Summary The purpose of this paper is to present some corrections and supplements to the second author's papers [2] and [3]in this journal. It is a result of a discussion of the first author's criticism, which was directed against two points, viz. first the presentation of the paradoxes of Zeno from Elea ([3], § 2) and second some technical aspects of the introduction of probability by means of the notion of randomizer ([3], § 5