1998/08/31 by Gunn Quznetsov, Quznetsov, Gunn
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #Mathematical and Theoretical Analysis #Probability and Statistical Research #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.physics/9808050
LaTeX, 26 pages
arxiv created 1998/08/31 · openalex publication_date 1998/08/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.