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A sequential approach to a construction of measures. (English) Zbl 0672.28007

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
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