Re: Fictionalism!

2013-06-09 Thread Bruno Marchal


On 08 Jun 2013, at 14:23, smi...@zonnet.nl wrote:

They exist if there is a consistent description of them. Even within  
conventional physics there is room for that, as discussed recently  
on this list. In the MWI or in eternal inflation models, everything  
that is not strictly forbidden by the conservation laws will happen.


Flying pink elephants can e.g. exist on planets with an extemely  
dense atmosphere, there was a NGC documentary a few years ago about  
this topic, it was suggested that you could have flying whales on  
such planets.



I was taking about the flying pink elephants on our planet. If you  
question was does they exist in general, then, as any physical  
object is the result of stable pattern supervening on infinities of  
computation, we can just say we don't know, probably in some rare  
branches of the comp-quantum multiverse.


Bruno





Saibal

Citeren Bruno Marchal marc...@ulb.ac.be:



On 08 Jun 2013, at 07:41, Stephen Paul King wrote:

 If you believe that a flying pink elephant is pink, must you   
believe a flying pink elephant exists?


Yes, at least for the chap that holds the belief and the belief  
is  true (ala Bruno).


Right, but like I said, I believe also that flying pink elephant  
are  not pink. And so I can easily prove that flying pink elephant  
does not  exist, as far as I am consistent.


Bruno








On Fri, Jun 7, 2013 at 11:15 PM, meekerdb meeke...@verizon.net   
wrote:

On 6/7/2013 4:00 PM, Stephen Paul King wrote:
Yes, if there was a text of this it would be nice... I found  
this: http://plato.stanford.edu/entries/fictionalism-mathematics/


A fictionalist account holds that some things are fictional, i.e.   
don't exist even though their complete description is self-  
consistent.  Everythingists apparently reject this idea.   
Platonists  seem to equate 'true' with 'exists'.  If you believe  
17 is prime you  must believe 17 exists.  I think this is wrong.   
If you believe that  a flying pink elephant is pink, must you  
believe a flying pink  elephant exists?


Brent

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Re: Fictionalism!

2013-06-09 Thread Bruno Marchal


On 08 Jun 2013, at 15:56, Stephen Paul King wrote:

Wrong Bruno, Flying pink elephants could be 'off mass shell',  
virtual elephants. Their color is a superposition of pink and not  
pink, which makes them, on average, colorless unless we look *very*  
carefully.


Your test for 'reality' is unphysical because it assumes that  
*infinite computations that consume no resources* can be accessed  
for confirmation of p.


?
p is for a true fact. It makes no sense to ask a confirmation, which  
applies only to a theory or a belief.


And I was not proposing a test. Just doing the usal classical logician  
joke. I can give evidence that all flying elephant on this planet, in  
this branch of the wave are pink and not pink.







The argument is simple: a proof of a sentence is equivalent to a  
computation of the model of the sentence.


That does not make sense to me. Proof is model independent.





If the sentence is inconsistent, then the model cannot be generated.


That makes sense!





The *Reality* of p is the by-product of mutual agreement of all  
possible testers/provers/interviewers of p, not some transcendent  
*Being*.


In Aristotle metaphysics, which is out the scope of my working  
hypothesis. You assume non-comp.








There there is a flaw in the premise of Arithmetic realism.


because you beg the question by assume a physical reality, and thus  
non comp.






Thus I present 'fictionalism' as a way to illustrate my  
counterexample to your claim of 'absolute truth' for Bpp..


Assuming Aristotle, so again it is not an argument for non validity,  
but a proposal for a different theory.


Bruno








On Sat, Jun 8, 2013 at 4:02 AM, Bruno Marchal marc...@ulb.ac.be  
wrote:


On 08 Jun 2013, at 05:15, meekerdb wrote:


On 6/7/2013 4:00 PM, Stephen Paul King wrote:

Yes, if there was a text of this it would be nice... I found this: 
http://plato.stanford.edu/entries/fictionalism-mathematics/


A fictionalist account holds that some things are fictional, i.e.  
don't exist even though their complete description is self- 
consistent.  Everythingists apparently reject this idea.   
Platonists seem to equate 'true' with 'exists'.  If you believe 17  
is prime you must believe 17 exists.  I think this is wrong.  If  
you believe that a flying pink elephant is pink, must you believe a  
flying pink elephant exists?



Flying pink elephants are pink and not pink. That's why flying pink  
elephant can't exist.


Bruno





Brent

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Re: Fictionalism!

