for no reason, some things are random.

   So your opinions are random.

 That's not what I said.

  Why debate them?

 Again you're asking me the reasons I do things, you're demanding to know
 what caused me to do stuff, but this time you're asking the reason there is
 no reason and I have no reasonable answer except that's the way my brain is
 wired.

Yes, your brain is wired to support free will.


  you are colorblind to free will,

 Cannot comment, don't know what ASCII string free will means and neither
 do you.

How do you know what I know? Are you telepathic?


  you will have to take my word in all matters relating to free will.

 NO you are entirely wrong, I don't have to do any such thing. I choose not
 to take your word

You can't choose whether to choose to take my word or not, you have no
free will. You are a puppet of any force that happens to run across
the algorithm that you are.

 on the merits of that silly free will noise; and of one
 thing you can be absolutely certain, I made that choice for a reason or I
 made that choice for no reason.

Then it wasn't you who was making a choice. The reason made the choice
and it made you believe you made it. You aren't allowed to say that
you make choices.


  It doesn't matter what the reason is. If there really is a reason then
  it's deterministic if there is no reason then it's random.

   If you don't know what the reason is, then how can you claim that reason
  must be deterministic.

 Because the defining characteristic of reason is determinism, if you get a
 different output every time you feed in the identical input then it's not
 reason and it's not deterministic.

It can also be just the opposite. If you ask Rain Man a question and
he responds by reciting 'Who's on First' every time, that doesn't make
it a reasonable answer, it makes it an autistic reflex.


   conditions don't give water much opportunity to express anything like

  free will.

 Cannot comment, don't know what ASCII string free will means and neither
 do you.

Speaking of autistic reflexes.


  In what possible way is that not free will?

 Cannot comment, don't know what ASCII string free will means and neither
 do you.

The telepathic autistic wins again...in his mind.


   my free will determines what is deterministic.

 Then if this thing called free will determines that jumping off the 40'th
 floor will not deterministically cause you to turn into a greasy splat on
 the sidewalk far below then it would be safe to make such a jump. Good luck
 with that.

Free will doesn't have to determine everything in the universe, just
determining how my brain operates the voluntary muscles of my body is
enough.

Craig

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Re: was Relativity of Existence

2012-05-27 Thread Bruno Marchal


On 27 May 2012, at 00:06, meekerdb wrote:


On 5/26/2012 9:35 AM, John Mikes wrote:


Brent wrote:

1. Presumably those true things would not be 'real'.  Only provable  
things would be true of reality.


Just to be clear, I didn't write 1. above.  But I did write 2. below.


Ah OK. Sorry. I have been wrong on that.





2. Does arithmetic have 'finite information content'?  Is the axiom  
of succession just one or is it a schema of infinitely many axioms?


Appreciable, even in layman's logic.

In '#1' -  I question provable since in my agnosticism an  
'evidence' is partial only, leaving open lots of (so far?) unknown/ 
able aspects to be covered. In the infinity(?) of the world also  
the contrary of an evidence may be 'true'.


As Bruno said, Provable is always relative to some axioms and rules  
of inference.  It is quite independent of true of reality.   Which  
is why I'm highly suspicious of ideas like deriving all of reality  
from arithmetic, which we know only from axioms and inferences.


We don't give axioms and inference rule when teaching arithmetic in  
high school. We start from simple examples, like fingers, days of the  
week, candies in a bag, etc. Children understand anniversary before  
successor, and the finite/infinite distinction is as old as humanity.
In fact it can be shown that the intuition of numbers, addition and  
multiplication included, is *needed* to even understand what axioms  
and inference can be, making arithmetic necessarily known before any  
formal machinery is posited.


Bruno






#2 is a technically precise formulation of what I tried to express  
in my post to Bruno.
IFF!!! anything  (i.e. everything) can be expressed by numerals,  
the information included into arithmetic  IS infinite,


I see no reason to suppose that.  Everything ever expressed so far  
has been done with a finite part of arithmetic. Assuming every  
integer has a successor is just a convenience for modeling things;  
you don't have to worry about running out of counters.  There is a  
book Ad Infinitum, The Ghost in Turing's Machine by Rotman that  
proposes what he calls non-euclidean arithmetic which does not  
assume the integers are infinite.  I can't really recommend the book  
because most of it is written in the style of French  
deconstructionist philosophy, but the Appendix has some interesting  
ideas.


however as it seems: in our (restricted) view of the  
world (Nature?) there seem to be NO numbers to begin with.
In our human 'translation' we see 1,2, or 145, or a million OF  
SOMETHING - no the (integer?) numerals.


