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Annals of Mathematical Logic
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Annals of Mathematical Logic
Article . 1981
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Annals of Mathematical Logic
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Filter logics: Filters on ω1

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1981 English Publisher:Elsevier BVJournal:Annals of Mathematical Logic, volume 20, pages 155-200 (issn: 0003-4843, Copyright policy )
Authors: Matt Kaufmann;

doi: 10.1016/0003-4843(81)90002-4

Filter logics: Filters on ω1

Abstract

AbstractCompactness and completeness theorems are proved for logics with a new quantifier M, whose interpretation depends on the choice of a filter on ω1. Omitting types theorems and extensions to structures of arbitrary cardinality are also discussed. A number of questions are raised.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
hybrid