Re: To observe is to......EC

2006-11-10 Thread Bruno Marchal


Le 10-nov.-06, à 05:53, Colin Geoffrey Hales a écrit :

 The brackets I have used to date are not the brackets of the lambda
 calculus. I think physically, not symbolically. I find the jargon 
 really
 hard to relate to.

I thought you were referring to Alonzo Church's original book on 
lambda conversion.
Why do you want use the lambda calculus if you don't want use its 
jargon? The advantage of using some very well known formalism (like 
LAMBDA, or the combinators) is that you can directly refer to well 
known theorem in the literature. Of course you have too familiarize 
yourself with a bit of technical jargon, but lambda calculus is a 
technical matter, so this was expectable.

Perhaps you could use a popular functional programming language like 
LISP, before moving to the more technical lambda?

Bruno



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


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RE: Numbers, Machine and Father Ted

2006-11-10 Thread Stathis Papaioannou


Brent Meeker writes:

 This cannot be explained away by
  faith in the sense that one can have faith in the gravity god or a
  deist god (because no empirical finding counts for or against such
  beliefs): rather, it comes down to a matter of simultaneously
  believing x and not-x.
 
 Seems like faith to me - belief without or contrary to evidence.  What is 
 the x you refer to?

There is a subtle difference. It is possible to have faith in something stupid 
and still be consistent. For example, I could say that I have faith that God 
will answer my prayers regardless of whether he has ever answered any 
prayers before in the history of the world. However, I think most religious 
people would say that they have faith that God will answer their prayers 
because that it what God does and has done in the past. In so saying, they 
are making an empirically verifiable claim, at least in theory. They can be 
invited 
to come up with a test to support their belief, which can be as stringent as 
they 
like; for example, they might allow only historical analysis because God would 
not comply with any experiment designed to test him. I suspect that no such 
test would have any impact on their beliefs because at bottom they are just 
based on blind faith, but given that they do not volunteer this to begin with, 
it 
shows them up as inconsistent and hypocritical.

Stathis Papaioannou
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RE: Numbers, Machine and Father Ted

2006-11-10 Thread Stathis Papaioannou






Johnathan Corgan writes:

  That's because for hundreds, if not thousands, of years their theologians 
  have had to explain why their God is invisible, unnoticable, 
  incompehensible, and undetectable.  So a null experimental outcome, 
  like the recent studies of the efficacy of healing prayer, is ho-hum.
 
 For a rather lengthy, straight-faced treatment of intercessory prayer
 and victims of amputation:
 
 http://whywontgodhealamputees.com/god5.htm

Great article! I initially thought that it was written by some poor, honest 
Christian 
genuinely struggling with the logical consequences of his beliefs. But then 
such a 
person would quickly either fall back on blind faith or reject his beliefs as 
false, so 
there can't be many around. 

On the other hand, I once spoke to someone who claimed he saw God miraculously 
fill a cavity in a tooth with amalgam while the faithful were invited to 
observe with 
little flashlights, so I guess someone will say that God *does* heal amputees.

Stathis Papaioannou

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Re: To observe is to......EC

2006-11-10 Thread Colin Geoffrey Hales



 Le 10-nov.-06, ࠰5:53, Colin Geoffrey Hales a 飲it :

 The brackets I have used to date are not the brackets of the lambda
 calculus. I think physically, not symbolically. I find the jargon
 really
 hard to relate to.

 I thought you were referring to Alonzo Church's original book on
 lambda conversion.
 Why do you want use the lambda calculus if you don't want use its
 jargon?

It's OK bruno!
I only meant I struggle, not that I was not going to use it! I would be
silly not to use a well established formalism, as you say.

I have so many computer languages wasting space in my poor brain I have
trouble squeezing yet another syntax in there and getting it to flow
nicely.

:-)

Colin



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RE: Numbers, Machine and Father Ted

2006-11-10 Thread Johnathan Corgan

On Sat, 2006-11-11 at 00:30 +1100, Stathis Papaioannou wrote:

  http://whywontgodhealamputees.com/god5.htm
 
 Great article! I initially thought that it was written by some poor, honest 
 Christian 
 genuinely struggling with the logical consequences of his beliefs. But then 
 such a 
 person would quickly either fall back on blind faith or reject his beliefs as 
 false, so 
 there can't be many around. 

