omega₁ under Pi₁-Collection
classification
🧮 math.LO
keywords
collectionomegaboundcountabledefinabledescribeexistencekripke-platek
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We describe a proof-theoretic bound on $Sigma_{2}$-definable countable ordinals in Kripke-Platek set theory with $Pi_{1}$-Collection and the existence of $omega_{1}$.
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