Re: Zuse Symposium: Is the universe a computer? Berlin Nov 6-7

2006-11-06 Thread Bruno Marchal
Le 06-nov.-06, à 03:46, [EMAIL PROTECTED] wrote: Bruno Marchal wrote: It is not a question of existence but of definability. For example you can define and prove (by Cantor diagonalization) the existence of uncountable sets in ZF which is a first order theory of sets. Now uncountability

Re: Zuse Symposium: Is the universe a computer? Berlin Nov 6-7

2006-11-06 Thread James N Rose
With apologies that I have not been following the discussion under this subject header, but a question occurred to me that goes beyond the conventional notion of computation as regards 'computer/computing' operations. Are any models of 'theoretical' computers (or more properly: 'computation

Re: Zuse Symposium: Is the universe a computer? Berlin Nov 6-7

2006-11-06 Thread John M
Thanks, Bruno, now I have an URL for the archive, pretty comprehensive, the puzzle still prevails (not as one YOU should be concerned about): 1. why did not show up the post in the mailing as sent? 2. how come the archive got it as [EMAIL PROTECTED] i.e. the old address, when the list turned

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

2006-11-06 Thread Colin Geoffrey Hales
Hi, Having got deeper into the analysis, what I have found is that EC is literally an instantated lamba calculus by Church. So all I have to do is roughly axiomatise EC in Church's form and I'm done. So that is what I am doing. I'll be directly referring to church's original work. Once that is

Re: Zuse Symposium: Is the universe a computer? Berlin Nov 6-7

2006-11-06 Thread John M
Addition to my lost and found 1st post in this topic to Marc: I wonder how would you define besides 'universe' and 'computer' the IS ? * I agree that 'existence' is more than a definitional question. Any suggestion yet of an (insufficient?) definition? (Not Descartes' s I think

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

2006-11-06 Thread Colin Geoffrey Hales
TEST: resend...some sort of bounce thing happened with the mailer Hi, Having got deeper into the analysis, what I have found is that EC is literally an instantated lamba calculus by Church. So all I have to do is roughly axiomatise EC in Church's form and I'm done. So that is what I am doing.

Re: Zuse Symposium: Is the universe a computer? Berlin Nov 6-7

2006-11-06 Thread Colin Geoffrey Hales
Addition to my lost and found 1st post in this topic to Marc: I wonder how would you define besides 'universe' and 'computer' the IS ? * I agree that 'existence' is more than a definitional question. Any suggestion yet of an (insufficient?) definition? (Not Descartes' s I