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INICIO | 24 de mayo de 2024
  

Didactical note: probabilistic conditionality in a Boolean algebra.

Título inglés Didactical note: probabilistic conditionality in a Boolean algebra.
Título español Nota didáctica: condicionalidad probabilística en un álgebra de Boole.
Autor/es Trillas, Enric ; Alsina, Claudi ; Termini, Settimo
Organización Dep. Intel. Artif. Fac. Inform. Univ. Politéc. Madrid, Madrid, España;Sec. Mat. Esc. Téc. Super. Arquit. Barcelona, Barcelona, España;Dip. Mat. Univ. Palermo, Palermo, Italia
Revista 1134-5632
Publicación 1996, 3 (1-2): 149-157, 8 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés 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.
Clasificación UNESCO 110202 ; 120304 ; 110403
Palabras clave español Lógica difusa ; Probabilidad condicionada ; Información condicional ; Algebras de Boole
Código MathReviews MR1414262
Código Z-Math Zbl 0862.03038
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Equipo DML-E
Instituto de Ciencias Matemáticas (ICMAT - CSIC)
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