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dc.contributor.authorTrillas i Gay, Enric
dc.contributor.authorAlsina Català, Claudi
dc.contributor.authorTermini, Settimo
dc.description.abstractThis 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.
dc.publisherUniversitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica
dc.relation.ispartofMathware & soft computing . 1996 Vol. 3 Núm. 1 [ -2 ]
dc.rightsReconeixement-NoComercial-CompartirIgual 3.0 Espanya
dc.subject.otherBoolean algebras
dc.subject.otherProbability of a condition
dc.subject.otherFinite probabilities
dc.subject.otherConditional probabilities
dc.subject.otherConditional operations
dc.titleDidactical note: probabilistic conditionality in a Boolean algebra
dc.subject.lemacÀlgebra booleana
dc.subject.lemacLògica algebraica
dc.subject.amsClassificació AMS::03 Mathematical logic and foundations::03G Algebraic logic
dc.rights.accessOpen Access

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