The solution of the problem of the future random events truth is
considered in Vasil’ev’s logic. N. A. Vasil’ev graded the logic according to two
levels — the level of facts, i.e. time fixed events, and the level of notions or rules,
governing these facts. The mathematical construction previously suggested
for imaginary Vasil’ev’s logic, extends to the early variant of his logic — a
logic of notions. In the paper, we investigate the meaning of problematic and
uncertain assertions introduced by Vasil’ev. As a result, we developed a model
of Vasil’ev’s logic of facts that resolves also the truth problem of future random
events. The imaginary logic has also been extended to the level of notions, and
the law of the excluded eighth is gotten in it. The correspondence between
Vasil’ev’s terms “some” and “all” and modern quantifiers is discussed.