Re: About the Infinite Repetition of Histories in Space

2013-02-17 Thread Bruno Marchal


On 12 Feb 2013, at 03:22, Stephen P. King wrote:


On 2/4/2013 11:57 AM, Bruno Marchal wrote:


On 01 Feb 2013, at 20:25, Stephen P. King wrote:


On 2/1/2013 5:20 AM, Telmo Menezes wrote:




On Thu, Jan 31, 2013 at 11:38 PM, Stephen P. King stephe...@charter.net 
 wrote:

On 1/31/2013 4:46 PM, Telmo Menezes wrote:

What's an entity?


Any system whose canonical description can be associated with  
some kind of fixed point theorem.


Ok, do you figure that a human being can be considered an entity  
under that definition?


Hi Telmo,

Recall the phrase I think therefore I am. The I is a fixed  
point under variations of content of experience.


Yes. And Descartes limited to the doubts experiences. He tried to  
doubt all propositions, but then he has to doubt the proposition  
asserting that he doubts all propositions, that is conceiving  
certainty.

Dubito ergo cogito. (I doubt thus I think)
Cogito ergo sum.  (I think thus I am).


Hi Bruno,

I would add the temporal tense and state: Cogito, ergo eram, I  
think, therefore I was.


But that does not follow.





This is Löbian, with the classical definition, making Dt such a  
fixed point.


I agree. I believe that this is exactly how the ambiguous self  
of self or I obtains.


I don't see the ambiguity. Unless it is the usual ambiguity between  
truth and provability, G* and G. Cf G* proves Bp equivalent with Bp   
p, and G does not.









But neither Descartes, nor any correct Löbian machine, can prove  
Dt, although the reasoning above validly confirm, from the first  
person point of view, consciousness as undoubtable, with  
consciousness being something like Dt?, a sort of basic, automated,  
instinctive, elementary faith in a reality.


Could you elaborate on what would happen *if* any correct  
machine could indeed prove Dt? What would be the implications?


The machine would eventually prove that 0 = 1, implying that you are  
the pope, notably.








Thomas Slezak made a similar analysis of the cogito of Descartes.  
References in the general biblio of Conscience and Mecanisme.


This need the classical definition of knowledge, which is given  
here by Thaetetus definition in arithmetic, thanks to  
incompleteness (the machine cannot know that Bp and Bp  p are  
equivalent).


I am not happy with this negative type of proof. I would like to  
see some kind of constructive argument or even an approximation.


The proof is not negative. And it is constructive, even if bearing on  
an impossibility. The machine can build the conterexample. The result  
can be said to be negative, but math is full of such non go theorems.  
We can't change that at will.








This entails the fact that we can be genuinely aware that we dream,  
but we can never be genuinely aware that we are awake, (as the  
usual Turing emulation thought experiences illustrate).


This seems to me to be analogous to we can know for sure that  
X' is a fake or simulation of X and not the real thing, but it  
presupposes a 3p judgement. If one only allows 1p judgements and  
finite computational resources, then one must be a fallibist in  
one's claims.


?
Usually the 3p discourse is always fallible. Only a part of the 1p  
discourse (our own consciousness) is not fallible.


Bruno

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



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Re: About the Infinite Repetition of Histories in Space

2013-02-17 Thread Stephen P. King

On 2/17/2013 9:41 AM, Bruno Marchal wrote:


On 12 Feb 2013, at 03:22, Stephen P. King wrote:


On 2/4/2013 11:57 AM, Bruno Marchal wrote:


On 01 Feb 2013, at 20:25, Stephen P. King wrote:


On 2/1/2013 5:20 AM, Telmo Menezes wrote:




On Thu, Jan 31, 2013 at 11:38 PM, Stephen P. King 
stephe...@charter.net mailto:stephe...@charter.net wrote:


On 1/31/2013 4:46 PM, Telmo Menezes wrote:

What's an entity?


Any system whose canonical description can be associated
with some kind of fixed point theorem.


Ok, do you figure that a human being can be considered an entity 
under that definition?


Hi Telmo,

Recall the phrase I think therefore I am. The I is a fixed 
point under variations of content of experience.


Yes. And Descartes limited to the doubts experiences. He tried to 
doubt all propositions, but then he has to doubt the proposition 
asserting that he doubts all propositions, that is conceiving 
certainty.

Dubito ergo cogito. (I doubt thus I think)
Cogito ergo sum.  (I think thus I am).


Hi Bruno,

I would add the temporal tense and state: Cogito, ergo eram, I 
think, therefore I was.


But that does not follow.


HI Bruno,

How so? Is the content of our knowledge always in the present 
tense? Does this not imply that we are asking for a degenerasy of the 
temporal tense? If we accept the degenerasy we must be consistent with 
this in further arguments that require consideration of knowledge.








This is Löbian, with the classical definition, making Dt such a 
fixed point.


I agree. I believe that this is exactly how the ambiguous self of 
self or I obtains.


I don't see the ambiguity. Unless it is the usual ambiguity between 
truth and provability, G* and G. Cf G* proves Bp equivalent with Bp  
p, and G does not.


What, generally, acts to make this distinction between truth and 
provability?








But neither Descartes, nor any correct Löbian machine, can prove Dt, 
although the reasoning above validly confirm, from the first person 
point of view, consciousness as undoubtable, with consciousness 
being something like Dt?, a sort of basic, automated, instinctive, 
elementary faith in a reality.


Could you elaborate on what would happen *if* any correct machine 
could indeed prove Dt? What would be the implications?


The machine would eventually prove that 0 = 1, implying that you are 
the pope, notably.


How can we even consider the concept of when here if we have 
discounted a difference between past, present and future?








Thomas Slezak made a similar analysis of the cogito of Descartes. 
References in the general biblio of Conscience and Mecanisme.


This need the classical definition of knowledge, which is given here 
by Thaetetus definition in arithmetic, thanks to incompleteness (the 
machine cannot know that Bp and Bp  p are equivalent).


I am not happy with this negative type of proof. I would like to 
see some kind of constructive argument or even an approximation.


The proof is not negative. And it is constructive, even if bearing on 
an impossibility. The machine can build the conterexample. The result 
can be said to be negative, but math is full of such non go theorems. 
We can't change that at will.