One thing that stands out about this author is his even-handed,
non-strident walk through of his argument, taking claims regarding
prayer and statements in the Christian bible at face value.  There is no
politicizing, sarcasm, or innuendo.  It's almost as if he very strongly
wants these claims to be true but is forced to conclude they are not
through irrefutable logic.  

We certainly could use more people this eloquent in their presentation!

-Johnathan


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Re: Numbers, Machine and Father Ted

2006-11-10 Thread 1Z


Bruno Marchal wrote:
 Le 09-nov.-06, à 14:07, 1Z a écrit :

  Bruno Marchal wrote:
  Le 31-oct.-06, à 19:37, 1Z a écrit :
 
  Well, I think numbers don't exist AT ALL
 
  I have not the slightest idea what you mean by that.
 
  If you don't understand anti-Platonism, that would certainly explain
  why you don't argue against it.


 I still don't understand what you mean by numbers does not exist at
 all.
 If that is antiplatonism, it would help me if you could explain
 what is antiplatonism, or better what could it mean that the numbers
 don't exist. We already agree they don't exist physically, but saying
 they does not exist at all ???

It means they don't non-physically exist either.

Mathematical claims about existence can be true
of false, but so can fictional claims like Harry Potter exists
in Middle Earth

  Even Licorne exists in some sense,
 without referent in the physical world, but with referent (meaning)
 in some fantasy worlds?

Fantasy worlds don't exist -- that's why they are called fantasy
worlds, --
Licornes don't exist, and Licornes' don't exist in fantasy worlds.

Meaning is *not* the same thing as reference (Bedeutung). That is the
box the anti-Platonist has climbed out of. Some terms have
referents (non-linguistic items they denote), others have only
sense (Sinn). Sense and reference are two dimensions
aspects of meaning, but not every term has both.
Sense is internal to langauge, it  a relationship between a
word/concept
and others. It is like a dictionary definition, whereas reference is
like
defining a word by pointing and saying it is one of those.
But no-one has ever defined a Licorne that way, since
there is no Licorne to be pointed to. Mathematical concepts
are defined in terms of other mathematical concepts.
Mathematical reference is impossible and unnecessary.

 Why could numbers not exist in some similar
 sense, except that the number fantasy kiks back (as Tom has recalled
 recently).

Saying that Licornes exist in a fantasy world
is a cumbersome way of saying they don't
literally exist. Well, numbers don't literally
kick back. They don't interact causally
with my reality.

 I am just trying to understand what you say.
 
 Bruno
 
 
 http://iridia.ulb.ac.be/~marchal/


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Re: Numbers, Machine and Father Ted

2006-11-10 Thread Tom Caylor

Brent Meeker wrote:
 Stathis Papaioannou wrote:
 
  Brent Meeker writes:
 
  This cannot be explained away by
  faith in the sense that one can have faith in the gravity god or a
  deist god (because no empirical finding counts for or against such
  beliefs): rather, it comes down to a matter of simultaneously
  believing x and not-x.
 
  Seems like faith to me - belief without or contrary to evidence.  What 
  is the x you refer to?
 
  There is a subtle difference. It is possible to have faith in something 
  stupid
  and still be consistent. For example, I could say that I have faith that God
  will answer my prayers regardless of whether he has ever answered any
  prayers before in the history of the world. However, I think most religious
  people would say that they have faith that God will answer their prayers
  because that it what God does and has done in the past. In so saying, they
  are making an empirically verifiable claim, at least in theory. They can be 
  invited
  to come up with a test to support their belief, which can be as stringent 
  as they
  like; for example, they might allow only historical analysis because God 
  would
  not comply with any experiment designed to test him. I suspect that no such
  test would have any impact on their beliefs because at bottom they are just
  based on blind faith, but given that they do not volunteer this to begin 
  with, it
  shows them up as inconsistent and hypocritical.
 
  Stathis Papaioannou

 OK.  But I'd say that in fact almost no one believes something without any 
 evidence, i.e. on *blind* faith.  Religious faith is usually belief based on 
 *selected* evidence; it is faith because it is contrary to the total 
 evidence.  Bruno seems to use faith somewhat differently: to mean what I 
 would call a working hypothesis.