2013-06-09 Thread Bruno Marchal


On 08 Jun 2013, at 17:55, meekerdb wrote:


On 6/8/2013 1:02 AM, Bruno Marchal wrote:


On 08 Jun 2013, at 05:15, meekerdb wrote:


On 6/7/2013 4:00 PM, Stephen Paul King wrote:
Yes, if there was a text of this it would be nice... I found  
this: http://plato.stanford.edu/entries/fictionalism-mathematics/


A fictionalist account holds that some things are fictional, i.e.  
don't exist even though their complete description is self- 
consistent.  Everythingists apparently reject this idea.   
Platonists seem to equate 'true' with 'exists'.  If you believe 17  
is prime you must believe 17 exists.  I think this is wrong.  If  
you believe that a flying pink elephant is pink, must you believe  
a flying pink elephant exists?



Flying pink elephants are pink and not pink. That's why flying pink  
elephant can't exist.




A pink elephant is pink by construction.


Exact. But the flying pink elephant are also not pink. By logic. Or  
show me a flying pink elephant living on this planet which isn't not  
pink.


Bruno






Brent


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Re: Fictionalism!

2013-06-09 Thread Bruno Marchal


On 09 Jun 2013, at 03:12, Stephen Paul King wrote:

My complaint is that there doesn't seem to be a consistent  
definition of existence!


Because it does not make sense. That's why we treat existence through  
quantification.


Bruno







On Sat, Jun 8, 2013 at 9:11 PM, Stephen Paul King kingstephenp...@gmail.com 
 wrote:


smi...@zonnet.nl via googlegroups.com
8:37 PM (31 minutes ago)



to everything-list

But if such a real physical pink elephant can't exist, that means  
that it is not a logically consistent concept to begin with. If one  
starts from a logically consistent system, then one can always find  
a physical system whose equations of motion realize it, it will then  
exist in a generic multiverse scenario.


Saibal

Hi Saibal,

Does existence mean has a physical structure that can be measured  
by arbitrary observers? If so, how can a number 'exist'?



On Sat, Jun 8, 2013 at 8:37 PM, smi...@zonnet.nl wrote:
But if such a real physical pink elephant can't exist, that means  
that it is not a logically consistent concept to begin with. If one  
starts from a logically consistent system, then one can always find  
a physical system whose equations of motion realize it, it will then  
exist in a generic multiverse scenario.


Saibal

Citeren meekerdb meeke...@verizon.net:

On 6/8/2013 12:03 PM, John Mikes wrote:
You are mixing conventional physicalist-materialist apples with  
imaginary oranges. Anything 'could be'.


That's my point.  Anything 'could be' if the only constraint is  
logical consistency (not self contradictory).  But in the sense of  
'be' that requires a universe and observers there appear to be  
other, nomological constraints.  So there could be an animal that  
looks superficially like and elephant and lives on a planet who's  
atmosphere is as dense as water and is pink.  But it couldn't also  
have the same DNA and metabolic system as and elephant.  So it would  
only 'be a flying pink elephant' because we use the words to denote  
a certain similarity in appearance.


Brent


Question: would such anything be topic for this physicalist-based  
conventional EVERYTHING List?
Q-2: are OUR colors defined for different physical circumstances as  
well? BTW - IMO  flying is not restricted to a conventionally called  
'gaseous' medium, so 'swimming' can be considered an alternate for  
flying. - PINK Whales? G

Rem: of course 'they' all exist - if not otherwise: in our mind.
JM

On Sat, Jun 8, 2013 at 12:04 PM, meekerdb meeke...@verizon.net mailto:meeke...@verizon.net 
 wrote:



On 6/8/2013 5:23 AM, smi...@zonnet.nl mailto:smi...@zonnet.nl  
wrote:


They exist if there is a consistent description of them.  
Even within
conventional physics there is room for that, as discussed  
recently on this list.
In the MWI or in eternal inflation models, everything that  
is not strictly

forbidden by the conservation laws will happen.

Flying pink elephants can e.g. exist on planets with an  
extemely dense
atmosphere, there was a NGC documentary a few years ago  
about this topic, it was

suggested that you could have flying whales on such planets.


Could you identify them as elephants and whales by their DNA?   
Could the elephants

be pink?


Brent

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Pink elephants

2013-06-09 Thread Russell Standish
On Sun, Jun 09, 2013 at 09:23:18AM +0200, Bruno Marchal wrote:
 
 On 08 Jun 2013, at 17:55, meekerdb wrote:
 
 A pink elephant is pink by construction.
 
 Exact. But the flying pink elephant are also not pink. By logic. Or
 show me a flying pink elephant living on this planet which isn't not
 pink.
 