Axioms? in my vocabulary: imagined things, necessary for certain  
theories we cannot substantiate otherwise.


Axioms are just part of a logical, i.e. self-consistent, system.  
Mathematicians don't even care if they are true of reality.  They  
may or may not refer to imagined things; they are just assumed true  
for some inferences.  I could take I am typing on a keyboard as an  
axiom, which I also happen to think is true, or I could take I am a  
projection in a Hilbert space which might be true, but is much more  
dubious.


In another logic than human, in another figment of a physical  
world different axioms would serve science.


Logic is about the relations of propositions, statements in  
language.  Humans already have invented different logics.


2+2=4? not necessarily in the (fictitious) octimality of the  
'[Zarathustran' aliens in the Cohen-Stewart books

(still product of human minds).


2+2=11

Brent
The world consists of 10 kinds of people.  Those who think in  
binary and those who don't.




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Re: The Relativity of Existence

2012-05-27 Thread Bruno Marchal


On 27 May 2012, at 01:41, meekerdb wrote:


On 5/26/2012 12:11 PM, Bruno Marchal wrote:


On 26 May 2012, at 17:56, meekerdb wrote:


On 5/26/2012 2:16 AM, Bruno Marchal wrote:


On 02 Mar 2012, at 06:18, meekerdb wrote (two month agao):


On 3/1/2012 7:37 PM, Richard Ruquist wrote:



Excerpt: Any system with finite information content that is  
consistent can be formalized into an axiomatic system, for  
example by using one axiom to assert the truth of each  
independent piece of information. Thus, assuming that our  
reality has finite information content, there must be an  
axiomatic system that is
isomorphic to our reality, where every true thing about reality  
can be proved as a theorem from the axioms of that system


Doesn't this thinking contradict Goedel's Incompleteness  
theorem for consistent systems because there are true things  
about consistent systems that cannot be derived from its  
axioms?  Richard


Presumably those true things would not be 'real'.  Only provable  
things would be true of reality.


Provable depends on the theory. If the theory is unsound, what it  
proves might well be false.


And if you trust the theory, then you know that the theory is  
consistent is true, yet the theory itself cannot prove it, so  
reality is larger that what you can prove in that theory.


So in any case truth is larger than the theory. Even when truth  
is restricted to arithmetical propositions. Notably because the  
statement the theory is consistent can be translated into an  
arithmetical proposition.


Bruno


Does arithmetic have 'finite information content'?  Is the axiom  
of succession just one or is it a schema of infinitely many axioms?


Arithmetical truth has infinite information content.


That's what I thought.  So the above Excerpt does not contradict  
Godel's incompleteness because it refers to systems with finite  
information content.


Gödel's theorem applies also to many systems with infinite information  
content. Even arithmetical truth itself is undecided on many second  
order arithmetical propositions, and some occurs naturally like in the  
G* (first order) modal logic.


Arithmetic has few information content, but arithmetic seen from  
inside as an infinite (and beyond!) information content. This should  
be the case for any proposed TOE.







Peano Arithmetic has about 5K of information content,


Which is just the information in the axioms (actually that number  
seems high to me).


OK. (I said 5K to imply it is very little, but 5K is much too much  
indeed). Note that my computer already uses 4K for an empty document,  
but that kind of thing is very contingent.


Bruno




Brent

even with the infinitely many induction axioms, for they are simple  
to generate. There are two succession axioms (0 ≠ s(x), and s(x) =  
s(y) .- x = y. Those are not scheme of axioms.


