XPost: comp.theory   
   From: pa@see.signature.invalid   
      
   In sci.logic Tristan Wibberley  wrote:   
   > On 29/12/2025 13:37, Richard Damon wrote:   
      
   > > Incompleteness is a property of a given Formal System, it says that   
   > > there exist a statement that is true in that system, but can not be   
   > > proven in that system.   
      
   > What do you mean by "proven" here. Do you mean "derived" ?   
      
   I think Richard misspoke slightly. The undecidable statement is   
   true *in the intended interpretation* of the formal system   
   (In Goedel's case, the natural numbers with addition and multiplication).   
      
   Truth "in the formal system" isn't really defined. You need an   
   interpretation.   
      
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   pa at panix dot com   
      
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