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Logic and probability

G. A. Quznetsov
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Abstract

The propositional logic is generalized on the real numbers field. The logical analog of the Bernoulli independent tests scheme is constructed. The variant of the nonstandard analysis is adopted for the definition of the logical function, which has all properties of the classical probability function. The logical analog of the Large Number Law is deduced from properties of this function.

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G. A. Quznetsov. 2010-09-14. Logic and probability. https://arxiv.org/abs/math/0304081

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