Re: Tim Maudlin

2013-02-27 Thread Stephen P. King

On 2/27/2013 9:14 PM, Bruno Marchal wrote:
The UD is one program. It is one string. And UD* is an infinitely 
complex structure, roughly equivalent to sigma_1 truth, and structured 
from inside by the 8 hypostases, none being boolean.

Hi Bruno,

Sigma_1 logic is more powerful than Boolean algebras, but this does 
not allow Sigma_N logics to escape from the necessity of satisfiability.


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Re: Tim Maudlin

2013-02-27 Thread Stephen P. King

On 2/27/2013 9:14 PM, Bruno Marchal wrote:

On 27 Feb 2013, at 13:58, Stephen P. King wrote:


On 2/27/2013 5:18 AM, Bruno Marchal wrote:

[SPK] Are subsets of the UD equivalent to a Boolean Algebra?


The UD is not a set.


Dear Bruno,

   Why are you such a literalist?


Don't use technical terms, in that case.


Don't be such a hidebound stiff!




 Are the strings that make up the UD equivalent to a Boolean algebra?


The UD is one program. It is one string. And UD* is an infinitely 
complex structure, roughly equivalent to sigma_1 truth, and structured 
from inside by the 8 hypostases, none being boolean.




The UD is not an infinite number of Turing machine algorithms 
dovetailed together? There is no relation between a Turing Machine and a 
Boolean Algebra? I suspect that you know the relation but are not 
willing to discuss it! I think that you are evading my question!




Bruno 



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Re: Tim Maudlin

2013-02-27 Thread Bruno Marchal


On 27 Feb 2013, at 13:58, Stephen P. King wrote:


On 2/27/2013 5:18 AM, Bruno Marchal wrote:

[SPK] Are subsets of the UD equivalent to a Boolean Algebra?


The UD is not a set.


Dear Bruno,

   Why are you such a literalist?


Don't use technical terms, in that case.




 Are the strings that make up the UD equivalent to a Boolean algebra?


The UD is one program. It is one string. And UD* is an infinitely  
complex structure, roughly equivalent to sigma_1 truth, and structured  
from inside by the 8 hypostases, none being boolean.



Bruno






But doing some effort to translate what you say, the answer is NO.  
You can make the UD into a set by modeling it by the set of sigma_1  
sentences.  But the negation of a sigma_1 sentence is not  
necessarily sigma_1, so it gives not a boolean algebra.



   I was only using the word 'subset' to indicate the components of  
the UD, not a literal subset. Since the UD is not a set, it  
obviously cannot have subsets, so you should be able to deduce that  
I am not asking a question that implies otherwise. Let us try again.  
Are the components of the UD equivalent to Boolean algebras? Yes or  
No. If not, what relation do they have with boolean algebras?




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



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Re: Tim Maudlin

2013-02-27 Thread Stephen P. King

On 2/27/2013 5:18 AM, Bruno Marchal wrote:

[SPK] Are subsets of the UD equivalent to a Boolean Algebra?


The UD is not a set.


Dear Bruno,

Why are you such a literalist?Are the strings that make up the 
UD equivalent to a Boolean algebra?




But doing some effort to translate what you say, the answer is NO. You 
can make the UD into a set by modeling it by the set of sigma_1 
sentences.  But the negation of a sigma_1 sentence is not necessarily 
sigma_1, so it gives not a boolean algebra.



I was only using the word 'subset' to indicate the components of 
the UD, not a literal subset. Since the UD is not a set, it obviously 
cannot have subsets, so you should be able to deduce that I am not 
asking a question that implies otherwise. Let us try again. Are the 
components of the UD equivalent to Boolean algebras? Yes or No. If not, 
what relation do they have with boolean algebras?




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Onward!

Stephen


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Re: Tim Maudlin

2013-02-27 Thread Bruno Marchal


On 26 Feb 2013, at 19:57, Stephen P. King wrote:


On 2/26/2013 6:02 AM, Bruno Marchal wrote:


On 26 Feb 2013, at 01:39, Stephen P. King wrote:


Dear Bruno,

  Have you seen how Tim Maudlin is now a vigorous proponent of the  
existence of Time as Fundamental?


In his paper on comp, he seems to favor materialism against comp,  
so this is not so astonishing. Likewise he depart from the MWI.


Hi Bruno,

   Yes, I agree, he does seem to assume some form of physicalism.






Could subsets of your UD be the Stone dual of a line, as Maudlin  
defines them?




   Are subsets of the UD equivalent to a Boolean Algebra?


The UD is not a set.

But doing some effort to translate what you say, the answer is NO. You  
can make the UD into a set by modeling it by the set of sigma_1  
sentences.  But the negation of a sigma_1 sentence is not necessarily  
sigma_1, so it gives not a boolean algebra.


Bruno







Please elaborate.

Bruno




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



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Re: Tim Maudlin

2013-02-26 Thread Stephen P. King

On 2/26/2013 6:02 AM, Bruno Marchal wrote:


On 26 Feb 2013, at 01:39, Stephen P. King wrote:


Dear Bruno,

   Have you seen how Tim Maudlin is now a vigorous proponent of the 
existence of Time as Fundamental?


In his paper on comp, he seems to favor materialism against comp, so 
this is not so astonishing. Likewise he depart from the MWI.


Hi Bruno,

Yes, I agree, he does seem to assume some form of physicalism.






Could subsets of your UD be the Stone dual of a line, as Maudlin 
defines them?




Are subsets of the UD equivalent to a Boolean Algebra?



Please elaborate.

Bruno




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Stephen


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Re: Tim Maudlin

2013-02-26 Thread Bruno Marchal


On 26 Feb 2013, at 01:39, Stephen P. King wrote:


Dear Bruno,

   Have you seen how Tim Maudlin is now a vigorous proponent of the  
existence of Time as Fundamental?


In his paper on comp, he seems to favor materialism against comp, so  
this is not son astonishing. Likewise he depart from the MWI.





Could subsets of your UD be the Stone dual of a line, as Maudlin  
defines them?


Please elaborate.

Bruno




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Onward!

Stephen


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



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