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- Gödel's_completeness_theorem abstract "Gödel's completeness theorem is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability in first-order logic. It makes a close link between model theory that deals with what is true in different models, and proof theory that studies what can be formally proven in particular formal systems.It was first proved by Kurt Gödel in 1929. It was then simplified in 1947, when Leon Henkin observed in his Ph.D. thesis that the hard part of the proof can be presented as the Model Existence Theorem (published in 1949). Henkin's proof was simplified by Gisbert Hasenjaeger in 1953.".
- Gödel's_completeness_theorem wikiPageID "12450".
- Gödel's_completeness_theorem wikiPageRevisionID "606334882".
- Gödel's_completeness_theorem subject Category:Metatheorems.
- Gödel's_completeness_theorem subject Category:Model_theory.
- Gödel's_completeness_theorem subject Category:Proof_theory.
- Gödel's_completeness_theorem subject Category:Theorems_in_the_foundations_of_mathematics.
- Gödel's_completeness_theorem comment "Gödel's completeness theorem is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability in first-order logic. It makes a close link between model theory that deals with what is true in different models, and proof theory that studies what can be formally proven in particular formal systems.It was first proved by Kurt Gödel in 1929. It was then simplified in 1947, when Leon Henkin observed in his Ph.D.".
- Gödel's_completeness_theorem label "Gödel's completeness theorem".
- Gödel's_completeness_theorem label "Gödelscher Vollständigkeitssatz".
- Gödel's_completeness_theorem label "Teorema da completude de Gödel".
- Gödel's_completeness_theorem label "Teorema de completitud de Gödel".
- Gödel's_completeness_theorem label "Teorema di completezza di Gödel".
- Gödel's_completeness_theorem label "Théorème de complétude de Gödel".
- Gödel's_completeness_theorem label "Volledigheidsstelling van Gödel".
- Gödel's_completeness_theorem label "Теорема Гёделя о полноте".
- Gödel's_completeness_theorem label "ゲーデルの完全性定理".
- Gödel's_completeness_theorem label "哥德尔完备性定理".
- Gödel's_completeness_theorem sameAs G%C3%B6del's_completeness_theorem.
- Gödel's_completeness_theorem sameAs Gödelova_věta_o_úplnosti_predikátové_logiky.
- Gödel's_completeness_theorem sameAs Gödelscher_Vollständigkeitssatz.
- Gödel's_completeness_theorem sameAs Teorema_de_completitud_de_Gödel.
- Gödel's_completeness_theorem sameAs Théorème_de_complétude_de_Gödel.
- Gödel's_completeness_theorem sameAs Teorema_di_completezza_di_Gödel.
- Gödel's_completeness_theorem sameAs ゲーデルの完全性定理.
- Gödel's_completeness_theorem sameAs 괴델의_완전성_정리.
- Gödel's_completeness_theorem sameAs Volledigheidsstelling_van_Gödel.
- Gödel's_completeness_theorem sameAs Teorema_da_completude_de_Gödel.
- Gödel's_completeness_theorem sameAs Q902052.
- Gödel's_completeness_theorem sameAs Q902052.
- Gödel's_completeness_theorem wasDerivedFrom Gödel's_completeness_theorem?oldid=606334882.