A new version of an old modal incompleteness theorem
| Authors |
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| Publication date |
2010
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| Journal |
Bulletin of the Section of Logic
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| Volume | Issue number |
39 | 3-4
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| Pages (from-to) |
199-204
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| Organisations |
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Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
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| Abstract |
Thomason [5] showed that a certain modal logic L⊂ S4 is incomplete with respect to Kripke semantics. Later Gerson [3] showed that L is also incomplete with respect to neighborhood semantics. In this paper we show that L is in fact incomplete with respect to any class of complete Boolean algebras with operators, i.e. that it is completely incomplete.
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| Document type |
Article
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| Language |
English
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| Published at |
http://www.filozof.uni.lodz.pl/bulletin/pdf/39_34_9.pdf
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