definition 3.81 Effective axiomatization
open in the book ·
parts/02-mathematical-methods/01-logic-sets.tex:2308
· p. 45
- ground object -- no derivation owed
Rests on
- depends_on definition 3.80 Formal system ¶
Supports
-
depends_on
proposition A.15
Syntax is computable
¶
- depends_on theorem A.26 Diagonal lemma ¶
-
depends_on
theorem 3.87
Gödel, 1931
¶
- depends_on theorem A.29 Second incompleteness theorem ¶
- depends_on theorem 3.88 Gödel's second incompleteness theorem ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Formal system | declared | parts/02-mathematical-methods/01-logic-sets.tex:2311 |
depends_on |
← | Syntax is computable | declared | appendices/A-long-proofs.tex:1967 |
depends_on |
← | Gödel, 1931 | declared | parts/02-mathematical-methods/01-logic-sets.tex:2471 |