Ranking Functions and Rankings on Languages

Artificial Intelligence 170:462-471 (2006)
The Spohnian paradigm of ranking functions is in many respects like an order-of-magnitude reverse of subjective probability theory. Unlike probabilities, however, ranking functions are only indirectly—via a pointwise ranking function on the underlying set of possibilities W —defined on a field of propositions A over W. This research note shows under which conditions ranking functions on a field of propositions A over W and rankings on a language L are induced by pointwise ranking functions on W and the set of models for L, ModL, respectively.
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Franz Huber (2008). Hempel's Logic of Confirmation. Philosophical Studies 139 (2):181 - 189.
Franz Huber (2007). The Logic of Theory Assessment. Journal of Philosophical Logic 36 (5):511-538.

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