Ranking Functions and Rankings on Languages

Artificial Intelligence 170:462-471 (2006)

Authors
Franz Huber
University of Toronto, St. George
Abstract
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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References found in this work BETA

Ranking Functions, AGM Style.Wolfgang Spohn - 1999 - Internet Festschrift for Peter Gärdenfors.

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Citations of this work BETA

Belief and Degrees of Belief.Franz Huber - 2009 - In F. Huber & C. Schmidt-Petri (eds.), Degrees of Belief. Springer.
Hempel’s Logic of Confirmation.Franz Huber - 2008 - Philosophical Studies 139 (2):181-189.
The Consistency Argument for Ranking Functions.Franz Huber - 2007 - Studia Logica 86 (2):299-329.
New Foundations for Counterfactuals.Franz Huber - 2014 - Synthese 191 (10):2167-2193.
Belief Revision II: Ranking Theory.Franz Huber - 2013 - Philosophy Compass 8 (7):613-621.

View all 10 citations / Add more citations

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