Logical, conditional, and classical probability

Details Logical, conditional, and classical probability Logical, conditional, and classical probability

2005-03-28

arxiv.org/abs/math/0503624v2

Mathematics

General Mathematics

LaTex, 20 pages, no figures

Scientific paper

The propositional logic is generalized on the real numbers field. the logical function with all properties of the classical probability function is obtained. The logical analog of the Bernoulli independent tests scheme is constructed. The logical analog of the Large Number Law is deduced from properties of these functions. The logical analog of thd conditional probability is defined. Consistency encured by a model on a suitable variant of the nonstandard analysis.

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