For me, constructability involves consideration of resource 
availability but you discount that notion. So why do you invoke 
constructability here? We cannot change our premises at will! Consider 
the proof that the halting problem is intractable. ISTM that the halting 
problem is directly showing that constructability of proofs is dependent 
on resource availability. If a recursively enumerable function cannot 
generate a proof is it because there is a limit to ability of 
recursively enumerable functions. Could there exist a class of functions 
that do not have this limitation?









This entails the fact that we can be genuinely aware that we dream, 
but we can never be genuinely aware that we are awake, (as the usual 
Turing emulation thought experiences illustrate).


This seems to me to be analogous to we can know for sure that X' 
is a fake or simulation of X and not the real thing, but it 
presupposes a 3p judgement. If one only allows 1p judgements and 
finite computational resources, then one must be a fallibist in one's 
claims.


?
Usually the 3p discourse is always fallible. Only a part of the 1p 
discourse (our own consciousness) is not fallible.


This argues against a TOE, IMHO.



Bruno




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Stephen

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Re: About the Infinite Repetition of Histories in Space

2013-02-11 Thread Stephen P. King

On 2/4/2013 11:57 AM, Bruno Marchal wrote:


On 01 Feb 2013, at 20:25, Stephen P. King wrote:


On 2/1/2013 5:20 AM, Telmo Menezes wrote:




On Thu, Jan 31, 2013 at 11:38 PM, Stephen P. King 
stephe...@charter.net mailto:stephe...@charter.net wrote:


On 1/31/2013 4:46 PM, Telmo Menezes wrote:

What's an entity?


Any system whose canonical description can be associated
with some kind of fixed point theorem.


Ok, do you figure that a human being can be considered an entity 
under that definition?


Hi Telmo,

Recall the phrase I think therefore I am. The I is a fixed 
point under variations of content of experience.


Yes. And Descartes limited to the doubts experiences. He tried to 
doubt all propositions, but then he has to doubt the proposition 
asserting that he doubts all propositions, that is conceiving certainty.

Dubito ergo cogito. (I doubt thus I think)
Cogito ergo sum.  (I think thus I am).


Hi Bruno,

I would add the temporal tense and state: Cogito, ergo eram, I 
think, therefore I was.



This is Löbian, with the classical definition, making Dt such a fixed 
point.


I agree. I believe that this is exactly how the ambiguous self of 
self or I obtains.




But neither Descartes, nor any correct Löbian machine, can prove Dt, 
although the reasoning above validly confirm, from the first person 
point of view, consciousness as undoubtable, with consciousness being 
something like Dt?, a sort of basic, automated, instinctive, 
elementary faith in a reality.


Could you elaborate on what would happen *if* any correct machine 
could indeed prove Dt? What would be the implications?




Thomas Slezak made a similar analysis of the cogito of Descartes. 
References in the general biblio of Conscience and Mecanisme.


This need the classical definition of knowledge, which is given here 
by Thaetetus definition in arithmetic, thanks to incompleteness (the 
machine cannot know that Bp and Bp  p are equivalent).


I am not happy with this negative type of proof. I would like to 
see some kind of constructive argument or even an approximation.




This entails the fact that we can be genuinely aware that we dream, 
but we can never be genuinely aware that we are awake, (as the usual 
Turing emulation thought experiences illustrate).


This seems to me to be analogous to we can know for sure that X' 
is a fake or simulation of X and not the real thing, but it presupposes 
a 3p judgement. If one only allows 1p judgements and finite 
computational resources, then one must be a fallibist in one's claims.




--
Onward!

Stephen

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Re: About the Infinite Repetition of Histories in Space

2013-02-04 Thread Bruno Marchal


On 01 Feb 2013, at 20:25, Stephen P. King wrote:


On 2/1/2013 5:20 AM, Telmo Menezes wrote:




On Thu, Jan 31, 2013 at 11:38 PM, Stephen P. King stephe...@charter.net 
 wrote:

On 1/31/2013 4:46 PM, Telmo Menezes wrote:

What's an entity?


Any system whose canonical description can be associated with  
some kind of fixed point theorem.


Ok, do you figure that a human being can be considered an entity  
under that definition?


Hi Telmo,

Recall the phrase I think therefore I am. The I is a fixed  
point under variations of content of experience.


Yes. And Descartes limited to the doubts experiences. He tried to  
doubt all propositions, but then he has to doubt the proposition  
asserting that he doubts all propositions, that is conceiving certainty.

Dubito ergo cogito. (I doubt thus I think)
Cogito ergo sum.  (I think thus I am).

This is Löbian, with the classical definition, making Dt such a fixed  
point.


But neither Descartes, nor any correct Löbian machine, can prove Dt,  
although the reasoning above validly confirm, from the first person  
point of view, consciousness as undoubtable, with consciousness being  
something like Dt?, a sort of basic, automated, instinctive,  
elementary faith in a reality.


Thomas Slezak made a similar analysis of the cogito of Descartes.  
References in the general biblio of Conscience and Mecanisme.


This need the classical definition of knowledge, which is given here  
by Thaetetus definition in arithmetic, thanks to incompleteness (the  
machine cannot know that Bp and Bp  p are equivalent).


This entails the fact that we can be genuinely aware that we dream,  
but we can never be genuinely aware that we are awake, (as the usual  
Turing emulation thought experiences illustrate).



Bruno













On Thu, Jan 31, 2013 at 7:10 PM, Stephen P. King stephe...@charter.net 
 wrote:

IMHO more than one universe per entity is unjustified.




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Stephen

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



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Re: About the Infinite Repetition of Histories in Space

2013-02-01 Thread Telmo Menezes
On Thu, Jan 31, 2013 at 11:38 PM, Stephen P. King stephe...@charter.netwrote:

  On 1/31/2013 4:46 PM, Telmo Menezes wrote:

 What's an entity?


 Any system whose canonical description can be associated with some
 kind of fixed point theorem.


Ok, do you figure that a human being can be considered an entity under that
definition?






 On Thu, Jan 31, 2013 at 7:10 PM, Stephen P. King stephe...@charter.netwrote:

  IMHO more than one universe per entity is unjustified.



 On 1/31/2013 8:09 AM, Roger Clough wrote:

 Hi Telmo Menezes

 IMHO more than one universe is unjustified.



