"In this work, he used mathematical arguments to answer the following question: was it (i) a village that was taxed in the first place, and then the tax as divi

"In this work, he used mathematical arguments to answer the following question: was it (i) a village that was taxed in the first place, and then the tax as divided between households, or (ii) the other way around, where it was a household that was originally taxed, and then the sum represented the total to be paid by the village?... Because the total received were always an integer number of (changing) monetary units, Kolmogorov proved that it was rule (ii) that was adopted" -Probability and Statistics by Example, Volume 1. I guess the households that paid their tax either always paid it in full, or if they paid a portion it was always an integer value? While you're definitely more likely to get integer values in the end if everyone is taxed $1,000 rather than $999.30. It still makes me wonder how they always ended up with integers in the end. I guess if I have to write a check to pay off a portion of an amount I'm more likely to pay $400 than 399.90. But maybe it also had something to do with how their monetary system was set up.