 Brent Meeker

This gets us to the question that has been pondered here before, a
question that is more appropriate to the general
metaphysical/epistemological thoughts of this List: What does it mean
to believe something?  I'd say that you can't really know if you or
someone else really believes something unless you/they act on it.  An
act could simply be investing some of our precious limited time to look
at its consequences.  I'd say that for that non-trivial period of time
in your life, you had at least somewhat of a belief in it.  It is not a
trivial thing to use up some of your life doing something (at least in
my worldview).  I think this shows how Bruno's belief can be brought
equal in essence (if not necessarily the quantity of investment) to any
other belief.  Evidence is relative, and I think is important in
practical terms, but it is not essential to the definition of belief.

Tom


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Re: Numbers, Machine and Father Ted

2006-11-10 Thread Brent Meeker

Tom Caylor wrote:
 1Z wrote:
 Bruno Marchal wrote:
 Le 09-nov.-06, à 14:07, 1Z a écrit :

 Bruno Marchal wrote:
 Le 31-oct.-06, à 19:37, 1Z a écrit :

 Well, I think numbers don't exist AT ALL
 I have not the slightest idea what you mean by that.
 If you don't understand anti-Platonism, that would certainly explain
 why you don't argue against it.

 I still don't understand what you mean by numbers does not exist at
 all.
 If that is antiplatonism, it would help me if you could explain
 what is antiplatonism, or better what could it mean that the numbers
 don't exist. We already agree they don't exist physically, but saying
 they does not exist at all ???
 It means they don't non-physically exist either.

 Mathematical claims about existence can be true
 of false, but so can fictional claims like Harry Potter exists
 in Middle Earth

  Even Licorne exists in some sense,
 without referent in the physical world, but with referent (meaning)
 in some fantasy worlds?
 Fantasy worlds don't exist -- that's why they are called fantasy
 worlds, --
 Licornes don't exist, and Licornes' don't exist in fantasy worlds.

 Meaning is *not* the same thing as reference (Bedeutung). That is the
 box the anti-Platonist has climbed out of. Some terms have
 referents (non-linguistic items they denote), others have only
 sense (Sinn). Sense and reference are two dimensions
 aspects of meaning, but not every term has both.
 Sense is internal to langauge, it  a relationship between a
 word/concept
 and others. It is like a dictionary definition, whereas reference is
 like
 defining a word by pointing and saying it is one of those.
 But no-one has ever defined a Licorne that way, since
 there is no Licorne to be pointed to. Mathematical concepts
 are defined in terms of other mathematical concepts.
 Mathematical reference is impossible and unnecessary.

 Why could numbers not exist in some similar
 sense, except that the number fantasy kiks back (as Tom has recalled
 recently).
 Saying that Licornes exist in a fantasy world
 is a cumbersome way of saying they don't
 literally exist. Well, numbers don't literally
 kick back. They don't interact causally
 with my reality.
 
 What about:
 If (2^32582657)-1 is a prime number, I will not eat my hat.
 In all possible worlds where I always keep my promises, I will not eat
 my hat.
 This is causally a result of the fact that (2^32582657)-1 is a prime
 number.
 
 Tom

I think a clue is in the fact that you picked (2^32582657 -1) instead of 7.

Brent Meeker

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Re: Numbers, Machine and Father Ted

2006-11-10 Thread Tom Caylor

Brent Meeker wrote:
 Tom Caylor wrote:
  1Z wrote:
  Bruno Marchal wrote:
  Le 09-nov.-06, à 14:07, 1Z a écrit :
 
  Bruno Marchal wrote:
  Le 31-oct.-06, à 19:37, 1Z a écrit :
 
  Well, I think numbers don't exist AT ALL
  I have not the slightest idea what you mean by that.
  If you don't understand anti-Platonism, that would certainly explain
  why you don't argue against it.
 
  I still don't understand what you mean by numbers does not exist at
  all.
  If that is antiplatonism, it would help me if you could explain
  what is antiplatonism, or better what could it mean that the numbers
  don't exist. We already agree they don't exist physically, but saying
  they does not exist at all ???
  It means they don't non-physically exist either.
 
