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Didactical note: probabilistic conditionality in a Boolean algebra
dc.contributor.author | Trillas i Gay, Enric |
dc.contributor.author | Alsina Català, Claudi |
dc.contributor.author | Termini, Settimo |
dc.date.accessioned | 2007-04-03T08:58:32Z |
dc.date.available | 2007-04-03T08:58:32Z |
dc.date.issued | 1996 |
dc.identifier.issn | 1134-5632 |
dc.identifier.uri | http://hdl.handle.net/2099/2622 |
dc.description.abstract | 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. |
dc.format.extent | 149-157 |
dc.language.iso | eng |
dc.publisher | Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica |
dc.relation.ispartof | Mathware & soft computing . 1996 Vol. 3 Núm. 1 [ -2 ] |
dc.rights | Reconeixement-NoComercial-CompartirIgual 3.0 Espanya |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject.other | Boolean algebras |
dc.subject.other | Probability of a condition |
dc.subject.other | Finite probabilities |
dc.subject.other | Conditional probabilities |
dc.subject.other | Conditional operations |
dc.title | Didactical note: probabilistic conditionality in a Boolean algebra |
dc.type | Article |
dc.subject.lemac | Àlgebra booleana |
dc.subject.lemac | Lògica algebraica |
dc.subject.lemac | Probabilitats |
dc.subject.ams | Classificació AMS::03 Mathematical logic and foundations::03G Algebraic logic |
dc.rights.access | Open Access |
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