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6 votes
1 answer
385 views

Absoluteness for the Chang model

Often, large cardinals imply that many definable inner models and transitive sets have theories which are absolute under forcing. For example, assuming a proper class of Woodin cardinals, the theory ...
Noah Schweber's user avatar
6 votes
0 answers
180 views

$Δ^1_3$ reals in transitive models

Every real number is $Δ^1_2$ in some $ω$-model of ZFC\P. I am looking for analogous statements for $Δ^1_3$ definability and transitive models, where the situation is more subtle. What is the ...
Dmytro Taranovsky's user avatar