Published April 2006 | Accepted Version
Journal Article Open

Ranking functions and rankings on languages

Huber, Franz
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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, Mod_L, respectively.

Additional Information

© 2005 Elsevier. Received 8 June 2005, Revised 24 October 2005, Accepted 26 October 2005, Available online 21 November 2005. I am grateful to Wolfgang Spohn for comments on an earlier version of this paper, as well as to three anonymous referees for their constructive criticism. My research was in part supported by the Alexander von Humboldt Foundation, the Federal Ministry of Education and Research, and the Program for the Investment in the Future (ZIP) of the German Government through a Sofja Kovalevskaja Award to Luc Bovens, while I was a member of the Philosophy, Probability, and Modeling group at the Center for Junior Research Fellows at the University of Konstanz.

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September 28, 2023
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