 Bruno
 
 

I'm wondering if this is really the best example to choose:

http://news.bbc.co.uk/2/hi/science/nature/7951331.stm

Now if we were to load up this calf into a jumbo jet, and take off, we
have an example of a flying pink elephant that is most definitely not
not pink (unless the lights are out :)).

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Re: Fictionalism!

2013-06-09 Thread Bruno Marchal


On 09 Jun 2013, at 02:37, smi...@zonnet.nl wrote:

But if such a real physical pink elephant can't exist, that means  
that it is not a logically consistent concept to begin with.


Assuming that everything consistent exist, but that depends on other  
assumptions. In arithmetic, it is consistent that proof of falsity  
exists, but they do not exist in the standard model of the axioms (in  
which we work).




If one starts from a logically consistent system, then one can  
always find a physical system whose equations of motion realize it,  
it will then exist in a generic multiverse scenario.


I doubt this. As I said Bf is consistent in PA, but it can be shown it  
will be an infinite object, and it is not obviously realizable in a  
physical reality.


Bruno







Saibal

Citeren meekerdb meeke...@verizon.net:


On 6/8/2013 12:03 PM, John Mikes wrote:
You are mixing conventional physicalist-materialist apples with  
imaginary oranges. Anything 'could be'.


That's my point.  Anything 'could be' if the only constraint is  
logical consistency (not self contradictory).  But in the sense of  
'be' that requires a universe and observers there appear to be  
other, nomological constraints.  So there could be an animal that  
looks superficially like and elephant and lives on a planet who's  
atmosphere is as dense as water and is pink.  But it couldn't also  
have the same DNA and metabolic system as and elephant.  So it  
would only 'be a flying pink elephant' because we use the words to  
denote a certain similarity in appearance.


Brent


Question: would such anything be topic for this physicalist- 
based conventional EVERYTHING List?
Q-2: are OUR colors defined for different physical circumstances  
as well? BTW - IMO  flying is not restricted to a conventionally  
called 'gaseous' medium, so 'swimming' can be considered an  
alternate for flying. - PINK Whales? G

Rem: of course 'they' all exist - if not otherwise: in our mind.
JM

On Sat, Jun 8, 2013 at 12:04 PM, meekerdb meeke...@verizon.net mailto:meeke...@verizon.net 
 wrote:


   On 6/8/2013 5:23 AM, smi...@zonnet.nl mailto:smi...@zonnet.nl  
wrote:


   They exist if there is a consistent description of them.  
Even within
   conventional physics there is room for that, as discussed  
recently on this list.
   In the MWI or in eternal inflation models, everything that  
is not strictly

   forbidden by the conservation laws will happen.

   Flying pink elephants can e.g. exist on planets with an  
extemely dense
   atmosphere, there was a NGC documentary a few years ago  
about this topic, it was

   suggested that you could have flying whales on such planets.


   Could you identify them as elephants and whales by their DNA?   
Could the elephants

   be pink?


   Brent

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Re: Pink elephants

2013-06-09 Thread Bruno Marchal


On 09 Jun 2013, at 09:51, Russell Standish wrote:


On Sun, Jun 09, 2013 at 09:23:18AM +0200, Bruno Marchal wrote:


On 08 Jun 2013, at 17:55, meekerdb wrote:


A pink elephant is pink by construction.


Exact. But the flying pink elephant are also not pink. By logic. Or
show me a flying pink elephant living on this planet which isn't not
pink.

Bruno




I'm wondering if this is really the best example to choose:

http://news.bbc.co.uk/2/hi/science/nature/7951331.stm

Now if we were to load up this calf into a jumbo jet, and take off, we
have an example of a flying pink elephant that is most definitely not
not pink (unless the lights are out :)).



OK.
Of course I guess we meant elephant flying by their own means. Like  
the famous flying pigs :)


Bruno






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Re: Fictionalism!

2013-06-09 Thread Telmo Menezes
On Sun, Jun 9, 2013 at 9:23 AM, Bruno Marchal marc...@ulb.ac.be wrote:

 On 08 Jun 2013, at 17:55, meekerdb wrote:

 On 6/8/2013 1:02 AM, Bruno Marchal wrote:


 On 08 Jun 2013, at 05:15, meekerdb wrote:

 On 6/7/2013 4:00 PM, Stephen Paul King wrote:

 Yes, if there was a text of this it would be nice... I found this:
 http://plato.stanford.edu/entries/fictionalism-mathematics/


 A fictionalist account holds that some things are fictional, i.e. don't
 exist even though their complete description is self-consistent.
 Everythingists apparently reject this idea.  Platonists seem to equate
 'true' with 'exists'.  If you believe 17 is prime you must believe 17
 exists.  I think this is wrong.  If you believe that a flying pink elephant
 is pink, must you believe a flying pink elephant exists?



