Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
set theory principle |
| gptkbp:doesNotImply |
full second-order comprehension
|
| gptkbp:field |
gptkb:logic
gptkb:set_theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Π^1 1 comprehension axiom
|
| gptkbp:implies |
gptkb:arithmetical_comprehension_axiom
Δ^1_1 comprehension axiom |
| gptkbp:introducedIn |
20th century
|
| gptkbp:isWeakerThan |
gptkb:arithmetical_comprehension_axiom
|
| gptkbp:relatedTo |
gptkb:descriptive_set_theory
gptkb:second-order_arithmetic |
| gptkbp:state |
for every Π^1_1 formula φ(X), there exists a set Y such that for all n, n ∈ Y iff φ(n) holds
|
| gptkbp:symbol |
Π^1_1-CA
|
| gptkbp:usedIn |
gptkb:reverse_mathematics
|
| gptkbp:bfsParent |
gptkb:Π^1_1-CA_0
|
| gptkbp:bfsLayer |
8
|