 - Receiving the following content -
 *From:* Telmo Menezes te...@telmomenezes.com
 *Receiver:* everything-list everything-list@googlegroups.com
 *Time:* 2013-01-30, 12:10:08
 *Subject:* Re: About the Infinite Repetition of Histories in Space

  Hi Roger,

  I find it harder to believe in finite universes. Why the precise
 number, whatever it is?


 On Wed, Jan 30, 2013 at 12:46 PM, Roger Clough rclo...@verizon.netwrote:

  Hi Stephen P. King
 �
 It's easier to believe in salvation through faith or UFOs than infinite
 universes.
 �
 �

 - Receiving the following content -
 *From:* Stephen P. King stephe...@charter.net
 *Receiver:* everything-list everything-list@googlegroups.com
 *Time:* 2013-01-28, 09:20:33
 *Subject:* About the Infinite Repetition of Histories in Space

  Hi,

 牋� I think this paper might be fodder for a nice discussion!

 http://arxiv.org/abs/1301.5295

 About the Infinite Repetition of Histories in Space
 Francisco Jos� Soler 
 Gilhttp://arxiv.org/find/physics/1/au:+Gil_F/0/1/0/all/0/1
 ,�Manuel 
 Alfonsecahttp://arxiv.org/find/physics/1/au:+Alfonseca_M/0/1/0/all/0/1
 (Submitted on 22 Jan 2013 (v1 http://arxiv.org/abs/1301.5295v1), last
 revised 23 Jan 2013 (this version, v2))

 This paper analyzes two different proposals, one by Ellis and Brundrit,
 based on classical relativistic cosmology, the other by Garriga and
 Vilenkin, based on the DH interpretation of quantum mechanics, both of
 which conclude that, in an infinite universe, planets and living beings
 must be repeated an infinite number of times. We point to some possible
 shortcomings in the arguments of these authors. We conclude that the idea
 of an infinite repetition of histories in space cannot be considered
 strictly speaking a consequence of current physics and cosmology. Such
 ideas should be seen rather as examples of {\guillemotleft}ironic
 science{\guillemotright} in the terminology of John Horgan.



 --
 Onward!

 Stephen

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Re: About the Infinite Repetition of Histories in Space

2013-02-01 Thread Craig Weinberg


On Friday, February 1, 2013 12:12:17 AM UTC-5, Stephen Paul King wrote:

  On 1/31/2013 6:12 PM, Craig Weinberg wrote:
  


 On Thursday, January 31, 2013 5:38:28 PM UTC-5, Stephen Paul King wrote: 

  On 1/31/2013 4:46 PM, Telmo Menezes wrote:
  
 What's an entity?


 Any system whose canonical description can be associated with some 
 kind of fixed point theorem.
  

 Nice. Interestingly this just came up on another list five minutes ago. 
 Some interesting etymology too:

 entity (n.)
 1590s, from Late Latin entitatem (nom. entitas), from ens (genitive 
 entis) a thing, proposed by Caesar as prp. of esse be (see is), to 
 render Greek philosophical term to on that which is (from neuter of prp. 
 of einai to be; see essence). Originally abstract; concrete sense in 
 English is from 1620s.

 entire (adj.) 
 late 14c., from Old French entier whole, unbroken, intact, complete, 
 from Latin integrum (nom. integer; see integer).

  A slightly different meaning when we formalize it... a literal entity has 
 a thingness definable by position. A more figurative or casual reference 
 could mean like a 'the aspect of a presence or representation which 
 emphasizes its closure'.

 Craig
  
 Hi Craig,

 Position is one kind of dimension that is identifiable via a fixed 
 point, for example: Craig is at such and such an address.


Hi Stephen,

I would tend to consider address just another kind of position though. Is 
there an example of something which fixed point theorem addresses which is 
not a dimension which can be defined by position? Isn't the act of fixing a 
point the same as formalizing a position?

Craig

 

 

 -- 
 Onward!

 Stephen

  

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Re: Re: About the Infinite Repetition of Histories in Space

2013-02-01 Thread Roger Clough
Hi Stephen P. King 


- Receiving the following content - 
From: Stephen P. King 
Receiver: everything-list 
Time: 2013-01-31, 17:38:28
Subject: Re: About the Infinite Repetition of Histories in Space


On 1/31/2013 4:46 PM, Telmo Menezes wrote:

What's an entity?

Any system whose canonical description can be associated with some kind of 
fixed point theorem.





On Thu, Jan 31, 2013 at 7:10 PM, Stephen P. King stephe...@charter.net wrote:

IMHO more than one universe per entity is unjustified. 



On 1/31/2013 8:09 AM, Roger Clough wrote:

Hi Telmo Menezes 
 
IMHO more than one universe is unjustified.
 
 
- Receiving the following content - 
From: Telmo Menezes 
Receiver: everything-list 
Time: 2013-01-30, 12:10:08
Subject: Re: About the Infinite Repetition of Histories in Space


Hi Roger, 


I find it harder to believe in finite universes. Why the precise number, 
whatever it is?



On Wed, Jan 30, 2013 at 12:46 PM, Roger Clough rclo...@verizon.net wrote:

Hi Stephen P. King 
It's easier to believe in salvation through faith or UFOs than infinite 
universes.
- Receiving the following content - 
From: Stephen P. King 
Receiver: everything-list 
Time: 2013-01-28, 09:20:33
Subject: About the Infinite Repetition of Histories in Space


Hi,

? I think this paper might be fodder for a nice discussion!

http://arxiv.org/abs/1301.5295


About the Infinite Repetition of Histories in Space
Francisco Jos Soler Gil, Manuel Alfonseca
(Submitted on 22 Jan 2013 (v1), last revised 23 Jan 2013 (this version, v2))
This paper analyzes two different proposals, one by Ellis and Brundrit, based 
on classical relativistic cosmology, the other by Garriga and Vilenkin, based 
on the DH interpretation of quantum mechanics, both of which conclude that, in 
an infinite universe, planets and living beings must be repeated an infinite 
number of times. We point to some possible shortcomings in the arguments of 
these authors. We conclude that the idea of an infinite repetition of histories 
in space cannot be considered strictly speaking a consequence of current 
physics and cosmology. Such ideas should be seen rather as examples of 
{\guillemotleft}ironic science{\guillemotright} in the terminology of John 
Horgan.