 Flying pink elephants are pink and not pink. That's why flying pink elephant
 can't exist.


 A pink elephant is pink by construction.


 Exact. But the flying pink elephant are also not pink. By logic. Or show me
 a flying pink elephant living on this planet which isn't not pink.

Bruno, how are flying pink elephants any different from things that I
remember but am not experiencing this very moment? For example, I've
been to Brussels but I'm not there right now. Brussels is an
abstraction in my mind, but I believe it's the capital of Belgium.
That's part of the Brussels abstraction, in the same sense that being
pink is part of the flying pink elephant abstraction. No?

Telmo.

 Bruno





 Brent


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Re: Fictionalism!

2013-06-09 Thread Bruno Marchal


On 09 Jun 2013, at 11:20, Telmo Menezes wrote:

On Sun, Jun 9, 2013 at 9:23 AM, Bruno Marchal marc...@ulb.ac.be  
wrote:


On 08 Jun 2013, at 17:55, meekerdb wrote:

On 6/8/2013 1:02 AM, Bruno Marchal wrote:


On 08 Jun 2013, at 05:15, meekerdb wrote:

On 6/7/2013 4:00 PM, Stephen Paul King wrote:

Yes, if there was a text of this it would be nice... I found this:
http://plato.stanford.edu/entries/fictionalism-mathematics/


A fictionalist account holds that some things are fictional, i.e.  
don't

exist even though their complete description is self-consistent.
Everythingists apparently reject this idea.  Platonists seem to  
equate

'true' with 'exists'.  If you believe 17 is prime you must believe 17
exists.  I think this is wrong.  If you believe that a flying pink  
elephant

is pink, must you believe a flying pink elephant exists?



Flying pink elephants are pink and not pink. That's why flying pink  
elephant

can't exist.


A pink elephant is pink by construction.


Exact. But the flying pink elephant are also not pink. By logic. Or  
show me

a flying pink elephant living on this planet which isn't not pink.


Bruno, how are flying pink elephants any different from things that I
remember but am not experiencing this very moment? For example, I've
been to Brussels but I'm not there right now. Brussels is an
abstraction in my mind, but I believe it's the capital of Belgium.
That's part of the Brussels abstraction, in the same sense that being
pink is part of the flying pink elephant abstraction. No?



OK.

I should have said By logic applied to our consensual reality. Then  
the difference is that in case someone tell you that Brussels doesn't  
exist, you can still give him some procideure to assess the fact,  
(with trains, planes or Goggle earth, for example), which is not the  
case for the flying pig elephant, (with a consensual definition of  
what that can be).


In my opinion, fictionalism does not make sense. We just need to  
agree on what we need to assume at the start,  and then be clear on  
what exist, in which sense which can be relative and differ from  
different views.


Assuming comp, I argued that we need to assume no more than 0 and the  
successors, and the terms x + y and x * y.
The rest follows semantically (truth will go must farer than what  
any machine/number will ever been able to conceive publicly).


Eventually, the question is never does flying pink elephant exist,  
but what is the probability to experience the seeing of one, and what  
is the probability you can share that experience with others.


Pink elephants are the paradigmatic hallucination of the alcohol  
withdrawal. But I have never seen an explicit report on that, and  
besides, they are not known as being flying besides such  
hallucinations can't help to make them existing in the consensual  
local sense).


Then fictionalism can make sense only if we assume some basic physical  
existence, or reality, as the not explicit contrary of fiction. It  
is Aristotelianism.


Elementary arithmetic seems conceptually simpler than any physical  
notion, and with comp I think there is not much choice in the matter  
(in all senses of the word).


A pair of two non null integers x y such that (x/y)^2 = 2, that is  
fiction.


Bruno

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



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Re: Fictionalism!

2013-06-09 Thread Bruno Marchal


On 09 Jun 2013, at 11:20, Telmo Menezes wrote:

On Sun, Jun 9, 2013 at 9:23 AM, Bruno Marchal marc...@ulb.ac.be  
wrote:


On 08 Jun 2013, at 17:55, meekerdb wrote:

On 6/8/2013 1:02 AM, Bruno Marchal wrote:


On 08 Jun 2013, at 05:15, meekerdb wrote:

On 6/7/2013 4:00 PM, Stephen Paul King wrote:

Yes, if there was a text of this it would be nice... I found this:
http://plato.stanford.edu/entries/fictionalism-mathematics/


A fictionalist account holds that some things are fictional, i.e.  
don't

exist even though their complete description is self-consistent.
Everythingists apparently reject this idea.  Platonists seem to  
equate

'true' with 'exists'.  If you believe 17 is prime you must believe 17
exists.  I think this is wrong.  If you believe that a flying pink  
elephant

is pink, must you believe a flying pink elephant exists?