Bruno



http://iridia.ulb.ac.be/~marchal/





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Re: Max Velmans' Reflexive Monism

2012-05-27 Thread Richard Ruquist
Velmans introduces perceptual projection but this remains as the Hard
Problem in his book, how exactly perceptual projection happens-Evgenii
Rudnyi

I conjecture that the discrete nonphysical particles of compactified space,
the so-called Calabi-Yau Manifolds of string theory, have perceptual
projection due to the mapping of closed strings, something that Leibniz
hypothesized for his monads centuries ago.
http://vixra.org/pdf/1101.0044v1.pdf
Richard David

On Sun, May 27, 2012 at 1:50 AM, Stephen P. King stephe...@charter.netwrote:

 On 5/26/2012 11:57 AM, Evgenii Rudnyi wrote:

 I have just finished reading Understanding Consciousness by Max Velmans
 and below there are a couple of comments to the book.

 The book is similar to Jeffrey Gray's Consciousness: Creeping up on the
 Hard Problem in a sense that it takes phenomenal consciousness seriously.
 Let me give an example. Imagine that you watch yourself in the mirror. Your
 image that you observe in the mirror is an example of phenomenal
 consciousness.

 The difference with Jeffrey Gray is in the question where the image that
 you see in the mirror is located. If we take a conventional way of
 thinking, that is,

 1) photons are reflected by the mirror
 2) neurons in retina are excited
 3) natural neural nets starts information processing

 then the answer should be that this image is in your brain. It seems to
 be logical as, after all, we know that there is nothing after the mirror.

 However, it immediately follows that not only your image in the mirror is
 in your brain but rather everything that your see is also in your brain.
 This is exactly what one finds in Gray's book The world is inside the
 head.

 Velmans takes a different position that he calls reflexive model of
 perception. According to him, what we consciously experience is located
 exactly where we experience it. In other words, the image that you see in
 the mirror is located after the mirror and not in your brain. A nice
 picture that explains Velmans' idea is at

 http://blog.rudnyi.ru/2012/05/**brain-and-world.htmlhttp://blog.rudnyi.ru/2012/05/brain-and-world.html

 Velmans introduces perceptual projection but this remains as the Hard
 Problem in his book, how exactly perceptual projection happens.

 Velmans contrast his model with reductionism (physicalism) and dualism
 and interestingly enough he finds many common features between reductionism
 and dualism. For example, the image in the mirror will be in the brain
 according to both reductionism and dualism. This part could be interesting
 for Stephen.


 Hi Evgenii,

I would be very interested if Velmans discussed how the model would
 consider multiple observers of the image in the mirror and how the images
 that are in the brains of the many are coordinated such that there is
 always a single consistent world of mirrors and brains and so forth.


 First I thought that perceptual projection could be interpreted similar
 to Craig's senses but it is not the case. Velmans' reflexive monism is
 based on a statement that first- and third-person views cannot be combined
 (this is what Bruno says). From a third-person view, one observes neural
 correlates of consciousness but not the first-person view. Now I understand
 such a position much better.


Is this third-person view (3p) one that is not ever the actual
 first-person (1p) of some actual observer? I can only directly experience
 my own content of consciousness, so the content of someone else is always
 only known via some description. How is this idea considered, if at all?


 Anyway the the last chapter in the book is Self-consciousness in a
 reflexive universe.


I am interested in communications between self-conscious entities in a
 reflexive universe. ;-) Does Velmans discuss any abstract models of
 reflexivity itself?


 Evgenii



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 Onward!

 Stephen

 Nature, to be commanded, must be obeyed.
 ~ Francis Bacon


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Re: The limit of all computations

2012-05-27 Thread Bruno Marchal


On 27 May 2012, at 12:15, Russell Standish wrote:


On Thu, May 24, 2012 at 03:42:15PM +0200, Bruno Marchal wrote:


But a = Ba is a valid rule for all logic having a Kripke
semantics. Why? Because it means that a is supposed to be valid (for
example you have already prove it), so a, like any theorem,  will be
true in all worlds, so a will be in particular true in all worlds
accessible from anywhere in the model, so Ba will be true in all
worlds of the model, so Ba is also a theorem.


I still don't follow. If I have proved a is true in some world, why
should I infer that it is true in all worlds? What am I missing?


1) You might be missing the soundness theorem, perhaps.

