KnowraKurt GödelLinked fromLinked fromThe 23 pages that link to Kurt Gödel, each with the reason it gives.All 23Related 21Compared with 2David HilbertCompared with: Gödel’s results overturned the strongest consistency ambitions of Hilbert’s program.John von NeumannRelated: Gödel’s results challenged the Hilbertian program von Neumann had hoped to complete.Continuum hypothesisRelated: His constructible-universe argument established relative consistency with CH.Church–Turing thesisRelated: Gödel engaged with formal definitions of calculability and later endorsed Turing's analysis.Computability theoryRelated: His work on formal systems and primitive recursive functions shaped early computability research.Gödel numberingRelated: His 1931 proof made systematic use of numerical codes for expressions and proofs.Mathematical logicRelated: His results transformed expectations about what formalization could achieve.Alonzo ChurchRelated: Gödel’s results and correspondence helped shape Church’s approach to formal systems and computability.Institute for Advanced StudyRelated: He joined the Institute’s School of Mathematics and worked there for decades.Diagonal argumentRelated: Gödel adapted self-reference into a proof of limits on formal mathematical systems.Gödel's completeness theoremRelated: Gödel proved the completeness theorem in his 1929 doctoral dissertation.Forcing (mathematics)Related: His inner-model result supplied the consistency direction that Cohen’s forcing complemented.Gödel's constructible universeRelated: He introduced the constructible universe and proved its principal consistency results.Axiom of constructibilityRelated: Gödel developed L and proved the relative-consistency results underlying the axiom.Felix HausdorffRelated: Gödel later developed set-theoretic results connected to questions Hausdorff had studied.History of logicRelated: His results exposed limits in the formal systems central to twentieth-century logic.PlatonismRelated: Gödel gave a prominent twentieth-century defense of access to objective mathematical reality.Theoretical computer scienceRelated: His results linked formal proof to fundamental limits on mechanical reasoning.Douglas HofstadterRelated: Gödel’s theorems anchor Hofstadter’s account of formal systems and self-reference.General recursive functionRelated: Gödel developed recursive-function methods in the formal analysis of arithmetic.Gravity's RainbowCompared with: His work offers a historical counterpoint to the novel’s desire for total explanations.Diamond principleRelated: His constructible universe supplied the setting in which diamond was later proved.Rebecca GoldsteinRelated: Goldstein presents his mathematical achievements together with his metaphysical realism and personal history.
KnowraKurt GödelLinked fromLinked fromThe 23 pages that link to Kurt Gödel, each with the reason it gives.All 23Related 21Compared with 2David HilbertCompared with: Gödel’s results overturned the strongest consistency ambitions of Hilbert’s program.John von NeumannRelated: Gödel’s results challenged the Hilbertian program von Neumann had hoped to complete.Continuum hypothesisRelated: His constructible-universe argument established relative consistency with CH.Church–Turing thesisRelated: Gödel engaged with formal definitions of calculability and later endorsed Turing's analysis.Computability theoryRelated: His work on formal systems and primitive recursive functions shaped early computability research.Gödel numberingRelated: His 1931 proof made systematic use of numerical codes for expressions and proofs.Mathematical logicRelated: His results transformed expectations about what formalization could achieve.Alonzo ChurchRelated: Gödel’s results and correspondence helped shape Church’s approach to formal systems and computability.Institute for Advanced StudyRelated: He joined the Institute’s School of Mathematics and worked there for decades.Diagonal argumentRelated: Gödel adapted self-reference into a proof of limits on formal mathematical systems.Gödel's completeness theoremRelated: Gödel proved the completeness theorem in his 1929 doctoral dissertation.Forcing (mathematics)Related: His inner-model result supplied the consistency direction that Cohen’s forcing complemented.Gödel's constructible universeRelated: He introduced the constructible universe and proved its principal consistency results.Axiom of constructibilityRelated: Gödel developed L and proved the relative-consistency results underlying the axiom.Felix HausdorffRelated: Gödel later developed set-theoretic results connected to questions Hausdorff had studied.History of logicRelated: His results exposed limits in the formal systems central to twentieth-century logic.PlatonismRelated: Gödel gave a prominent twentieth-century defense of access to objective mathematical reality.Theoretical computer scienceRelated: His results linked formal proof to fundamental limits on mechanical reasoning.Douglas HofstadterRelated: Gödel’s theorems anchor Hofstadter’s account of formal systems and self-reference.General recursive functionRelated: Gödel developed recursive-function methods in the formal analysis of arithmetic.Gravity's RainbowCompared with: His work offers a historical counterpoint to the novel’s desire for total explanations.Diamond principleRelated: His constructible universe supplied the setting in which diamond was later proved.Rebecca GoldsteinRelated: Goldstein presents his mathematical achievements together with his metaphysical realism and personal history.