Flying pink elephants are pink and not pink. That's why flying pink  
elephant

can't exist.


A pink elephant is pink by construction.


Exact. But the flying pink elephant are also not pink. By logic. Or  
show me

a flying pink elephant living on this planet which isn't not pink.


Bruno, how are flying pink elephants any different from things that I
remember but am not experiencing this very moment?


I add explanation. Here you describe two 1p events. They are similar,  
although I guess you don't have precise memory of having actually seen  
a Flying Pink Elephant in your life, except in cartoon or dreams.







For example, I've
been to Brussels but I'm not there right now. Brussels is an
abstraction in my mind, but I believe it's the capital of Belgium.
That's part of the Brussels abstraction, in the same sense that being
pink is part of the flying pink elephant abstraction. No?



I do not dispute that fact. Pink elephant are pink.

But the pink elephant on this planet happens also to be brown rampant  
worms. And I'm afraid that is only a classical logician's joke.


(x = Flying Pink Elephant) - (x = Brown Rampant Worms) is true on  
this planet because (x = Flying Pink Elephant) is false for all x, on  
this planet (I think), and in classical logic f implies everything.


If you want,

(x = Flying Pink Elephant) - (x = Brown Rampant Worms)is an  
expression equivalent


to f -  whatever which is a tautology. It is the way to  
diplomatically assert that we do not believe in the existence of some  
x  which would be equal to a flying pig elephant. The popular saying  
with ifs and buts you can put Paris in a bottle express a similar  
thing.


Bruno







Telmo.


Bruno





Brent


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Re: Fictionalism!

2013-06-09 Thread Stephen Paul King
Wrong Bruno, Flying pink elephants could be 'off mass shell', virtual
elephants. Their color is a superposition of pink and not pink, which makes
them, on average, colorless unless we look *very* carefully.

Your test for 'reality' is unphysical because it assumes that *infinite
computations that consume no resources* can be accessed for confirmation of
p.


?
p is for a true fact. It makes no sense to ask a confirmation, which
applies only to a theory or a belief.

And I was not proposing a test. Just doing the usal classical logician
joke. I can give evidence that all flying elephant on this planet, in this
branch of the wave are pink and not pink.
**
[SPK] What is it that makes p a true fact? If we follow fictionalism, it
is true if and only if none of those that can conceive of p have also a
counterexample of p. This seems, crudely, to be a form of the law of
excluded middle.
**


The argument is simple: a proof of a sentence is equivalent to a
computation of the model of the sentence.


That does not make sense to me. Proof is model independent.
**
[SPK] If a model of p does not exist, is a proof of p possible? I do not
see how! My concept of a pink elephant is a model. The experience of my
reading this sentence is a model. But I am thinking of model outside of the
restricted definition of a model within math proper. As I see things,
independence is not existential separability.
**

There there is a flaw in the premise of Arithmetic realism.


because you beg the question by assume a physical reality, and thus non
comp.
**
[SPK] No, I accept that the physical reality that I experience is a
construction as per COMP, it supervenes on many minds and is almost
independent of any one of them (in the limit of infinitely many minds). AR
assumes that reality is completely independent of minds and thus has a
problem: it cannot explain how many minds can agree on the existence of a
physical reality.
**

Thus I present 'fictionalism' as a way to illustrate my counterexample to
your claim of 'absolute truth' for Bpp..


Assuming Aristotle, so again it is not an argument for non validity, but a
proposal for a different theory.
**
[SPK] Yes, it is a different theory that does not necessarily contradict
COMP. In my thinking COMP is too narrow a theory of minds. It only allows
for a single mind.


On Sun, Jun 9, 2013 at 3:21 AM, Bruno Marchal marc...@ulb.ac.be wrote:


 On 08 Jun 2013, at 15:56, Stephen Paul King wrote:

 Wrong Bruno, Flying pink elephants could be 'off mass shell', virtual
 elephants. Their color is a superposition of pink and not pink, which makes
 them, on average, colorless unless we look *very* carefully.

 Your test for 'reality' is unphysical because it assumes that *infinite
 computations that consume no resources* can be accessed for confirmation of
 p.


 ?
 p is for a true fact. It makes no sense to ask a confirmation, which
 applies only to a theory or a belief.

 And I was not proposing a test. Just doing the usal classical logician
 joke. I can give evidence that all flying elephant on this planet, in this
 branch of the wave are pink and not pink.






