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Dec 12, 2021 at 12:38 comment added Meng Cheng @imbAF It is the mathematical definition of extensivity. Just take $\lambda=2$ and think about what happens if you put two identical boxes of gas together. Or look up "Gibbs paradox" in your textbook.
Dec 12, 2021 at 9:51 comment added imbAF I tried to compute the entropy without $\frac 1 {N!}$ and ofc I got an expression in which that term is missing, but I don't understand the last part of your 2nd answer. Could you expand on it ?
Dec 12, 2021 at 3:25 history answered Meng Cheng CC BY-SA 4.0