XPost: comp.theory, sci.logic   
   From: tristan.wibberley+netnews2@alumni.manchester.ac.uk   
      
   On 13/12/2025 23:02, Richard Damon wrote:   
   > ... the use of a string proxy is just normally assumed by the theory, as   
   > that is how Turing Machine work.   
   >   
   > They almost ALWAYS work by a string representation proxy, as very few   
   > real questions are based on the "arbitrary" symbol set of the Turing   
   > Machines native operation.   
   >   
   > If you had bothered to learn the basics of the field, you would have   
   > understood that.   
   >   
   > Most works assume the basic knowledge of the field.   
      
   I just checked Turings "On computable numbers":   
      
   "We may compare a man in the process of computing a real number to a   
   machine which is only capable of a finite number of conditions q1: q2.   
   .... qI;   
   which will be called ' m-configurations '"   
      
   He has restricted the problem to those machines that are not real   
   because real machines are supposed to be capable of an infinite number   
   of conditions.   
      
   However, his definition of "tape" doesn't clearly exclude real ribbons   
   (perhaps that's why he chose the word "tape") but he does say "analogue   
   of paper" and has establish discrete unreal models as the domain of   
   discussion.   
      
   On close inspection I think it's fair to say Turing's machines are   
   entirely unreal and do not occupy spacetime.   
      
      
   --   
   Tristan Wibberley   
      
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