 The argument is simple: a proof of a sentence is equivalent to a
 computation of the model of the sentence.


 That does not make sense to me. Proof is model independent.




 If the sentence is inconsistent, then the model cannot be generated.


 That makes sense!




 The *Reality* of p is the by-product of mutual agreement of all possible
 testers/provers/interviewers of p, not some transcendent *Being*.


 In Aristotle metaphysics, which is out the scope of my working hypothesis.
 You assume non-comp.






 There there is a flaw in the premise of Arithmetic realism.


 because you beg the question by assume a physical reality, and thus non
 comp.





 Thus I present 'fictionalism' as a way to illustrate my counterexample to
 your claim of 'absolute truth' for Bpp..


 Assuming Aristotle, so again it is not an argument for non validity, but a
 proposal for a different theory.

 Bruno







 On Sat, Jun 8, 2013 at 4:02 AM, Bruno Marchal marc...@ulb.ac.be wrote:


 On 08 Jun 2013, at 05:15, meekerdb wrote:

  On 6/7/2013 4:00 PM, Stephen Paul King wrote:

 Yes, if there was a text of this it would be nice... I found this:
 http://plato.stanford.edu/entries/fictionalism-mathematics/


 A fictionalist account holds that some things are fictional, i.e. don't
 exist even though their complete description is self-consistent.
 Everythingists apparently reject this idea.  Platonists seem to equate
 'true' with 'exists'.  If you believe 17 is prime you must believe 17
 exists.  I think this is wrong.  If you believe that a flying pink
 elephant is pink, must you believe a flying pink elephant exists?



 Flying pink elephants are pink and not pink. That's why flying pink
 elephant can't exist.

 Bruno




 Brent

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Re: Fictionalism!

2013-06-09 Thread Bruno Marchal
Stephen, there is a problem with the format. Could you please to  
reformat it as it is impossible to reply to it. Thanks.


I will answer asap, but probably not today.

best,

Bruno


On 09 Jun 2013, at 17:53, Stephen Paul King wrote:

Wrong Bruno, Flying pink elephants could be 'off mass shell',  
virtual elephants. Their color is a superposition of pink and not  
pink, which makes them, on average, colorless unless we look *very*  
carefully.


Your test for 'reality' is unphysical because it assumes that  
*infinite computations that consume no resources* can be accessed  
for confirmation of p.


?
p is for a true fact. It makes no sense to ask a confirmation, which  
applies only to a theory or a belief.


And I was not proposing a test. Just doing the usal classical  
logician joke. I can give evidence that all flying elephant on this  
planet, in this branch of the wave are pink and not pink.

**
[SPK] What is it that makes p a true fact? If we follow  
fictionalism, it is true if and only if none of those that can  
conceive of p have also a counterexample of p. This seems, crudely,  
to be a form of the law of excluded middle.

**

The argument is simple: a proof of a sentence is equivalent to a  
computation of the model of the sentence.


That does not make sense to me. Proof is model independent.
**
[SPK] If a model of p does not exist, is a proof of p possible? I do  
not see how! My concept of a pink elephant is a model. The  
experience of my reading this sentence is a model. But I am thinking  
of model outside of the restricted definition of a model within math  
proper. As I see things, independence is not existential separability.

**

There there is a flaw in the premise of Arithmetic realism.


because you beg the question by assume a physical reality, and thus  
non comp.

**
[SPK] No, I accept that the physical reality that I experience is a  
construction as per COMP, it supervenes on many minds and is almost  
independent of any one of them (in the limit of infinitely many  
minds). AR assumes that reality is completely independent of minds  
and thus has a problem: it cannot explain how many minds can agree  
on the existence of a physical reality.

**
Thus I present 'fictionalism' as a way to illustrate my  
counterexample to your claim of 'absolute truth' for Bpp..


Assuming Aristotle, so again it is not an argument for non validity,  
but a proposal for a different theory.

**
[SPK] Yes, it is a different theory that does not necessarily  
contradict COMP. In my thinking COMP is too narrow a theory of  
minds. It only allows for a single mind.



On Sun, Jun 9, 2013 at 3:21 AM, Bruno Marchal marc...@ulb.ac.be  
wrote:


On 08 Jun 2013, at 15:56, Stephen Paul King wrote:

Wrong Bruno, Flying pink elephants could be 'off mass shell',  
virtual elephants. Their color is a superposition of pink and not  
pink, which makes them, on average, colorless unless we look *very*  
carefully.


Your test for 'reality' is unphysical because it assumes that  
*infinite computations that consume no resources* can be accessed  
for confirmation of p.


?
p is for a true fact. It makes no sense to ask a confirmation, which  
applies only to a theory or a belief.


