Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
|
| gptkbp:abbreviation |
gptkb:AD
|
| gptkbp:consistentRelativeTo |
gptkb:large_cardinal_axioms
|
| gptkbp:field |
gptkb:set_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Axiom of determinacy
|
| gptkbp:implies |
all sets of reals are Lebesgue measurable
all sets of reals have the perfect set property all sets of reals have the property of Baire |
| gptkbp:introducedIn |
1960s
|
| gptkbp:opposedBy |
axiom of choice
|
| gptkbp:relatedTo |
gptkb:axiom_of_real_determinacy
gptkb:projective_determinacy axiom of choice |
| gptkbp:state |
Every infinite two-player game of perfect information where players choose natural numbers is determined
|
| gptkbp:usedIn |
gptkb:descriptive_set_theory
|
| gptkbp:bfsParent |
gptkb:Axiom_of_Choice
|
| gptkbp:bfsLayer |
5
|