I give an example with classical propositional logic. Suppose that you  
prove some formula, like (p  q)-q, then automatically the formula is  
true in all propositional worlds (which are given by the valuation of  
the atomic propositions).
Indeed you can verify that (p  q)-q is true in the four type of  
possible worlds (those with p true and q true, p true and q false, p  
false and q true, and p false and q false).


That is related to the idea that a valid proof does not depend on the  
world, or interpretations, or contexts, etc. So if you prove something  
it has to be true in all world, and that is why logicians favor  
theories having a semantics such that they can prove a soundness  
theorem. Of course they are even more happy when they have a theory  
with a completeness theorem, which provides the opposite: all  
proposition true in all interpretations (model, worlds, ...) can be  
proved in the theory. This is the case for all first order theory. So  
RA, PA, ZF are complete in that sense. M proves p iff p is true in all  
models (interpretation, worlds) of p. Of course they are incomplete in  
the incompleteness sense. Gödel proved the completeness theory PA,  
and actually of all first order theories (in his PhD thesis, 1930),  
and the incompleteness of PA (actually of PM, 1931).
So completeness in completeness theorem and incompleteness theorem,  
is used in different sense:


Keep in mind that the completeness theorem asserts that if M proves p,  
then p is true in all models of M.


OK?

2) You might perhaps also be missing, or not taking into account  
consciously enough, Kripke semantics. In that case we have the same  
language as propositional calculus, + the unary connector or operator B.


Unlike ~p, whose truth value depends only of the value of p, Bp value  
is not functionally dependent of the truth value of p.


Now, a modal logic theory which has the formula K (for Kripke) B(p-q)- 
(Bp-Bp), and whose set of theorems is closed for the modus ponens  
rule (a, a-b) / b, but also the necessitation rule (p / Bp), can be  
given a so called Kripke semantics (due indeed to Kripke, around 1968,  
I think). [I write (p/BP) instead of p = Bp, to avoid confusion with  
-].


In that semantics, you have a referential (any set with a binary  
relation). The elements of the set are called world and designate by  
greek letters, and the relation is called accessibility relation,  
often designated by R, and if (alpha, beta) belongs to R, we write as  
usual alpha R beta.


That referential becomes a model when, on each world, you give a  
valuation on the atomic sentences p, q, r, ... and you extend, as in  
propositional logic the value of the compound formula. All worlds  
obeys classical propositional logic, so to speak. If a is true in  
alpha, and if b is true in alpha, we will have (a  b) is true in alpha.


But this will not provide a valuation for Bp, as Bp does not truth- 
functionally depend on the value of p.


Kripke defined the truth of Bp in the world alpha, by the truth of p  
in all the worlds accessible from alpha.


Bp is true is everywhere I will find myself, p is true. It is natural  
with most known modalities (where Bp/Dp ([ ]/), with Dp = ~B~p,  
corresponds to Necessity/Possibility, Obligation/Permission,  
Everywhere/Somewhere, Always/Once, For-all/It-exists, etc.).


If Bp means that p is true in all worlds accessible from the world I  
am in, Dp meaning ~B~p, will mean that it is false that ~p is true in  
all worlds accessible, and thus that there is a world where p is true.
So, Dp is true in alpha if it exists a world beta with p true in beta  
and (alpha R beta).


So here, like provability above, Bp is related to true in all  
(accessible) worlds.


Then you have the completeness theorem for many modal logic.

K4 proves A iff A is true in all models with R transitive   (4 = Bp -  
BBp)

KTproves A iff A is true in all models with R réflexive  (T = Bp - p)
KTB proves A iff A is true in all models with R réflexive and  
symmetrical

and
G proves A iff A is true in all finite models with R irreflexive and  
realist (realist means that all transitory world accesses to cul-de- 
sac, and a world is transitory if it is a not a cul-de-sac, and of  
course a cul-de-sac world is a world alpha such 

Re: The limit of all computations

2012-05-27 Thread Bruno Marchal


On 27 May 2012, at 12:15, Russell Standish wrote:


On Thu, May 24, 2012 at 03:42:15PM +0200, Bruno Marchal wrote:


But a = Ba is a valid rule for all logic having a Kripke
semantics. Why? Because it means that a is supposed to be valid (for
example you have already prove it), so a, like any theorem,  will be
true in all worlds, so a will be in particular true in all worlds
accessible from anywhere in the model, so Ba will be true in all
worlds of the model, so Ba is also a theorem.