-- 
Onward!

Stephen

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Re: About the Infinite Repetition of Histories in Space

2013-02-01 Thread Stephen P. King

On 2/1/2013 5:20 AM, Telmo Menezes wrote:




On Thu, Jan 31, 2013 at 11:38 PM, Stephen P. King 
stephe...@charter.net mailto:stephe...@charter.net wrote:


On 1/31/2013 4:46 PM, Telmo Menezes wrote:

What's an entity?


Any system whose canonical description can be associated with
some kind of fixed point theorem.


Ok, do you figure that a human being can be considered an entity under 
that definition?


Hi Telmo,

Recall the phrase I think therefore I am. The I is a fixed 
point under variations of content of experience.









On Thu, Jan 31, 2013 at 7:10 PM, Stephen P. King
stephe...@charter.net mailto:stephe...@charter.net wrote:

IMHO more than one universe per entity is unjustified.




--
Onward!

Stephen

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Re: About the Infinite Repetition of Histories in Space

2013-02-01 Thread Stephen P. King

On 2/1/2013 8:07 AM, Craig Weinberg wrote:



On Friday, February 1, 2013 12:12:17 AM UTC-5, Stephen Paul King wrote:

On 1/31/2013 6:12 PM, Craig Weinberg wrote:



On Thursday, January 31, 2013 5:38:28 PM UTC-5, Stephen Paul King
wrote:

On 1/31/2013 4:46 PM, Telmo Menezes wrote:

What's an entity?


Any system whose canonical description can be associated
with some kind of fixed point theorem.


Nice. Interestingly this just came up on another list five
minutes ago. Some interesting etymology too:

entity (n.)
1590s, from Late Latin entitatem (nom. entitas), from ens
(genitive entis) a thing, proposed by Caesar as prp. of esse
be (see is), to render Greek philosophical term to on that
which is (from neuter of prp. of einai to be; see essence).
Originally abstract; concrete sense in English is from 1620s.

entire (adj.)
late 14c., from Old French entier whole, unbroken, intact,
complete, from Latin integrum (nom. integer; see integer).

 A slightly different meaning when we formalize it... a literal
entity has a thingness definable by position. A more figurative
or casual reference could mean like a 'the aspect of a presence
or representation which emphasizes its closure'.

Craig

Hi Craig,

Position is one kind of dimension that is identifiable via a
fixed point, for example: Craig is at such and such an address.


Hi Stephen,

I would tend to consider address just another kind of position though. 
Is there an example of something which fixed point theorem addresses 
which is not a dimension which can be defined by position? Isn't the 
act of fixing a point the same as formalizing a position?


Craig


Hi Craig,

No, its about the relation between object and context in a dynamic 
sense. Look at the variability in fixed points here: 
http://en.wikipedia.org/wiki/Fixed-point_theorem


Look at what all have in common: Some transformation on a collection, 
some closure of that which is transformed and some invariant - the fixed 
point.


--
Onward!

Stephen

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Re: About the Infinite Repetition of Histories in Space

2013-02-01 Thread Craig Weinberg


On Friday, February 1, 2013 2:29:21 PM UTC-5, Stephen Paul King wrote:

  On 2/1/2013 8:07 AM, Craig Weinberg wrote:
  


 On Friday, February 1, 2013 12:12:17 AM UTC-5, Stephen Paul King wrote: 

  On 1/31/2013 6:12 PM, Craig Weinberg wrote:
  


 On Thursday, January 31, 2013 5:38:28 PM UTC-5, Stephen Paul King wrote: 

  On 1/31/2013 4:46 PM, Telmo Menezes wrote:
  
 What's an entity?


 Any system whose canonical description can be associated with some 
 kind of fixed point theorem.
  

 Nice. Interestingly this just came up on another list five minutes ago. 
 Some interesting etymology too:

 entity (n.)
 1590s, from Late Latin entitatem (nom. entitas), from ens (genitive 
 entis) a thing, proposed by Caesar as prp. of esse be (see is), to 
 render Greek philosophical term to on that which is (from neuter of prp. 
 of einai to be; see essence). Originally abstract; concrete sense in 
 English is from 1620s.

 entire (adj.) 
 late 14c., from Old French entier whole, unbroken, intact, 
 complete, from Latin integrum (nom. integer; see integer).

  A slightly different meaning when we formalize it... a literal entity 
 has a thingness definable by position. A more figurative or casual 
 reference could mean like a 'the aspect of a presence or representation 
 which emphasizes its closure'.

 Craig
  
 Hi Craig,

 Position is one kind of dimension that is identifiable via a fixed 
 point, for example: Craig is at such and such an address.
  

 Hi Stephen,

 I would tend to consider address just another kind of position though. Is 
 there an example of something which fixed point theorem addresses which is 
 not a dimension which can be defined by position? Isn't the act of fixing a 
 point the same as formalizing a position?

 Craig
  
  Hi Craig,

 No, its about the relation between object and context in a dynamic 
 sense. Look at the variability in fixed points here: 
 http://en.wikipedia.org/wiki/Fixed-point_theorem

 Look at what all have in common: Some transformation on a collection, some 
 closure of that which is transformed and some invariant - the fixed point.


Oh, sorry I didn't realize that was a specifically defined term.  F-p 
theorem seems too narrow to me to contain the casual use of 'entity', as x 
or f(x) is already an entity regardless of any operations of coordination 
of values. A ghost in a dream can be an entity, or a legal entity can be 
purely conceptual. Unless you are looking at 'entity' as a mathematical 
description only.

Craig


 -- 
 Onward!

 Stephen

  

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Re: About the Infinite Repetition of Histories in Space

2013-02-01 Thread Stephen P. King

On 2/1/2013 3:52 PM, Craig Weinberg wrote:



On Friday, February 1, 2013 2:29:21 PM UTC-5, Stephen Paul King wrote:

On 2/1/2013 8:07 AM, Craig Weinberg wrote:



On Friday, February 1, 2013 12:12:17 AM UTC-5, Stephen Paul King
wrote:

On 1/31/2013 6:12 PM, Craig Weinberg wrote:



On Thursday, January 31, 2013 5:38:28 PM UTC-5, Stephen Paul
King wrote:

On 1/31/2013 4:46 PM, Telmo Menezes wrote:

What's an entity?


