Artículos con la etiqueta ‘teoría de probabilidad’

Aristotle’s Logic Computed by Parametric Probability and Linear Optimization

Por • 4 jul, 2013 • Category: Crítica

A new computational method is provided to implement the system of deductive logic presented in Aristotle’s Prior Analytics. Each Aristotelian problem is interpreted as a parametric probability network in which the premises give constraints on probabilities relating the problem’s categorical terms (major, minor, and middle). The problem’s figure (schema) describes which specific probabilities are constrained, relative to those that are queried. Using numerical optimization methods, the minimum and maximum feasible values of certain queried probabilities are computed. These computed values determine whether a syllogism is present and if so, which precise conclusion has been deduced from the premises. This method of analysis prevents existential fallacies, and reveals new complementary patterns of syllogism that were previously unappreciated.



Quantum Theory of Probability and Decisions

Por • 29 ago, 2011 • Category: Ciencia y tecnología

The probabilistic predictions of quantum theory are conventionally obtained from a special probabilistic axiom. But that is unnecessary because all the practical consequences of such predictions follow from the remaining, non-probabilistic, axioms of quantum theory, together with the non-probabilistic part of classical decision theory.