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- W28430151 abstract "The idea of two-dimensional belief change operators is that a belief state istransformed by an input sentence $A$ in such a way that $A$ gets acceptedwith at least the strength or certainty of a sentence $B$ (the referencesentence). The input of such a transformation may alternatively be conceivedas `$B leq A$' [`$B$ less-than-or-equal-to $A$']. This notation makes explicitthat the process induced is basically one of doxastic preference change. Theprincipal case of two-dimensional belief change obtains when $B$ is a priorbelief which is more strongly accepted than both $A$ and $eg A$, but thenon-principal cases are interesting in their own right. Various two-dimensionalrevision operators were studied by Cantwell (1997, `raising' and `lowering'),FermAƒÂ© and Rott (2003, `revision by comparison'), and Rott (2007, `boundedrevision'). Special choices of a fixed input sentence $A$ or a fixed referencesentence $B$ lead to some well-known unary oparators of belief change:`irrevocable' (aka `radical') revision, `severe withdrawal' (aka `mildcontraction'), `natural' (aka `conservative') and `lexicographic' (aka `moderate')revision. The talk gives a survey of several variants of two-dimensional beliefchange and their representations. I argue that two-dimensional belief changeoperators offer an interesting qualitative model with an expressive powerbetween (all too poor) unary operators and (all too demanding) quantitativemodels of belief change." @default.
- W28430151 created "2016-06-24" @default.
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- W28430151 date "2007-01-01" @default.
- W28430151 modified "2023-09-23" @default.
- W28430151 title "Two-Dimensional Belief Change." @default.
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