For establishing the upper limit of the maximal number of commutative
groups on sets, the logarithm well pictures the decreasing probabilities of
finding a new constellation of symbols, by the ever increasing number of
factors in the divisor.
Hans von Baeyer schrieb am So., 3. Juni 2018 21:53:
> For entropy we do need the log, because the chemists already knew that it
> is additive, whereas probability and "the number of ways", are
> multiplicative.
>
> Hans Christian von Baeyer
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