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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 262,288 of 262,912    |
|    olcott to Richard Damon    |
|    =?UTF-8?Q?Re=3A_Boiling_G=C3=B6del=27s_1    |
|    01 Jan 26 15:46:53    |
      XPost: comp.theory, sci.math, comp.ai.philosophy       From: polcott333@gmail.com              On 1/1/2026 2:13 PM, Richard Damon wrote:       > On 1/1/26 3:03 PM, olcott wrote:       >> On 1/1/2026 12:57 PM, Richard Damon wrote:       >>> On 1/1/26 1:08 PM, olcott wrote:       >>>> On 1/1/2026 11:30 AM, Richard Damon wrote:       >>>>> On 1/1/26 9:45 AM, olcott wrote:       >>>>>> *When we analyze this one statement made in isolation*       >>>>>       >>>>> Which is invalid, as it ignore the context of the statement.       >>>>>       >>>>>>       >>>>>> ...We are therefore confronted with a proposition which       >>>>>> asserts its own unprovability. … (Gödel 1931:40-41)       >>>>>>       >>>>>> G asserts its own unprovability.       >>>>>>       >>>>>> G asserts that there are no sequence of inference       >>>>>> steps that prove that they themselves do not exist.       >>>>>       >>>>> No, G asserts, by its interpretation in M, a meta-system of F with       >>>>> additional axioms, that there exist no FINITE sequence of inference       >>>>> steps IN F that prove the statement G.       >>>>>       >>>>       >>>> That is not what G itself says. That is merely the       >>>> extra baggage of one man's way of examining G.       >>>       >>> RIght, G itself say that there exsits no number that       >>>       >>>>       >>>> The barest essence of G is:       >>>> G asserts its own unprovability.       >>>       >>> Nope, that it the INTERPRETATION of G, which can only be seen in the       >>> meta system.       >>>       >>> The barest essential of G is what G actually says, which is that no       >>> number g exist that meets the requirements of that given relationship.       >>>       >>       >> The barest essence of that English sentence       >> taken in isolation: G asserts its own unprovability.       >>       >       > You don't seem to understand that you can't take sentences out of       > context and understand what they mean.       >              You don't understand that it still       retains the compositional meaning       of the meaning of its words.              ...We are therefore confronted with a proposition which       asserts its own unprovability. … (Gödel 1931:40-41)              > I guess you are just proving that you are just too stupid to understand       > the basics of communication, or sematics.       >       >                     --       Copyright 2025 Olcott |
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