  Mathematical claims about existence can be true
  of false, but so can fictional claims like Harry Potter exists
  in Middle Earth
 
   Even Licorne exists in some sense,
  without referent in the physical world, but with referent (meaning)
  in some fantasy worlds?
  Fantasy worlds don't exist -- that's why they are called fantasy
  worlds, --
  Licornes don't exist, and Licornes' don't exist in fantasy worlds.
 
  Meaning is *not* the same thing as reference (Bedeutung). That is the
  box the anti-Platonist has climbed out of. Some terms have
  referents (non-linguistic items they denote), others have only
  sense (Sinn). Sense and reference are two dimensions
  aspects of meaning, but not every term has both.
  Sense is internal to langauge, it  a relationship between a
  word/concept
  and others. It is like a dictionary definition, whereas reference is
  like
  defining a word by pointing and saying it is one of those.
  But no-one has ever defined a Licorne that way, since
  there is no Licorne to be pointed to. Mathematical concepts
  are defined in terms of other mathematical concepts.
  Mathematical reference is impossible and unnecessary.
 
  Why could numbers not exist in some similar
  sense, except that the number fantasy kiks back (as Tom has recalled
  recently).
  Saying that Licornes exist in a fantasy world
  is a cumbersome way of saying they don't
  literally exist. Well, numbers don't literally
  kick back. They don't interact causally
  with my reality.
 
  What about:
  If (2^32582657)-1 is a prime number, I will not eat my hat.
  In all possible worlds where I always keep my promises, I will not eat
  my hat.
  This is causally a result of the fact that (2^32582657)-1 is a prime
  number.
 
  Tom

 I think a clue is in the fact that you picked (2^32582657 -1) instead of 7.

 Brent Meeker

OK.  I'll go with 7.  Compare

If 7 is a prime number, I will not eat my hat.

vs.

If this table holds up my coffee cup, I will not eat my hat.

Signed,
Tom


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RE: Numbers, Machine and Father Ted

2006-11-10 Thread Stathis Papaioannou


Peter Jones writes:

   Most people would not say yes doctor to a process that recorded
   their
   brain on a tape a left it in a filing cabinet. Yet, that is all you
   can
   get out of the timeless world of Plato's heaven (programme vs
   process).
 
 
  Why? Plato's heaven is full of mathematical process, which looks non
  dynamical from outside, like a block universe, but can be dynamical
  from inside.
 
 If you can show that subjective experience exists in Platonia,
 you can use that to show that some things will seem dynamical.
 
 If you can show that there a dynamic processes in Platonia,
 you can use that to show there are running computations
 and therefore minds, and therefore experiences.
 
 But can you do both without circularity?

That subjective experience exists in Platonia is shown by Maudlin-type 
arguments, although admittedly there are several other ways around this 
such as rejecting computationalism. 

That dynamic processes can occur in the absence of traditional linear time is 
less problematic. You haven't come up with a test that would tell me whether 
I am living in a properly implemented block universe or a linear universe, and 
I 
think it is impossible in principle to come up with such a test. That does not 
mean 
we are living in a block universe, but it does mean we would not know it if we 
were. 

Stathis Papaioannou
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Re: Numbers, Machine and Father Ted

2006-11-10 Thread Tom Caylor

1Z wrote:
 Tom Caylor wrote:
  1Z wrote:
   Bruno Marchal wrote:
Le 09-nov.-06, à 14:07, 1Z a écrit :
   
 Bruno Marchal wrote:
 Le 31-oct.-06, à 19:37, 1Z a écrit :

 Well, I think numbers don't exist AT ALL

 I have not the slightest idea what you mean by that.

 If you don't understand anti-Platonism, that would certainly explain
 why you don't argue against it.
   
   
I still don't understand what you mean by numbers does not exist at
all.
If that is antiplatonism, it would help me if you could explain
what is antiplatonism, or better what could it mean that the numbers
don't exist. We already agree they don't exist physically, but saying
they does not exist at all ???
  
   It means they don't non-physically exist either.
  
   Mathematical claims about existence can be true
   of false, but so can fictional claims like Harry Potter exists
   in Middle Earth
  
 Even Licorne exists in some sense,
without referent in the physical world, but with referent (meaning)
in some fantasy worlds?
  
   Fantasy worlds don't exist -- that's why they are called fantasy
   worlds, --
   Licornes don't exist, and Licornes' don't exist in fantasy worlds.
  
