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The laws thus derived yield finite additivity of probability, but not countable additivity. The measure-theoretic formulation of Kolmogorov assumes that a probability measure is countably additive. This slightly stronger condition is necessary for the proof of certain theorems.[citation needed]
Циатата джейни:
Working fundamentally with finite sets, we are content fundamentally with finite unions; yet a well-behaved limit to an infinite set may be a convenient simplification, removing intricate but irrelevant details from a finite-set calculation. On the infinite sets thus generated, our finite unions go into countable unions