Second incompleteness theorem
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Zermelo–Fraenkel_set_theory
gptkb:Peano_arithmetic Formal systems |
| gptkbp:citation |
Mathematical logic textbooks
|
| gptkbp:countryOfPublication |
gptkb:German
|
| gptkbp:field |
gptkb:logic
Metamathematics |
| gptkbp:formedBy |
gptkb:Kurt_Gödel
1931 |
| gptkbp:hasProofMethod |
gptkb:Arithmetization_of_syntax
|
| https://www.w3.org/2000/01/rdf-schema#label |
Second incompleteness theorem
|
| gptkbp:impact |
gptkb:Foundations_of_mathematics
|
| gptkbp:implies |
Hilbert's program cannot be completed
|
| gptkbp:influenced |
gptkb:logic
|
| gptkbp:partOf |
gptkb:Gödel's_incompleteness_theorems
|
| gptkbp:publishedIn |
gptkb:Über_formal_unentscheidbare_Sätze_der_Principia_Mathematica_und_verwandter_Systeme_I
|
| gptkbp:relatedTo |
gptkb:First_incompleteness_theorem
|
| gptkbp:state |
No consistent system strong enough to express arithmetic can prove its own consistency
|
| gptkbp:bfsParent |
gptkb:Incompleteness_theorem
|
| gptkbp:bfsLayer |
6
|