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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 261,900 of 262,912    |
|    polcott to Tristan Wibberley    |
|    Re: The correct foundation of the theory    |
|    14 Dec 25 10:16:26    |
      XPost: comp.theory, sci.math       From: polcott333@gmail.com              On 12/14/2025 6:51 AM, Tristan Wibberley wrote:       > On 13/12/2025 19:50, olcott wrote:       >> On 12/13/2025 1:33 PM, Tristan Wibberley wrote:       >>> On 13/12/2025 16:44, olcott wrote:       >       >>>> Turing machine Deciders are a subset of this       >>>> where the value indicates accept or reject a       >>>> finite string by some criterion measure.       >>>       >>> I continue to reject the use of "accept" and "reject" here. And I also       >>> reject the use of "indicates" wrt to them.       >>>       >>       >> My goal is to have accepted definitions as my only basis.       >       > Oh! I just noticed it's a new statement with "by some criterion measure"       > which makes it excellent. I retract my rejection.       >              Good.              This is my first post on the halting Problem       https://groups.google.com/g/sci.logic/c/V7wzVvx8IMw/m/ggPE6a-60cUJ              I worked for 15 years mostly on the basis of intuition.       Then 2 more years creating fully operational code. Then       3 years of discussing this code.              Now I am finally getting around to anchoring these       intuitions and my working code in standard definitions.              My current working code.       https://github.com/plolcott/x86utm/blob/master/Halt7.c              I had to refrain from learning the standard definitions       before now or they would have boxed me into the standard       views.              My insights are entirely from slight nuances of meaning       that are abstracted away in the standard definitions.              I had to carefully reverse-engineer the exact details       of what was actually happening before I could see what       nuances of meaning were being left out. Initially I       had to use my own non-standard terminology to do this.              This is my first principle       All Turing machines only compute the mapping       from input finite strings to some value.              Second Principle       Turing machine Deciders are a subset of this       where the value indicates accept or reject a       finite string by some criterion measure.              Third Principle (rough draft)       Turing machine halt deciders only report on       the behavior of Turing Machines through the       proxy of finite string inputs. The behavior       specified by the finite string input overrules       any other behavior.              >       > [snip]       >> This is a grammatically correct English sentence:       >> "flpm erf09-25k (*&j^*&NJ*&jkNef", reject.       >       >       > That's impertinent.       >       >              Sometimes required to put things in sharp focus.       I just proved that reject is a valid operation.                     --       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       for correct reasoning.              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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