I still don't follow. If I have proved a is true in some world, why
should I infer that it is true in all worlds? What am I missing?


I realize my previous answer might be too long and miss your question.  
Apology if it is the case.


Here is a shorter answer. The idea of proving, is that what is proved  
in true in all possible world. If not, a world would exist as a  
counter-example, invalidating the argument.


You might want to prove something about your actual world, but this  
can only have the form of a conditional like if my world satisfy such  
a such propositions then it has to satisfy that or this proposition,  
and that conditional has better to be true in all worlds, for we never  
really know which world we are in, we can only make theories.


Now, the modal Bp, and proof in math, can be study mathematically, and  
that is what I described in the preceding post, and constitutes a bit  
of the Arithmetical UDA.


Bruno



http://iridia.ulb.ac.be/~marchal/



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Re: The limit of all computations

2012-05-27 Thread Bruno Marchal


On 27 May 2012, at 09:46, Evgenii Rudnyi wrote:


On 26.05.2012 21:06 Bruno Marchal said the following:


On 26 May 2012, at 16:48, Evgenii Rudnyi wrote:


On 26.05.2012 11:30 Bruno Marchal said the following:


On 26 May 2012, at 08:47, Evgenii Rudnyi wrote:


...


In my view, it would be nicer to treat such a question
historically. Your position based on your theorem, after all,
is one of possible positions.


What do you mean by my position? I don't think I defend a
position. I do study the consequence of comp, if only to give a
chance to a real non-comp theory.


A position that the natural numbers are the foundation of the
world.


I don't defend that position. I show it to be a consequence of the
comp hypothesis + occam razor.


I do appreciate the clearness of your position. From this viewpoint,  
the language of mathematics allows us to remove ambiguities indeed.


Yes, and that is not an argument for the truth of comp, but it is an  
argument for the interest of comp. It like looking for your key under  
the lamp, because out the light you can't find them.


But another reason, is that comp is more polite, with respect to the  
machine, and so if they can be conscious, there is less risk to hurt  
them, by betting on that.







...



When we talk with each other and make proofs we use a human
language. Hence to make sure that we can make universal proofs by
means of a human language, it might be good to reach an agreement
on what it is.


This is an impossible task. That is why I use the semi-axiomatic
method (in UDA), and math in AUDA. If you disagree with a method of
reasoning, you have to explain why. In english, no problem.


I also agree that human language in a way is a mess. Yet, somehow it  
seems to work and this puzzles my, how it could happen when even  
mathematicians failed to analyze it.



No machine at all can develop of semantics for its living language.  
Language are living phenomenon, containing probably universal memes.  
It can be more clever than us. The brain is the most complex known  
object in the universe. And brains (and machine) are already limited  
in their self-study for logical reason.


A clever machine is a machine which understands that she know nothing,  
really. But beliefs are possible and needed to survive.






...


I am not against non-comp, but I am against any gap-theory, where
we introduce something in the ontology to make a problem
unsolvable leading to don't ask policy.


We are back to a human language. It seems that you mean that some
constructions expressed by it do not make sense. It well might be
but again we have to discuss the language then.


I don't see why we have to discuss language, apart from the machines
and their languages.


It seems that there is a gap between the language of mathematics and  
a human language.


Don't confuse the formal languages, OBJECT of study of logicians, and  
the language of the mathematicians, and logicians, to prove things  
about what they are interested in. That language is human language.


Formalism just means that we ask the opinion of some machine. We ask  
ZF about the continuum hypothesis, and she answered that she does not  
know (somehow).




It might be interesting to understand it. It might give us a hint on  
how the Universe is made.


What do you mean by Universe? I am a bit skeptical about Universe.



You see, we must use a human language to communicate, with the  
language of mathematics this would not work.

I do not know why.


