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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    Message 262,287 of 262,912    |
|    olcott to Richard Damon    |
|    =?UTF-8?Q?Re=3A_Boiling_G=C3=B6del=27s_1    |
|    01 Jan 26 14:03:50    |
      XPost: comp.theory, sci.math, comp.ai.philosophy       From: polcott333@gmail.com              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.              --       Copyright 2025 Olcott |
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