Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:abbreviation |
gptkb:AD
|
| gptkbp:consistentWith |
gptkb:ZF
|
| 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:inconsistentWith |
gptkb:ZFC
|
| gptkbp:introducedIn |
1960s
|
| gptkbp:opposedBy |
axiom of choice
|
| gptkbp:relatedTo |
gptkb:axiom_of_real_determinacy
gptkb:projective_determinacy |
| gptkbp:state |
every infinite two-player game of perfect information where players choose natural numbers is determined
|
| gptkbp:bfsParent |
gptkb:ZFC
gptkb:Zermelo-Fraenkel_set_theory_with_the_axiom_of_choice_(ZFC) |
| gptkbp:bfsLayer |
6
|