?
There is no language of mathematics. It is the human languages, with  
abbreviations. Don't confuse this with the formal languages of  
logicians and computer scientist. They are very easy to communicate  
with, as they are simpler (and sort of subset) of human language. In  
english you will say to the secretary could you print this document,  
but you can ask formally the machine, by print files of CONTROL-  
Command, or something.









As for comp, I have written once

Simulation Hypothesis and Simulation Technology
http://blog.rudnyi.ru/2011/09/simulation-hypothesis-and-simulation-technology.html



that practically speaking it just does not work. I understand that
you talk in principle but how could we know if comp in principle is
true if we cannot check it in practice?


The whole point is that we can check it, at least if you accept the
classical theory of knowledge. Physics arise from number
self-reference in a precise constrained way, and the logic of
observable already give rise to quantum-like logic. If mechanism is
false, we can know it. If it is true we can only bet on it, and the
bet or not on some level of substitution. The facts (Everett QM)
gives evidence that our first person plural is given by the
electronic orbital, our stories does not depend on the precise
position of electron in those orbitals.




I personally find an extrapolation of a working model outside of
its scope that has been researched pretty dangerous.


I am just 

Re: Free will in MWI

2012-05-27 Thread John Clark
On Sun, May 27, 2012  Craig Weinberg whatsons...@gmail.com wrote:

 Now you claim not to understand either words will or free? How could you
 know whether it's circular or not when you claim not to understand either
 term? When that power to decide is taken away by a cage, what has been
 lost? How do you know what I know? Are you telepathic?


You believe that one of the many self-contradictory attributes that this
thing called free will gives people is the ability to do things for no
reason and you think that is wonderful, so it's surprising you should ask
so many questions about what CAUSED me to write what I wrote.

 I'm doing a radio show on Tuesday.


You arn't the first and won't be the last to peddle gibberish on the radio.


 You can't choose whether to choose to take my word or not, you have no
 free will. You are a puppet of any force that happens to run across the
 algorithm that you are. it wasn't you who was making a choice. The reason
 made the choice and it made you believe you made it.


So now you have discovered a new thing you can talk about on your radio
show:  if  Craig Weinberg finds that a particular fact about the universe
is unpleasant to him then that fact can not be true.

 your brain is wired to support free will.


Cannot comment, don't know what ASCII string free will means and neither
do you.

 Free will doesn't have to determine everything in the universe, just
 determining how my brain operates the voluntary muscles of my body is
 enough.


Cannot comment, don't know what ASCII string free will means and neither
do you.

  John K Clark

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Re: Free will in MWI

2012-05-27 Thread Craig Weinberg
On May 27, 1:44 pm, John Clark johnkcl...@gmail.com wrote:
 On Sun, May 27, 2012  Craig Weinberg whatsons...@gmail.com wrote:

  Now you claim not to understand either words will or free? How could you
  know whether it's circular or not when you claim not to understand either
  term? When that power to decide is taken away by a cage, what has been
  lost? How do you know what I know? Are you telepathic?

 You believe that one of the many self-contradictory attributes that this
 thing called free will gives people is the ability to do things for no
 reason

Did I ever once say that free will means acting for no reason? I only
say that reason is irrelevant and cannot explain the fact that there
is a difference between freely exercising your will and being a
impotent spectator held hostage in your own mind.

 and you think that is wonderful, so it's surprising you should ask
 so many questions about what CAUSED me to write what I wrote.

I'm not asking what caused you to write, I'm asking why you caused
that to be written.


  I'm doing a radio show on Tuesday.

 You arn't the first and won't be the last to peddle gibberish on the radio.

I'm not selling anything so I can't really be peddling.


  You can't choose whether to choose to take my word or not, you have no
  free will. You are a puppet of any force that happens to run across the
  algorithm that you are. it wasn't you who was making a choice. The reason
  made the choice and it made you believe you made it.

 So now you have discovered a new thing you can talk about on your radio
 show:  if  Craig Weinberg finds that a particular fact about the universe
 is unpleasant to him then that fact can not be true.

I could just talk about them as if they weren't facts and pretend I
don't understand their meaning instead, like some other people.


  your brain is wired to support free will.

 Cannot comment, don't know what ASCII string free will means and neither
 do you.

See previous.


