The Basic Assumption for the Concept of Index Numbers is Unclear

The basic assumption for the indicative numbers is rejected on the grounds of the set theory and the theory of the frequency division of the number set. Consequently, the characteristics of the binominal number set , expressed with the aggregate or average price level ( ), could be expressed in a kind of number, i. e.:
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The problem of the indicative numbers is to find the characteristics (indicators) X and Y of , the product of which is equal to the indicator , expressed with the term value of , i. e..