Any system whose canonical description can be
associated with some kind of fixed point theorem.


Nice. Interestingly this just came up on another list five
minutes ago. Some interesting etymology too:

entity (n.)
1590s, from Late Latin entitatem (nom. entitas), from
ens (genitive entis) a thing, proposed by Caesar as prp.
of esse be (see is), to render Greek philosophical term to
on that which is (from neuter of prp. of einai to be;
see essence). Originally abstract; concrete sense in English
is from 1620s.

entire (adj.)
late 14c., from Old French entier whole, unbroken,
intact, complete, from Latin integrum (nom. integer; see
integer).

 A slightly different meaning when we formalize it... a
literal entity has a thingness definable by position. A more
figurative or casual reference could mean like a 'the aspect
of a presence or representation which emphasizes its closure'.

Craig

Hi Craig,

Position is one kind of dimension that is identifiable
via a fixed point, for example: Craig is at such and such an
address.


Hi Stephen,

I would tend to consider address just another kind of position
though. Is there an example of something which fixed point
theorem addresses which is not a dimension which can be defined
by position? Isn't the act of fixing a point the same as
formalizing a position?

Craig


Hi Craig,

No, its about the relation between object and context in a
dynamic sense. Look at the variability in fixed points here:
http://en.wikipedia.org/wiki/Fixed-point_theorem
http://en.wikipedia.org/wiki/Fixed-point_theorem

Look at what all have in common: Some transformation on a
collection, some closure of that which is transformed and some
invariant - the fixed point.


Oh, sorry I didn't realize that was a specifically defined term.  F-p 
theorem seems too narrow to me to contain the casual use of 'entity', 
as x or f(x) is already an entity regardless of any operations of 
coordination of values. A ghost in a dream can be an entity, or a 
legal entity can be purely conceptual. Unless you are looking at 
'entity' as a mathematical description only.


Craig


Hi Craig,

What ever the entity is, it is its representation that we actually 
discuss, thus it is 'purely conceptual'. I am going for a broad strokes 
definition that can be adapted to specific cases...


--
Onward!

Stephen

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Re: Re: About the Infinite Repetition of Histories in Space

2013-01-31 Thread Roger Clough
Hi Telmo Menezes 

IMHO more than one universe is unjustified.


- Receiving the following content - 
From: Telmo Menezes 
Receiver: everything-list 
Time: 2013-01-30, 12:10:08
Subject: Re: About the Infinite Repetition of Histories in Space


Hi Roger,


I find it harder to believe in finite universes. Why the precise number, 
whatever it is?



On Wed, Jan 30, 2013 at 12:46 PM, Roger Clough rclo...@verizon.net wrote:

Hi Stephen P. King 
?
It's easier to believe in salvation through faith or UFOs than infinite 
universes.
?
?
- Receiving the following content - 
From: Stephen P. King 
Receiver: everything-list 
Time: 2013-01-28, 09:20:33
Subject: About the Infinite Repetition of Histories in Space


Hi,

?? I think this paper might be fodder for a nice discussion!

http://arxiv.org/abs/1301.5295


About the Infinite Repetition of Histories in Space
Francisco Jos? Soler Gil,?Manuel Alfonseca
(Submitted on 22 Jan 2013 (v1), last revised 23 Jan 2013 (this version, v2))
This paper analyzes two different proposals, one by Ellis and Brundrit, based 
on classical relativistic cosmology, the other by Garriga and Vilenkin, based 
on the DH interpretation of quantum mechanics, both of which conclude that, in 
an infinite universe, planets and living beings must be repeated an infinite 
number of times. We point to some possible shortcomings in the arguments of 
these authors. We conclude that the idea of an infinite repetition of histories 
in space cannot be considered strictly speaking a consequence of current 
physics and cosmology. Such ideas should be seen rather as examples of 
{\guillemotleft}ironic science{\guillemotright} in the terminology of John 
Horgan.


-- 
Onward!

Stephen

DreamMail?- The first mail software supporting source tracking 
?www.dreammail.org
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Re: Re: About the Infinite Repetition of Histories in Space

2013-01-31 Thread Telmo Menezes
Hi Roger,

In the one universe model, where does the extra computational power of
quantum computers come from?


On Thu, Jan 31, 2013 at 2:09 PM, Roger Clough rclo...@verizon.net wrote:

  Hi Telmo Menezes

 IMHO more than one universe is unjustified.



 - Receiving the following content -
 *From:* Telmo Menezes te...@telmomenezes.com
 *Receiver:* everything-list everything-list@googlegroups.com
 *Time:* 2013-01-30, 12:10:08
 *Subject:* Re: About the Infinite Repetition of Histories in Space

   Hi Roger,

 I find it harder to believe in finite universes. Why the precise number,
 whatever it is?


 On Wed, Jan 30, 2013 at 12:46 PM, Roger Clough rclo...@verizon.netwrote:

  Hi Stephen P. King
 �
 It's easier to believe in salvation through faith or UFOs than infinite
 universes.
 �
 �

 - Receiving the following content -
 *From:* Stephen P. King stephe...@charter.net
 *Receiver:* everything-list everything-list@googlegroups.com
 *Time:* 2013-01-28, 09:20:33
 *Subject:* About the Infinite Repetition of Histories in Space

  Hi,

 牋� I think this paper might be fodder for a nice discussion!


 http://arxiv.org/abs/1301.5295

 About the Infinite Repetition of Histories in Space
 Francisco Jos� Soler 
 Gilhttp://arxiv.org/find/physics/1/au:+Gil_F/0/1/0/all/0/1
 ,�Manuel 
 Alfonsecahttp://arxiv.org/find/physics/1/au:+Alfonseca_M/0/1/0/all/0/1
 (Submitted on 22 Jan 2013 (v1 http://arxiv.org/abs/1301.5295v1), last
 revised 23 Jan 2013 (this version, v2))

 This paper analyzes two different proposals, one by Ellis and Brundrit,
 based on classical relativistic cosmology, the other by Garriga and
 Vilenkin, based on the DH interpretation of quantum mechanics, both of
 which conclude that, in an infinite universe, planets and living beings
 must be repeated an infinite number of times. We point to some possible
 shortcomings in the arguments of these authors. We conclude that the idea
 of an infinite repetition of histories in space cannot be considered
 strictly speaking a consequence of current physics and cosmology. Such
 ideas should be seen rather as examples of {\guillemotleft}ironic
 science{\guillemotright} in the terminology of John Horgan.


