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Ranking Functions and Rankings on Languages

Huber, Franz (2006) Ranking Functions and Rankings on Languages. Artificial Intelligence, 170 (4-5). pp. 462-471.

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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, ModL, respectively.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Huber, Franzfranz.huber@utoronto.ca
Subjects: General Issues > Confirmation/Induction
General Issues > Decision Theory
Specific Sciences > Probability/Statistics
General Issues > Theory Change
Depositing User: Unnamed user with email franz.huber@utoronto.ca
Date Deposited: 09 Jul 2014 14:26
Last Modified: 09 Jul 2014 14:26
Item ID: 10850
Journal or Publication Title: Artificial Intelligence
Publisher: Elsevier
Official URL: http://www.sciencedirect.com/science/article/pii/S...
Subjects: General Issues > Confirmation/Induction
General Issues > Decision Theory
Specific Sciences > Probability/Statistics
General Issues > Theory Change
Date: 2006
Page Range: pp. 462-471
Volume: 170
Number: 4-5
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/10850

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