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|    sci.logic    |    Logic -- math, philosophy & computationa    |    262,912 messages    |
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|    =?UTF-8?Q?Boiling_G=C3=B6del=27s_1931_In    |
|    01 Jan 26 08:45:19    |
      XPost: comp.theory, sci.math, comp.ai.philosophy       From: polcott333@gmail.com              *When we analyze this one statement made in isolation*              ...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.              Nothing can prove that itself does not exist.       Any such proof would be self-refuting.              Gödel, Kurt 1931.       On Formally Undecidable Propositions of       Principia Mathematica And Related Systems                            --       Copyright 2025 Olcott |
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