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   sci.logic      Logic -- math, philosophy & computationa      262,912 messages   

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   Message 262,279 of 262,912   
   olcott to Richard Damon   
   Re: have we been misusing incompleteness   
   31 Dec 25 19:04:07   
   
   XPost: comp.theory, sci.math, comp.ai.philosophy   
   From: polcott333@gmail.com   
      
   On 12/31/2025 6:35 PM, Richard Damon wrote:   
   > On 12/31/25 7:23 PM, olcott wrote:   
   >> On 12/31/2025 5:27 PM, Richard Damon wrote:   
   >>> On 12/31/25 6:08 PM, olcott wrote:   
   >>>> On 12/31/2025 4:48 PM, Richard Damon wrote:   
   >>>>> On 12/31/25 5:42 PM, olcott wrote:   
   >>>>>> On 12/31/2025 4:09 PM, Richard Damon wrote:   
   >>>>>>> On 12/31/25 4:59 PM, olcott wrote:   
   >>>>>>>> On 12/31/2025 3:56 PM, Richard Damon wrote:   
   >>>>>>>>> On 12/31/25 4:52 PM, olcott wrote:   
   >>>>>>>>>> On 12/31/2025 3:16 PM, Pierre Asselin wrote:   
   >>>>>>>>>>> In sci.logic Tristan Wibberley   
   >>>>>>>>>>>  wrote:   
   >>>>>>>>>>>   
   >>>>>>>>>>>> [ ... ]   
   >>>>>>>>>>>> Then he defines a new system "P" which he uses to get even   
   >>>>>>>>>>>> more muddled,   
   >>>>>>>>>>>> leaves out the crucial elements of his proof because it's   
   >>>>>>>>>>>> too easy to   
   >>>>>>>>>>>> get wrong,   
   >>>>>>>>>>>   
   >>>>>>>>>>> Gödel, muddled? He was the most meticulous sonovabitch that ever   
   >>>>>>>>>>> lived!   
   >>>>>>>>>>>   
   >>>>>>>>>>>   
   >>>>>>>>>>>> and Stephen Meyer says he does get it wrong; he seems to be   
   >>>>>>>>>>>> the only person in the world that ever checked.   
   >>>>>>>>>>>   
   >>>>>>>>>>> People have misunderstood Gödel and proved it by their comments.   
   >>>>>>>>>>> I don't know who Stephen Meyer is; my money is on Gödel.   
   >>>>>>>>>>>   
   >>>>>>>>>>   
   >>>>>>>>>> Gödel proved that there cannot possibly exist any   
   >>>>>>>>>> sequence of inference steps in F prove that they   
   >>>>>>>>>> themselves do not exist.   
   >>>>>>>>>   
   >>>>>>>>> No *FINITE* sequence of inference steps.   
   >>>>>>>>>   
   >>>>>>>>   
   >>>>>>>> Nothing can prove that itself does not   
   >>>>>>>> exist because that forms proof that it   
   >>>>>>>> does exist, dumbo.   
   >>>>>>>   
   >>>>>>> So you are just ignoring context because you are stupid.   
   >>>>>>>   
   >>>>>>> The statement, with the added information of the meta-system   
   >>>>>>> proves (by a proof in the meta system) that the statment is true.   
   >>>>>>>   
   >>>>>>   
   >>>>>> Something else can prove that X cannot prove that   
   >>>>>> X does not exist, AKA your meta-system.   
   >>>>>>   
   >>>>>> Nothing can directly prove that itself does not   
   >>>>>> exist because this forms proof that it does exist.   
   >>>>>>   
   >>>>>>   
   >>>>>   
   >>>>> Nope, got a source for that?   
   >>>>>   
   >>>>> Why does my explanation not work?   
   >>>>>   
   >>>>   
   >>>> It is not that your explanation doesn't work.   
   >>>> It is that it ignores the root cause of why   
   >>>> G is unprovable in F.   
   >>>   
   >>> So, how do you think you can prove it in F?   
   >>>   
   >>   
   >> Nothing can prove that itself does not exist.   
   >> Any such proof would be self-refuting.   
   >>   
   >   
   > But it isn't the PROOF that does the proving, it is the statement.   
   >   
   > THe statement G exist, and it is True.   
   >   
      
   ...We are therefore confronted with a proposition which   
   asserts its own unprovability. 15 … (Gödel 1931:40-41)   
      
   When we name this proposition G then a proof of G   
   would be a sequence of inference steps that prove   
   that they themselves do not exist.   
      
   Anything that asserts its own non-existence   
   is necessarily incorrect.   
      
   > Because it is true, and can be proven with the additional knowledge and   
   > tools  of the meta-system, it shows that without the addtional knowledge   
   > and tools you can't make the proof.   
   >   
   > It seems you don't understand that the base system and the meta system   
   > are different.   
   >   
   > Boy, are you stupid.   
      
      
   --   
   Copyright 2025 Olcott

              My 28 year goal has been to make
       "true on the basis of meaning expressed in language"
       reliably computable.

              This required establishing a new foundation
              --- SoupGate-DOS v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)   

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