arithmetical comprehension axiom
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
set-theoretic principle |
| gptkbp:formalizes |
comprehension schema for arithmetical formulas
|
| https://www.w3.org/2000/01/rdf-schema#label |
arithmetical comprehension axiom
|
| gptkbp:implies |
existence of the set of natural numbers satisfying any arithmetical property
|
| gptkbp:isWeakerThan |
full comprehension axiom
|
| gptkbp:namedFor |
gptkb:Stephen_Simpson
|
| gptkbp:relatedTo |
gptkb:reverse_mathematics
ACA_0 |
| gptkbp:requires |
existence of sets definable by arithmetical formulas
|
| gptkbp:usedIn |
gptkb:second-order_arithmetic
|
| gptkbp:bfsParent |
gptkb:Schütte–Simpson_theorem
|
| gptkbp:bfsLayer |
7
|