6533b7cffe1ef96bd12595a4
RESEARCH PRODUCT
Didactical note: probabilistic conditionality in a Boolean algebra
E TrillasC AlsinaSettimo Terminisubject
Conditional operationsFinite probabilitiesProbability of a conditionLògica algebraicaboolean algebrasSettore INF/01 - InformaticaProbabilitatsÀlgebra booleana:03 Mathematical logic and foundations::03G Algebraic logic [Classificació AMS]Boolean algebrasConditional probabilitiesdescription
This note deals with two logical topics and concerns Boolean Algebras from an elementary point of view. First we consider the class of operations on a Boolean Algebra that can be used for modelling ``If-then" propositions. These operations, or Conditionals, are characterized under the hypothesis that they only obey to the Modus Ponens-Inequality, and it is shown that only six of them are boolean two-place functions. Is the Conditional Probability the Probability of a Conditional? This problem will be only considered, with the Material Conditional Operation, on a Boolean Algebra endowed with a finite probability and in three different cases: with the Internal-Conditional Probability, with the External-Conditional Probability and with both the External-Conditional and the ``a priori" probabilities. It is shown when and how the problem can have some solution.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-01-01 |