Maximal logics
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- by Joseph Sgro
- Proc. Amer. Math. Soc. 63 (1977), 291-298
- DOI: https://doi.org/10.1090/S0002-9939-1977-0491143-2
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Abstract:
In this paper we present a general method for producing logics on various classes of models which are maximal with respect to a Łoś ultraproducts theorem. As a corollary we show that ${\mathcal {L}^{{\text {Top}}}}$ is maximal. We also show that these maximal logics satisfy the Souslin-Kleene property.References
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Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 291-298
- MSC: Primary 02H10
- DOI: https://doi.org/10.1090/S0002-9939-1977-0491143-2
- MathSciNet review: 0491143