And I was not proposing a test. Just doing the usal classical  
logician joke. I can give evidence that all flying elephant on this  
planet, in this branch of the wave are pink and not pink.







The argument is simple: a proof of a sentence is equivalent to a  
computation of the model of the sentence.


That does not make sense to me. Proof is model independent.





If the sentence is inconsistent, then the model cannot be generated.


That makes sense!





The *Reality* of p is the by-product of mutual agreement of all  
possible testers/provers/interviewers of p, not some transcendent  
*Being*.


In Aristotle metaphysics, which is out the scope of my working  
hypothesis. You assume non-comp.








There there is a flaw in the premise of Arithmetic realism.


because you beg the question by assume a physical reality, and thus  
non comp.






Thus I present 'fictionalism' as a way to illustrate my  
counterexample to your claim of 'absolute truth' for Bpp..


Assuming Aristotle, so again it is not an argument for non validity,  
but a proposal for a different theory.


Bruno








On Sat, Jun 8, 2013 at 4:02 AM, Bruno Marchal marc...@ulb.ac.be  
wrote:


On 08 Jun 2013, at 05:15, meekerdb wrote:


On 6/7/2013 4:00 PM, Stephen Paul King wrote:
Yes, if there was a text of this it would be nice... I found  
this: http://plato.stanford.edu/entries/fictionalism-mathematics/


A fictionalist account holds that some things are fictional, i.e.  
don't exist even though their complete description is self- 
consistent.  Everythingists apparently reject this idea.   
Platonists seem to equate 'true' with 'exists'.  If you believe 17  
is prime you must believe 17 exists.  I think this is wrong.  If  
you believe that a flying 

Re: Fictionalism!

2013-06-09 Thread Stephen Paul King
[SPKold] Wrong Bruno, Flying pink elephants could be 'off mass shell',
virtual elephants. Their color is a superposition of pink and not pink,
which makes them, on average, colorless unless we look *very* carefully.

[BM]Your test for 'reality' is unphysical because it assumes that *infinite
computations that consume no resources* can be accessed for confirmation of
p.

?
p is for a true fact. It makes no sense to ask a confirmation, which
applies only to a theory or a belief.

And I was not proposing a test. Just doing the usal classical logician
joke. I can give evidence that all flying elephant on this planet, in this
branch of the wave are pink and not pink.
**
[SPK] What is it that makes p a true fact? If we follow fictionalism, it
is true if and only if none of those that can conceive of p have also a
counterexample of p. This seems, crudely, to be a form of the law of
excluded middle.
**

[SPKold] The argument is simple: a proof of a sentence is equivalent to a
computation of the model of the sentence.

[BM] That does not make sense to me. Proof is model independent.
**
[SPK] If a model of p does not exist, is a proof of p possible? I do not
see how! My concept of a pink elephant is a model. The experience of my
reading this sentence is a model. But I am thinking of model outside of the
restricted definition of a model within math proper. As I see things,
independence is not existential separability.
**
[BM] There there is a flaw in the premise of Arithmetic realism.

because you beg the question by assume a physical reality, and thus non
comp.
**
[SPK] No, I accept that the physical reality that I experience is a
construction as per COMP, it supervenes on many minds and is almost
independent of any one of them (in the limit of infinitely many minds). AR
assumes that reality is completely independent of minds and thus has a
problem: it cannot explain how many minds can agree on the existence of a
physical reality.
**
[SPKold] Thus I present 'fictionalism' as a way to illustrate my
counterexample to your claim of 'absolute truth' for Bpp..

[BM] Assuming Aristotle, so again it is not an argument for non validity,
but a proposal for a different theory.
**
[SPK] Yes, it is a different theory that does not necessarily contradict
COMP. In my thinking COMP is too narrow a theory of minds. It only allows
for a single mind.


On Sun, Jun 9, 2013 at 1:53 PM, Bruno Marchal marc...@ulb.ac.be wrote:

 Stephen, there is a problem with the format. Could you please to reformat
 it as it is impossible to reply to it. Thanks.

 I will answer asap, but probably not today.

 best,

 Bruno


 On 09 Jun 2013, at 17:53, Stephen Paul King wrote:

  Wrong Bruno, Flying pink elephants could be 'off mass shell', virtual
 elephants. Their color is a superposition of pink and not pink, which makes
 them, on average, colorless unless we look *very* carefully.

 Your test for 'reality' is unphysical because it assumes that *infinite
 computations that consume no resources* can be accessed for confirmation of
 p.


 ?
 p is for a true fact. It makes no sense to ask a confirmation, which
 applies only to a theory or a belief.

