# Subjective logic

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 Revision as of 23:50, 9 January 2012Jahsonic (Talk | contribs)← Previous diff Current revisionJahsonic (Talk | contribs) Line 1: Line 1: {{Template}} {{Template}} + '''Subjective logic''' is a type of [[probabilistic logic]] that explicitly takes uncertainty and belief ownership into account. In general, subjective logic is suitable for modeling and analysing situations involving uncertainty and incomplete knowledge. For example, it can be used for modeling [[trust metric|trust networks]] and for analysing [[Bayesian network]]s. - '''Abduction''' is a method of logical inference introduced by [[Charles Sanders Peirce]] which comes prior to induction and deduction for which the colloquial name is to have a "[[hunch]]". Abductive reasoning starts when an inquirer considers of a set of seemingly unrelated [[fact]]s, armed with an intuition that they are somehow connected. The term ''abduction'' is commonly presumed to mean the same thing as [[hypothesis]]; however, an abduction is actually the process of inference that produces a hypothesis as its end result. + Arguments in subjective logic are subjective opinions about propositions. A binomial opinion applies to a single proposition, and can be represented as a [[Beta distribution]]. A multinomial opinion applies to a collection of propositions, and can be represented as a [[Dirichlet distribution]]. Through the correspondence between opinions and Beta/Dirichlet distributions, subjective logic provides an algebra for these functions. Opinions are also related to the belief functions of [[Dempster-Shafer theory|Dempster-Shafer belief theory]]. - ==See also== + -
+ - *[[Abductive logic programming]] + - *[[Analogy]] + - *[[Analysis of Competing Hypotheses]] + - *[[Charles Sanders Peirce]] + - *[[Charles Sanders Peirce bibliography]] + - *[[Deductive reasoning]] + - *[[Defeasible reasoning]] + - *[[Doug Walton]] + - *[[Gregory Bateson]] + - *[[Inductive reasoning]] + - *[[Inquiry]] + - *[[Portal:thinking#Topics related to Thinking|List of thinking-related topics]] + - *[[Logic]] + - *[[Subjective logic]] + - *[[Logical reasoning]] + - *[[Maximum likelihood]] + - *[[Scientific method]] + - *[[Sherlock Holmes]] + - *[[Sign relation]] + -
+ + A fundamental aspect of the human condition is that nobody can ever determine with absolute certainty whether a proposition about the world is true or false. In addition, whenever the truth of a proposition is expressed, it is always done by an individual, and it can never be considered to represent a general and objective belief. These philosophical ideas are directly reflected in the mathematical formalism of subjective logic. {{GFDL}} {{GFDL}}

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Subjective logic is a type of probabilistic logic that explicitly takes uncertainty and belief ownership into account. In general, subjective logic is suitable for modeling and analysing situations involving uncertainty and incomplete knowledge. For example, it can be used for modeling trust networks and for analysing Bayesian networks.

Arguments in subjective logic are subjective opinions about propositions. A binomial opinion applies to a single proposition, and can be represented as a Beta distribution. A multinomial opinion applies to a collection of propositions, and can be represented as a Dirichlet distribution. Through the correspondence between opinions and Beta/Dirichlet distributions, subjective logic provides an algebra for these functions. Opinions are also related to the belief functions of Dempster-Shafer belief theory.

A fundamental aspect of the human condition is that nobody can ever determine with absolute certainty whether a proposition about the world is true or false. In addition, whenever the truth of a proposition is expressed, it is always done by an individual, and it can never be considered to represent a general and objective belief. These philosophical ideas are directly reflected in the mathematical formalism of subjective logic.