Shoenfield's absoluteness theorem
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
countable transitive models of ZFC
|
| gptkbp:citation |
J. R. Shoenfield, 'Unramified Forcing', in Logic, Methodology and Philosophy of Science, 1962
|
| gptkbp:concerns |
gptkb:arithmetical_hierarchy
analytic hierarchy models of set theory |
| gptkbp:field |
gptkb:set_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Shoenfield's absoluteness theorem
|
| gptkbp:implies |
projective determinacy for Σ₁² sets is absolute
|
| gptkbp:namedAfter |
gptkb:Joseph_R._Shoenfield
|
| gptkbp:publishedIn |
1961
|
| gptkbp:state |
Σ₁² statements are absolute between transitive models of ZFC containing the same ordinals
|
| gptkbp:usedIn |
gptkb:descriptive_set_theory
model theory forcing arguments |
| gptkbp:bfsParent |
gptkb:Joseph_R._Shoenfield
|
| gptkbp:bfsLayer |
8
|