Logics of belief change without linearity (Q2710596)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Logics of belief change without linearity |
scientific article |
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Logics of belief change without linearity (English)
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23 November 2001
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belief change
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hypertheory
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epistemic entrenchment
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dynamic doxastic logic (DDL)
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system of spheres
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infinitary axiomatizations
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The logics mentioned in the title are the logics induced by hypertheories [cf. \textit{K. Segerberg}, Bull. IGPL 3, 535-553 (1995; Zbl 0844.03015)]. Hypertheories generalize D. Lewis' systems of spheres in that they need not to be linearly ordered. The use of the formal language of dynamic doxastic logic in the present paper makes it possible to formulate precisely and to answer some important questions about belief change. In particular, it is proved that none of the mentioned logics are compact and hence cannot be given any strongly complete axiomatization in a finitary logic. Next, complete infinitary axiomatizations are proposed for several logics based on hypertheories.
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0.8374696373939514
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0.769950270652771
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