 --
 Onward!

 Stephen

 
 *DreamMail*�- The first mail software supporting source tracking �
 www.dreammail.org

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Re: About the Infinite Repetition of Histories in Space

2013-01-31 Thread Stephen P. King

IMHO more than one universe per entity is unjustified.


On 1/31/2013 8:09 AM, Roger Clough wrote:

Hi Telmo Menezes
IMHO more than one universe is unjustified.

- Receiving the following content -
*From:* Telmo Menezes mailto:te...@telmomenezes.com
*Receiver:* everything-list mailto:everything-list@googlegroups.com
*Time:* 2013-01-30, 12:10:08
*Subject:* Re: About the Infinite Repetition of Histories in Space

Hi Roger,

I find it harder to believe in finite universes. Why the precise
number, whatever it is?


On Wed, Jan 30, 2013 at 12:46 PM, Roger Clough
rclo...@verizon.net mailto:rclo...@verizon.net wrote:

Hi Stephen P. King
�
It's easier to believe in salvation through faith or UFOs than
infinite universes.
�
�

- Receiving the following content -
*From:* Stephen P. King mailto:stephe...@charter.net
*Receiver:* everything-list
mailto:everything-list@googlegroups.com
*Time:* 2013-01-28, 09:20:33
*Subject:* About the Infinite Repetition of Histories in Space

Hi,

牋� I think this paper might be fodder for a nice discussion!

http://arxiv.org/abs/1301.5295


  About the Infinite Repetition of Histories in Space

Francisco Jos� Soler Gil
http://arxiv.org/find/physics/1/au:+Gil_F/0/1/0/all/0/1,�Manuel
Alfonseca
http://arxiv.org/find/physics/1/au:+Alfonseca_M/0/1/0/all/0/1
(Submitted on 22 Jan 2013 (v1
http://arxiv.org/abs/1301.5295v1), last revised 23 Jan
2013 (this version, v2))

This paper analyzes two different proposals, one by
Ellis and Brundrit, based on classical relativistic
cosmology, the other by Garriga and Vilenkin, based on
the DH interpretation of quantum mechanics, both of
which conclude that, in an infinite universe, planets
and living beings must be repeated an infinite number
of times. We point to some possible shortcomings in
the arguments of these authors. We conclude that the
idea of an infinite repetition of histories in space
cannot be considered strictly speaking a consequence
of current physics and cosmology. Such ideas should be
seen rather as examples of {\guillemotleft}ironic
science{\guillemotright} in the terminology of John
Horgan.




--
Onward!

Stephen

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Re: About the Infinite Repetition of Histories in Space

2013-01-31 Thread Stephen P. King

On 1/31/2013 4:46 PM, Telmo Menezes wrote:

What's an entity?


Any system whose canonical description can be associated with some 
kind of fixed point theorem.





On Thu, Jan 31, 2013 at 7:10 PM, Stephen P. King 
stephe...@charter.net mailto:stephe...@charter.net wrote:


IMHO more than one universe per entity is unjustified.



On 1/31/2013 8:09 AM, Roger Clough wrote:

Hi Telmo Menezes
IMHO more than one universe is unjustified.

- Receiving the following content -
*From:* Telmo Menezes mailto:te...@telmomenezes.com
*Receiver:* everything-list
mailto:everything-list@googlegroups.com
*Time:* 2013-01-30, 12:10:08
*Subject:* Re: About the Infinite Repetition of Histories in
Space

Hi Roger,

I find it harder to believe in finite universes. Why the
precise number, whatever it is?


On Wed, Jan 30, 2013 at 12:46 PM, Roger Clough
rclo...@verizon.net mailto:rclo...@verizon.net wrote:

Hi Stephen P. King
�
It's easier to believe in salvation through faith or UFOs
than infinite universes.
�
�

- Receiving the following content -
*From:* Stephen P. King mailto:stephe...@charter.net
*Receiver:* everything-list
mailto:everything-list@googlegroups.com
*Time:* 2013-01-28, 09:20:33
*Subject:* About the Infinite Repetition of Histories
in Space

Hi,

牋� I think this paper might be fodder for a nice
discussion!

http://arxiv.org/abs/1301.5295


  About the Infinite Repetition of Histories in Space

Francisco Jos� Soler Gil

http://arxiv.org/find/physics/1/au:+Gil_F/0/1/0/all/0/1,�Manuel
Alfonseca
http://arxiv.org/find/physics/1/au:+Alfonseca_M/0/1/0/all/0/1
(Submitted on 22 Jan 2013 (v1
http://arxiv.org/abs/1301.5295v1), last revised 23
Jan 2013 (this version, v2))

This paper analyzes two different proposals, one
by Ellis and Brundrit, based on classical
relativistic cosmology, the other by Garriga and
Vilenkin, based on the DH interpretation of
quantum mechanics, both of which conclude that,
in an infinite universe, planets and living
beings must be repeated an infinite number of
times. We point to some possible shortcomings in
the arguments of these authors. We conclude that
the idea of an infinite repetition of histories
in space cannot be considered strictly speaking a
consequence of current physics and cosmology.
Such ideas should be seen rather as examples of
{\guillemotleft}ironic science{\guillemotright}
in the terminology of John Horgan.




--
Onward!

Stephen

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Re: About the Infinite Repetition of Histories in Space

2013-01-31 Thread Craig Weinberg


On Thursday, January 31, 2013 5:38:28 PM UTC-5, Stephen Paul King wrote:

  On 1/31/2013 4:46 PM, Telmo Menezes wrote:
  
 What's an entity?


 Any system whose canonical description can be associated with some 
 kind of fixed point theorem.


Nice. Interestingly this just came up on another list five minutes ago. 
Some interesting etymology too:

entity (n.)
1590s, from Late Latin entitatem (nom. entitas), from ens (genitive 
entis) a thing, proposed by Caesar as prp. of esse be (see is), to 
render Greek philosophical term to on that which is (from neuter of prp. 
of einai to be; see essence). Originally abstract; concrete sense in 
English is from 1620s.

entire (adj.) 
late 14c., from Old French entier whole, unbroken, intact, complete, 
from Latin integrum (nom. integer; see integer).

