> You can measure the changes in entropy from a minimal state and integrate - and you'll get the "total" entropy
That doesn’t help with the following (at least if you keep those kinds of gas in gas state):
> if I give you three containers […] you can measure their entropy using thermodynamic experiments and tell which of the three is a mix of the other two because it will have a higher entropy
What’s the source of that understanding? You cannot measure the entropy, only changes of entropy - which will be the same (for an ideal gas).
Edit: we already had this discussion, by the way: https://news.ycombinator.com/item?id=42434862