 And I was not proposing a test. Just doing the usal classical logician
 joke. I can give evidence that all flying elephant on this planet, in this
 branch of the wave are pink and not pink.
 **
 [SPK] What is it that makes p a true fact? If we follow fictionalism, it
 is true if and only if none of those that can conceive of p have also a
 counterexample of p. This seems, crudely, to be a form of the law of
 excluded middle.
 **


 The argument is simple: a proof of a sentence is equivalent to a
 computation of the model of the sentence.


 That does not make sense to me. Proof is model independent.
 **
 [SPK] If a model of p does not exist, is a proof of p possible? I do not
 see how! My concept of a pink elephant is a model. The experience of my
 reading this sentence is a model. But I am thinking of model outside of the
 restricted definition of a model within math proper. As I see things,
 independence is not existential separability.
 **

 There there is a flaw in the premise of Arithmetic realism.


 because you beg the question by assume a physical reality, and thus non
 comp.
 **
 [SPK] No, I accept that the physical reality that I experience is a
 construction as per COMP, it supervenes on many minds and is almost
 independent of any one of them (in the limit of infinitely many minds). AR
 assumes that reality is completely independent of minds and thus has a
 problem: it cannot explain how many minds can agree on the existence of a
 physical reality.
 **

 Thus I present 'fictionalism' as a way to illustrate my counterexample to
 your claim of 'absolute truth' for Bpp..


 Assuming Aristotle, so again it is not an argument for non validity, but a
 proposal for a different theory.
 **
 [SPK] Yes, it is a different theory that does not necessarily contradict
 COMP. In my thinking COMP is too narrow 

Re: Fictionalism!

2013-06-09 Thread meekerdb

On 6/9/2013 12:23 AM, Bruno Marchal wrote:


On 08 Jun 2013, at 17:55, meekerdb wrote:


On 6/8/2013 1:02 AM, Bruno Marchal wrote:


On 08 Jun 2013, at 05:15, meekerdb wrote:


On 6/7/2013 4:00 PM, Stephen Paul King wrote:
Yes, if there was a text of this it would be nice... I found this: 
http://plato.stanford.edu/entries/fictionalism-mathematics/


A fictionalist account holds that some things are fictional, i.e. don't exist even 
though their complete description is self-consistent. Everythingists apparently 
reject this idea. Platonists seem to equate 'true' with 'exists'. If you believe 17 
is prime you must believe 17 exists.  I think this is wrong.  If you believe that a 
flying pink elephant is pink, must you believe a flying pink elephant exists?



Flying pink elephants are pink and not pink. That's why flying pink elephant 
can't exist.



A pink elephant is pink by construction.


Exact. But the flying pink elephant are also not pink. By logic.


A flying pink elephant that is not pink would be a contradiction in terms.  
That's logic.


Or show me a flying pink elephant living on this planet which isn't not pink.


That's not logic, that empiricism.

Brent

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Re: Fictionalism!

2013-06-09 Thread meekerdb

On 6/9/2013 5:21 AM, Bruno Marchal wrote:
Then fictionalism can make sense only if we assume some basic physical existence, or 
reality, as the not explicit contrary of fiction.


Yes.  Fictionalism is probably right about mathematics - but it's also right 
about physics.



Elementary arithmetic seems conceptually simpler than any physical notion, 


All the more reason to suppose it is just an invention.


and with comp I think there is not much choice in the matter (in all senses of 
the word).

A pair of two non null integers x y such that (x/y)^2 = 2, that is fiction. 


No, that is false in arithmetic.

Brent

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Re: Fictionalism!

2013-06-09 Thread John Mikes
Brent: thanx for the text, I downloaded it and still read it. Interesting.
Fun:
it says  about math objects that they are abstract. (e.g. No 3) In Hungary
children are taught that an abstract means:non tangible, e.i. not touchable
by bare hands (Hungarian has a better such expression). Jokingly:
glowing-hot iron is abstract. .

On Sun, Jun 9, 2013 at 2:58 PM, meekerdb meeke...@verizon.net wrote:

  On 6/9/2013 5:21 AM, Bruno Marchal wrote:

 Then fictionalism can make sense only if we assume some basic physical
 existence, or reality, as the not explicit contrary of fiction.


 Yes.  Fictionalism is probably right about mathematics - but it's also
 right about physics.


 Elementary arithmetic seems conceptually simpler than any physical notion,


 All the more reason to suppose it is just an invention.

 and with comp I think there is not much choice in the matter (in all
 senses of the word).

 A pair of two non null integers x y such that (x/y)^2 = 2, that is
 fiction.


 No, that is false in arithmetic.

 Brent

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