 A slightly different meaning when we formalize it... a literal entity has 
a thingness definable by position. A more figurative or casual reference 
could mean like a 'the aspect of a presence or representation which 
emphasizes its closure'.

Craig


  

 On Thu, Jan 31, 2013 at 7:10 PM, Stephen P. King 
 step...@charter.netjavascript:
  wrote:

  IMHO more than one universe per entity is unjustified. 



 On 1/31/2013 8:09 AM, Roger Clough wrote:

 Hi Telmo Menezes 
  
 IMHO more than one universe is unjustified.
  
  

 - Receiving the following content - 
 *From:* Telmo Menezes javascript: 
 *Receiver:* everything-list javascript: 
 *Time:* 2013-01-30, 12:10:08
 *Subject:* Re: About the Infinite Repetition of Histories in Space

  Hi Roger, 

  I find it harder to believe in finite universes. Why the precise 
 number, whatever it is?
  

 On Wed, Jan 30, 2013 at 12:46 PM, Roger Clough 
 rcl...@verizon.netjavascript:
  wrote:

  Hi Stephen P. King 
 �
 It's easier to believe in salvation through faith or UFOs than infinite 
 universes.
 �
 �

 - Receiving the following content - 
 *From:* Stephen P. King javascript: 
 *Receiver:* everything-list javascript: 
 *Time:* 2013-01-28, 09:20:33
 *Subject:* About the Infinite Repetition of Histories in Space
  
  Hi,

 牋� I think this paper might be fodder for a nice discussion!

 http://arxiv.org/abs/1301.5295

 About the Infinite Repetition of Histories in Space 
 Francisco Jos� Soler 
 Gilhttp://arxiv.org/find/physics/1/au:+Gil_F/0/1/0/all/0/1
 ,�Manuel 
 Alfonsecahttp://arxiv.org/find/physics/1/au:+Alfonseca_M/0/1/0/all/0/1
 (Submitted on 22 Jan 2013 (v1 http://arxiv.org/abs/1301.5295v1), last 
 revised 23 Jan 2013 (this version, v2))

 This paper analyzes two different proposals, one by Ellis and Brundrit, 
 based on classical relativistic cosmology, the other by Garriga and 
 Vilenkin, based on the DH interpretation of quantum mechanics, both of 
 which conclude that, in an infinite universe, planets and living beings 
 must be repeated an infinite number of times. We point to some possible 
 shortcomings in the arguments of these authors. We conclude that the idea 
 of an infinite repetition of histories in space cannot be considered 
 strictly speaking a consequence of current physics and cosmology. Such 
 ideas should be seen rather as examples of {\guillemotleft}ironic 
 science{\guillemotright} in the terminology of John Horgan.


  
 -- 
 Onward!

 Stephen

 

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Re: About the Infinite Repetition of Histories in Space

2013-01-31 Thread Stephen P. King

On 1/31/2013 6:12 PM, Craig Weinberg wrote:



On Thursday, January 31, 2013 5:38:28 PM UTC-5, Stephen Paul King wrote:

On 1/31/2013 4:46 PM, Telmo Menezes wrote:

What's an entity?


Any system whose canonical description can be associated with
some kind of fixed point theorem.


Nice. Interestingly this just came up on another list five minutes 
ago. Some interesting etymology too:


entity (n.)
1590s, from Late Latin entitatem (nom. entitas), from ens 
(genitive entis) a thing, proposed by Caesar as prp. of esse be 
(see is), to render Greek philosophical term to on that which is 
(from neuter of prp. of einai to be; see essence). Originally 
abstract; concrete sense in English is from 1620s.


entire (adj.)
late 14c., from Old French entier whole, unbroken, intact, 
complete, from Latin integrum (nom. integer; see integer).


 A slightly different meaning when we formalize it... a literal entity 
has a thingness definable by position. A more figurative or casual 
reference could mean like a 'the aspect of a presence or 
representation which emphasizes its closure'.


Craig

Hi Craig,

Position is one kind of dimension that is identifiable via a fixed 
point, for example: Craig is at such and such an address.


--
Onward!

Stephen

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Re: About the Infinite Repetition of Histories in Space

2013-01-30 Thread Roger Clough
Hi Stephen P. King 

It's easier to believe in salvation through faith or UFOs than infinite 
universes.


- Receiving the following content - 
From: Stephen P. King 
Receiver: everything-list 
Time: 2013-01-28, 09:20:33
Subject: About the Infinite Repetition of Histories in Space


Hi,

I think this paper might be fodder for a nice discussion!

http://arxiv.org/abs/1301.5295


About the Infinite Repetition of Histories in Space
Francisco José Soler Gil, Manuel Alfonseca
(Submitted on 22 Jan 2013 (v1), last revised 23 Jan 2013 (this version, v2))
This paper analyzes two different proposals, one by Ellis and Brundrit, based 
on classical relativistic cosmology, the other by Garriga and Vilenkin, based 
on the DH interpretation of quantum mechanics, both of which conclude that, in 
an infinite universe, planets and living beings must be repeated an infinite 
number of times. We point to some possible shortcomings in the arguments of 
these authors. We conclude that the idea of an infinite repetition of histories 
in space cannot be considered strictly speaking a consequence of current 
physics and cosmology. Such ideas should be seen rather as examples of 
{\guillemotleft}ironic science{\guillemotright} in the terminology of John 
Horgan.


-- 
Onward!

Stephen

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Re: About the Infinite Repetition of Histories in Space

2013-01-30 Thread Telmo Menezes
Hi Roger,

I find it harder to believe in finite universes. Why the precise number,
whatever it is?


On Wed, Jan 30, 2013 at 12:46 PM, Roger Clough rclo...@verizon.net wrote:

  Hi Stephen P. King

 It's easier to believe in salvation through faith or UFOs than infinite
 universes.



