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An algebraic treatment of the Barwise compactness theory
Studia Logica 50 (2):217 - 223 (1991)
Abstract
A theorem on the extendability of certain subsets of a Boolean algebra to ultrafilters which preserve countably many infinite meets (generalizing Rasiowa-Sikorski) is used to pinpoint the mechanism of the Barwise proof in a way which bypasses the set theoretical elaborations.Other Versions
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References found in this work
The mathematics of metamathematics.Helena Rasiowa - 1963 - Warszawa,: Państwowe Wydawn. Naukowe. Edited by Roman Sikorski.
Admissible sets and structures: an approach to definability theory.Jon Barwise - 1975 - New York: Springer Verlag.
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