   Meaning is *not* the same thing as reference (Bedeutung). That is the
   box the anti-Platonist has climbed out of. Some terms have
   referents (non-linguistic items they denote), others have only
   sense (Sinn). Sense and reference are two dimensions
   aspects of meaning, but not every term has both.
   Sense is internal to langauge, it  a relationship between a
   word/concept
   and others. It is like a dictionary definition, whereas reference is
   like
   defining a word by pointing and saying it is one of those.
   But no-one has ever defined a Licorne that way, since
   there is no Licorne to be pointed to. Mathematical concepts
   are defined in terms of other mathematical concepts.
   Mathematical reference is impossible and unnecessary.
  
Why could numbers not exist in some similar
sense, except that the number fantasy kiks back (as Tom has recalled
recently).
  
   Saying that Licornes exist in a fantasy world
   is a cumbersome way of saying they don't
   literally exist. Well, numbers don't literally
   kick back. They don't interact causally
   with my reality.
 
  What about:
  If (2^32582657)-1 is a prime number, I will not eat my hat.
  In all possible worlds where I always keep my promises, I will not eat
  my hat.
  This is causally a result of the fact that (2^32582657)-1 is a prime
  number.


 No, because there are no possible worlds where (2^32582657)-1
 is not  a prime number. Causality , as opposed
 to material implication, requires contingency.


So reality requires contingency.  This is getting circular.



  Tom
 
  
I am just trying to understand what you say.
   
Bruno


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


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Re: Numbers, Machine and Father Ted

2006-11-10 Thread 1Z


Tom Caylor wrote:
 Brent Meeker wrote:
  Tom Caylor wrote:
   1Z wrote:
   Bruno Marchal wrote:
   Le 09-nov.-06, à 14:07, 1Z a écrit :
  
   Bruno Marchal wrote:
   Le 31-oct.-06, à 19:37, 1Z a écrit :
  
   Well, I think numbers don't exist AT ALL
   I have not the slightest idea what you mean by that.
   If you don't understand anti-Platonism, that would certainly explain
   why you don't argue against it.
  
   I still don't understand what you mean by numbers does not exist at
   all.
   If that is antiplatonism, it would help me if you could explain
   what is antiplatonism, or better what could it mean that the numbers
   don't exist. We already agree they don't exist physically, but saying
   they does not exist at all ???
   It means they don't non-physically exist either.
  
   Mathematical claims about existence can be true
   of false, but so can fictional claims like Harry Potter exists
   in Middle Earth
  
Even Licorne exists in some sense,
   without referent in the physical world, but with referent (meaning)
   in some fantasy worlds?
   Fantasy worlds don't exist -- that's why they are called fantasy
   worlds, --
   Licornes don't exist, and Licornes' don't exist in fantasy worlds.
  
   Meaning is *not* the same thing as reference (Bedeutung). That is the
   box the anti-Platonist has climbed out of. Some terms have
   referents (non-linguistic items they denote), others have only
   sense (Sinn). Sense and reference are two dimensions
   aspects of meaning, but not every term has both.
   Sense is internal to langauge, it  a relationship between a
   word/concept
   and others. It is like a dictionary definition, whereas reference is
   like
   defining a word by pointing and saying it is one of those.
   But no-one has ever defined a Licorne that way, since
   there is no Licorne to be pointed to. Mathematical concepts
   are defined in terms of other mathematical concepts.
   Mathematical reference is impossible and unnecessary.
  
   Why could numbers not exist in some similar
   sense, except that the number fantasy kiks back (as Tom has recalled
   recently).
   Saying that Licornes exist in a fantasy world
   is a cumbersome way of saying they don't
   literally exist. Well, numbers don't literally
   kick back. They don't interact causally
   with my reality.
  
   What about:
   If (2^32582657)-1 is a prime number, I will not eat my hat.
   In all possible worlds where I always keep my promises, I will not eat
   my hat.
   This is causally a result of the fact that (2^32582657)-1 is a prime
   number.
  
   Tom
 
  I think a clue is in the fact that you picked (2^32582657 -1) instead of 7.
 
  Brent Meeker

 OK.  I'll go with 7.  Compare

 If 7 is a prime number, I will not eat my hat.


http://www.earlham.edu/~peters/courses/log/mat-imp.htm

http://plato.stanford.edu/entries/logic-relevance/


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