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dc.contributor.authorTrillas i Gay, Enric
dc.contributor.authorAlsina Català, Claudi
dc.contributor.authorTermini, Settimo
dc.date.accessioned2007-04-03T08:58:32Z
dc.date.available2007-04-03T08:58:32Z
dc.date.issued1996
dc.identifier.issn1134-5632
dc.identifier.urihttp://hdl.handle.net/2099/2622
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.format.extent149-157
dc.language.isoeng
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.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
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.typeArticle
dc.subject.lemacÀlgebra booleana
dc.subject.lemacLògica algebraica
dc.subject.lemacProbabilitats
dc.subject.amsClassificació AMS::03 Mathematical logic and foundations::03G Algebraic logic
dc.rights.accessOpen Access


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Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain