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The Laws of BeliefRanking Theory and Its Philosophical Applications$
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Wolfgang Spohn

Print publication date: 2012

Print ISBN-13: 9780199697502

Published to Oxford Scholarship Online: September 2012

DOI: 10.1093/acprof:oso/9780199697502.001.0001

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 Conditional Independence and Ranking Nets

 Conditional Independence and Ranking Nets

Chapter:
(p.125) 7 Conditional Independence and Ranking Nets
Source:
The Laws of Belief
Author(s):

Wolfgang Spohn

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199697502.003.0007

The antonym of (conditional) relevance is (conditional) irrelevance or independence. The chapter introduces this notion and develops its theory. It thus turns out that the full theory of Bayesian nets can be carried over to ranking theory. This results in a most illuminating (and extensively exemplified) algorithmic theory of the propagation of evidential impact within ranking nets and thus of inductive reasoning. An appendix shows how this theory extends to an account of (independent) testimonies (that is much simpler than its probabilistic counterpart).

Keywords:   independence, ranking net, propagation in ranking nets, inductive reasoning, testimony

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