KnowraGödel's incompleteness theoremsLinked fromLinked fromThe 58 pages that link to Gödel's incompleteness theorems, each with the reason it gives.All 58Broader topic 9Related 36Narrower topic 4Compared with 9Axiom (general principle)Related: They constrain what any suitable arithmetic axiom system can establish internally.CodeBroader topic: Gödel coding makes formal syntax available to arithmetic.Douglas HofstadterBroader topic: Hofstadter uses their self-referential structure as a model for discussions of minds.Löb's theoremRelated: Löb’s theorem uses related self-reference and provability methods but yields a distinct conditional conclusion.S-m-n theoremCompared with: Both use effective coding, but incompleteness concerns formal provability rather than program specialization.Axiom (mathematics and logic)Related: They constrain what any suitable arithmetic axiom system can prove about itself.Mathematical conceptsBroader topic: They establish limits on what formal mathematical systems can prove.Turing's proofRelated: Both results expose limits of formal methods, though they concern different notions of provability and computation.Previous2 of 2