Logic and probability
General Mathematics
2010-09-15 v2
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.
Keywords
Cite
@article{arxiv.math/0304081,
title = {Logic and probability},
author = {G. A. Quznetsov},
journal= {arXiv preprint arXiv:math/0304081},
year = {2010}
}
Comments
19 page, PDF