>> if we can deal with ratios in calculus due to infinitesimal sizes using limits Cauchy proved this in the 19th century using analysis. You did not cite a pro

>> if we can deal with ratios in calculus due to infinitesimal sizes using limits Cauchy proved this in the 19th century using analysis. You did not cite a proof that we can somehow use analysis to do something vaguely similar for infinities.’ >> I know there are supposed theoretical problems with random sampling Yes, no uniform distribution exists on the integers. >> But I don’t care Clearly. It drives me bananas when people knowingly post comments in mathematical discussion that have no rigor and instead are appeals to emotion.