Kalina, Martin A sequential approach to a construction of measures. (English) Zbl 0672.28007 Commentat. Math. Univ. Carol. 30, No. 1, 121-128 (1989). Summary: This paper deals with measures in the Alternative Set Theory. First of all \(\sigma\)-additive measures are constructed. Then measures “depending on the way of measurement” are obtained. It is proved that the measure of a given class can, in the dependence on the way of measurement, be an arbitrary nonnegative real number. MSC: 28E05 Nonstandard measure theory 03H99 Nonstandard models 03H05 Nonstandard models in mathematics Keywords:observable class; infinitesimal nearness; measures in the Alternative Set Theory; \(\sigma\)-additive measures; way of measurement PDFBibTeX XMLCite \textit{M. Kalina}, Commentat. Math. Univ. Carol. 30, No. 1, 121--128 (1989; Zbl 0672.28007) Full Text: EuDML