  Free will doesn't have to determine everything in the universe, just
  determining how my brain operates the voluntary muscles of my body is
  enough.

 Cannot comment, don't know what ASCII string free will means and neither
 do you.


See previous.

Craig

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Re: was Relativity of Existence

2012-05-27 Thread meekerdb

On 5/27/2012 5:02 AM, Bruno Marchal wrote:
As Bruno said, Provable is always relative to some axioms and rules of inference.  It 
is quite independent of true of reality.   Which is why I'm highly suspicious of 
ideas like deriving all of reality from arithmetic, which we know only from axioms and 
inferences.


We don't give axioms and inference rule when teaching arithmetic in high school. We 
start from simple examples, like fingers, days of the week, candies in a bag, etc. 
Children understand anniversary before successor, and the finite/infinite 
distinction is as old as humanity.
In fact it can be shown that the intuition of numbers, addition and multiplication 
included, is *needed* to even understand what axioms and inference can be, making 
arithmetic necessarily known before any formal machinery is posited. 


But only a small finite part of arithmetic.

Brent

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Re: Max Velmans' Reflexive Monism

2012-05-27 Thread meekerdb

On 5/27/2012 2:04 PM, Stephen P. King wrote:


This does seem to imply an interesting situation where the mind/consciousness of the 
observer is in a sense no longer confined to being 'inside the skull but ranging out to 
the farthest place where something is percieved. It seems to me that imply a mapping 
between a large hyper-volume (the out there) and the small volume of the brain that 
cannot be in a one-to-one form. 


The skull, the brain, and 'out there' are all just parts of the world model your brain 
constructs.


Brent

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Re: The limit of all computations

2012-05-27 Thread Russell Standish
On Sun, May 27, 2012 at 06:20:29PM +0200, Bruno Marchal wrote:
 
 On 27 May 2012, at 12:15, Russell Standish wrote:
 I still don't follow. If I have proved a is true in some world, why
 should I infer that it is true in all worlds? What am I missing?
 
 I realize my previous answer might be too long and miss your
 question. Apology if it is the case.
 
 Here is a shorter answer. The idea of proving, is that what is
 proved in true in all possible world. If not, a world would exist as
 a counter-example, invalidating the argument.

I certainly missed that. Is that given as an axiom? It seems like that
would be written p - []p.

When I say p is true in a world, I can only prove that p is true in
that world. I am mute on the subject of whether p is true in any other
world (unless I can use an axiom like the above).

In what class of logics would such an axiom be taken to be true. (Of
course it is true in classical logic, but there is only one world there).


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Principal, High Performance Coders
Visiting Professor of Mathematics  hpco...@hpcoders.com.au
University of New South Wales  http://www.hpcoders.com.au


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Re: Max Velmans' Reflexive Monism

2012-05-27 Thread Craig Weinberg
On May 27, 5:45 pm, meekerdb meeke...@verizon.net wrote:
 On 5/27/2012 2:04 PM, Stephen P. King wrote:



      This does seem to imply an interesting situation where the 
  mind/consciousness of the
  observer is in a sense no longer confined to being 'inside the skull but 
  ranging out to
  the farthest place where something is percieved. It seems to me that imply 
  a mapping
  between a large hyper-volume (the out there) and the small volume of the 
  brain that
  cannot be in a one-to-one form.

 The skull, the brain, and 'out there' are all just parts of the world model 
 your brain
 constructs.

A model is a presentation which we use to refer to another
presentation. To say that the brain constructs models relies on the
possibility of a model which has no presentation to begin with. It
means that our every experience, including your sitting in that chair
reading these words, is made of 'representation-ness', which stands in
for the Homunculus to perform this invisible and logically redundant
alchemical transformation from perfectly useful neurological signals
into some weird orgy of improbable identities.

It doesn't hold up. It is a de-presentation of the world in order to
justify our failure to locate consciousness inside the tissue of the
brain. Consciousness isn't 'in' anything, and it's not produced by
anything. It's a story which produces brains, bodies, planets, etc.
They are parts of consciousness that are modeled as the world. They
are representations made of condensed, externalized, temporally
imploded presentations of sense.

Craig

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