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May 26, 2020 at 21:11 comment added Andrew Steane @AntoniosSarikas With entropy there is more than one possible approach. If one starts from Clausius or Kelvin statement of the second law, then entropy is a derived quantity and it is found to be extensive. If one starts from an entropy statement of the 2nd law, then it is defined to extensive. If one starts from statistical mechanics then it is defined as $- k_B \sum_i p_i \ln p_i$ and then once one has clarified what the symbols mean one finds it is extensive.
May 26, 2020 at 19:50 comment added Antonios Sarikas Great answer! Do we accept (as an axiom) that energy, particle number, volume etc are extensive and temperature, pressure etc are not? What about entropy? I mean for energy and volume is obvious (axiom?) to assume that we should add the energy/volume of each subystem (isolated system) but why for entropy we can do the same?
Mar 7, 2019 at 22:40 vote accept Andrew
Mar 6, 2019 at 19:00 history answered Andrew Steane CC BY-SA 4.0