 - Receiving the following content -
 *From:* Stephen P. King stephe...@charter.net
 *Receiver:* everything-list everything-list@googlegroups.com
 *Time:* 2013-01-28, 09:20:33
 *Subject:* About the Infinite Repetition of Histories in Space

  Hi,

 I think this paper might be fodder for a nice discussion!

 http://arxiv.org/abs/1301.5295

 About the Infinite Repetition of Histories in Space
 Francisco José Soler 
 Gilhttp://arxiv.org/find/physics/1/au:+Gil_F/0/1/0/all/0/1
 , Manuel 
 Alfonsecahttp://arxiv.org/find/physics/1/au:+Alfonseca_M/0/1/0/all/0/1
 (Submitted on 22 Jan 2013 (v1 http://arxiv.org/abs/1301.5295v1), last
 revised 23 Jan 2013 (this version, v2))

 This paper analyzes two different proposals, one by Ellis and Brundrit,
 based on classical relativistic cosmology, the other by Garriga and
 Vilenkin, based on the DH interpretation of quantum mechanics, both of
 which conclude that, in an infinite universe, planets and living beings
 must be repeated an infinite number of times. We point to some possible
 shortcomings in the arguments of these authors. We conclude that the idea
 of an infinite repetition of histories in space cannot be considered
 strictly speaking a consequence of current physics and cosmology. Such
 ideas should be seen rather as examples of {\guillemotleft}ironic
 science{\guillemotright} in the terminology of John Horgan.


 --
 Onward!

 Stephen

 
 *DreamMail* - The first mail software supporting source tracking
 www.dreammail.org

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Re: About the Infinite Repetition of Histories in Space

2013-01-28 Thread meekerdb



Hi,

I think this paper might be fodder for a nice discussion!

http://arxiv.org/abs/1301.5295


  About the Infinite Repetition of Histories in Space

Francisco José Soler Gil 
http://arxiv.org/find/physics/1/au:+Gil_F/0/1/0/all/0/1,Manuel Alfonseca 
http://arxiv.org/find/physics/1/au:+Alfonseca_M/0/1/0/all/0/1
(Submitted on 22 Jan 2013 (v1 http://arxiv.org/abs/1301.5295v1), last revised 23 Jan 
2013 (this version, v2))


This paper analyzes two different proposals, one by Ellis and Brundrit, 
based on
classical relativistic cosmology, the other by Garriga and Vilenkin, based 
on the DH
interpretation of quantum mechanics, both of which conclude that, in an 
infinite
universe, planets and living beings must be repeated an infinite number of 
times. We
point to some possible shortcomings in the arguments of these authors. We 
conclude
that the idea of an infinite repetition of histories in space cannot be 
considered
strictly speaking a consequence of current physics and cosmology. Such 
ideas should
be seen rather as examples of {\guillemotleft}ironic 
science{\guillemotright} in the
terminology of John Horgan.



The idea that there are infinitely many universe (or an infinitely big one) and therefore 
everything must be repeated infinitely many times is incoherent.  If there's a copy of 
this universe, then it *IS* this universe by Leibniz's identity of indiscernibles.  
Similarly, if this universe is infinitely large it must have infinitely many different 
possible states - otherwise it would start repeating somewhere and, as I remarked above, a 
repeat is just the same thing double counted.  So what makes sense is to say the universe 
(whether conceived as spacetime or as a Hilbert space) is unbounded, it can always get 
bigger and have more states - which seems to be supported by the expansion of the universe.


Brent

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Re: About the Infinite Repetition of Histories in Space

2013-01-28 Thread Stephen P. King

On 1/28/2013 4:22 PM, meekerdb wrote:



Hi,

I think this paper might be fodder for a nice discussion!

http://arxiv.org/abs/1301.5295


  About the Infinite Repetition of Histories in Space

Francisco José Soler Gil 
http://arxiv.org/find/physics/1/au:+Gil_F/0/1/0/all/0/1,Manuel 
Alfonseca http://arxiv.org/find/physics/1/au:+Alfonseca_M/0/1/0/all/0/1
(Submitted on 22 Jan 2013 (v1 http://arxiv.org/abs/1301.5295v1), 
last revised 23 Jan 2013 (this version, v2))


This paper analyzes two different proposals, one by Ellis and
Brundrit, based on classical relativistic cosmology, the other by
Garriga and Vilenkin, based on the DH interpretation of quantum
mechanics, both of which conclude that, in an infinite universe,
planets and living beings must be repeated an infinite number of
times. We point to some possible shortcomings in the arguments of
these authors. We conclude that the idea of an infinite
repetition of histories in space cannot be considered strictly
speaking a consequence of current physics and cosmology. Such
ideas should be seen rather as examples of {\guillemotleft}ironic
science{\guillemotright} in the terminology of John Horgan.



The idea that there are infinitely many universe (or an infinitely big 
one) and therefore everything must be repeated infinitely many times 
is incoherent.  If there's a copy of this universe, then it *IS* this 
universe by Leibniz's identity of indiscernibles. Similarly, if this 
universe is infinitely large it must have infinitely many different 
possible states - otherwise it would start repeating somewhere and, as 
I remarked above, a repeat is just the same thing double counted.  So 
what makes sense is to say the universe (whether conceived as 
spacetime or as a Hilbert space) is unbounded, it can always get 
bigger and have more states - which seems to be supported by the 
expansion of the universe.


Brent
--


Hi Brent,

I agree, but we also have to count those universes that are 
conformally isomorphic as Leibniz equivalent as well, which identifies 
all the different sized versions of a given universe.


--
Onward!

Stephen

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Re: About the Infinite Repetition of Histories in Space

2013-01-28 Thread Russell Standish
On Mon, Jan 28, 2013 at 01:22:22PM -0800, meekerdb wrote:
 
 The idea that there are infinitely many universe (or an infinitely
 big one) and therefore everything must be repeated infinitely many
 times is incoherent.  If there's a copy of this universe, then it
 *IS* this universe by Leibniz's identity of indiscernibles.
 Similarly, if this universe is infinitely large it must have
 infinitely many different possible states - otherwise it would start
 repeating somewhere and, as I remarked above, a repeat is just the
 same thing double counted.  So what makes sense is to say the
 universe (whether conceived as spacetime or as a Hilbert space) is
 unbounded, it can always get bigger and have more states - which
 seems to be supported by the expansion of the universe.
 
 Brent
 

Or the flipside is that a universe with finite number of states must
be bounded in space and time.

What I wonder is the case where the universe has a countably infinite
number of states?

Cheers

-- 


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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