Yes, Professor, for me 10^10^100000 is a Real Number.

I will define "pebbles" as nuggets of silicon-oxdie-ferrites, that mass at 
under 1400 grams, down to 2 milligrams. This is totally arbitrary a 
description, which I am content with.

Platonic programs are likely not a bomb, but an area of mathematical physics 
that will need to be hunted for by very, bright, researchers. This is just like 
Stephen Wolfram's view that specific cosmic existences, even intelligences, all 
by computing sequences, or sets. Do I agree with this, well, I'd like to. 

 

 

 

-----Original Message-----
From: Bruno Marchal <[email protected]>
To: everything-list <[email protected]>
Sent: Mon, Jun 29, 2015 9:24 am
Subject: Re: A riddle for John Clark


 
 
  
On 29 Jun 2015, at 01:34, spudboy100 via Everything List wrote:  
  
  
   Take an intelligent observer counting pebbles on a rocky beach (a not very 
wise observer) thus, an unknown quantity, become computable.  
  
   
  
  
A function from N to N is computable if a fixed finite machine can find the 
right (finite) output when presented an (finite) input, and this in a finite 
time.  
  
   
  
  
Counting pebble is ambiguous. We lack a definition of pebble, counting, etc.  
  
   
  
  
   
  
  
   
  
  
  
    It's not computable if there's nobody to do the counting.  
  
   
  
  
   
  
  
Well, you might confuse computable and computed.  
  
   
  
  
Once we accept Church's thesis (one half of computationalism) a function ( a 
subset of NxN) is computable, or not. Either the machine exists, or not, 
independently of the fact that the machine is build or not.  
  
   
  
  
Do you agree that above 1000^1000 there are still prime numbers? If yes, such a 
notion of computability should make sense to you.  
  
   
  
  
   
  
  
  
    In your view, the platonist must incur embedded programs, although Plato 
may never have dreamed of a program, or what it was?
  
  
   
  
  
   
  
Yes, that is the big bomb in Platonism: the discovery of the universal machine 
and the notion of programs/machines/numbers/codes. Maybe the first Platonists 
would not have appreciated them, as it introduces chaos in Platonia, but 
eventually this is what saves platonism and neoplatonism from inconsistency, 
even if the price can be judged big: the long term abandon of the idea of 
material reality, which appears, when we bet on mechanism, as a sort of 
unusable phlogiston.   
  
   
  
  
Bruno  
  
   
  
  
   
  
  
   
  
  
   
  
  
  
    
 
     
-----Original Message-----     
 From: Bruno Marchal <     [email protected]>     
 To: everything-list <     [email protected]>     
 Sent: Sun, Jun 28, 2015 11:13 am     
 Subject: Re: A riddle for John Clark     
      
      
       
        
        
         
 On 28 Jun 2015, at 15:07, spudboy100 via Everything List wrote:         
         
         
          My retort is: I am material, I, as a body follow the laws of physics 
and chemistry, thus, I am computable, (Does not compute! exclaimed the Robot 
from Lost in Space).           
         
          
         
         
 It is not obvious that "physical" entails "computable".         
         
          
         
         
 Arithmetical, for example, does not entail computable, although the reverse is 
true.         
         
          
         
         
 Bruno         
         
          
         
         
          
         
         
          
         
         
         
                     
            
           
           
            
           
           
            
           
           
 -----Original Message-----            
 From: Bruno Marchal <            [email protected]>            
 To: everything-list <            [email protected]>            
 Sent: Sun, Jun 28, 2015 5:24 am            
 Subject: Re: A riddle for John Clark            
            
            
             
              
              
               
 On 27 Jun 2015, at 13:33, spudboy100 via Everything List wrote:               
               
               
                I was thinking of Heisenberg's uncertainty principle, when I 
wrote that yesterday. Yet, there are papers based on experiments weaken the 
hold that Heisenberg portrays. I am betting that all things are computable and 
there is nothing that can be considered non computable. I guess that at the 
root of everything that occurs, be it human spit, or a galaxy, are all based, 
or derived from computation. Indeed, that a great computation set off the Big 
Bang, and that computation yields everything from stones to stellar gases. Am I 
convincing? No. Because I am stating what I suspect is true. Any and all may 
disagree. Can love be computable? Well, yes, or at least aspects of it. 
Moreover, I don't see where all things cannot be computable. 
 
 This is not a life-long belief, but something I arrived at recently, after 
viewing papers and articles in physics and computing. If its all numbers 
organized into equations, and equations arranged into coding, I can't see how I 
can be wrong.
                
               
                
               
               
 You described the point which starts this all. But you seem to forget the FPI. 
The idea that the whole of physics is computable is inconsistent. It would 
entail that "I am computable", and this entails, by the FPI, that physics is 
not computable a priori (or that my generalized brain is the whole universe).   
            
               
                
               
               
 Bruno               
               
                
               
               
                
               
               
               
                 
 Mitch
                  
                  
                 
                 
                  
                 
                 
                  
                 
                 
 -----Original Message-----                  
 From: Stathis Papaioannou <                  [email protected]>               
   
 To: everything-list <                  [email protected]>       
           
 Sent: Fri, Jun 26, 2015 11:08 pm                  
 Subject: Re: A riddle for John Clark                  
                  
                  
                   
                   
 On Saturday, June 27, 2015, spudboy100 via Everything List <                   
[email protected]> wrote:                   
                   
 But surely phenomena in quantum physics and Conways Life are random, but 
computable?                     
                   
                   
                    
                   
                   
 GOL is deterministic. Quantum mechanics (under any interpretation) results in 
true randomness which is not computable. For example, it is impossible to 
predict if an isotope will decay in a particular time period. Under the MWI 
quantum mechanics is deterministic: the isotope will definitely decay in one 
universe and not decay in another. However, an observer cannot predict which 
universe he will end up in, so non-computable randomness returns, despite the 
overall determinism.                                       
                   
                   
 --                   
 Stathis Papaioannou                   
                   
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