Didactical note: probabilistic conditionality in a Boolean algebra
-
Autores: Enric Trillas
, Claudi Alsina Català , Settimo Termini
- Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 3, Nº. 1-2, 1996, págs. 149-157
- Idioma: inglés
- Títulos paralelos:
- Nota didáctica: condicionalidad probabilística en un álgebra de Boole
- Enlaces
-
Resumen
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.
