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No. The fullness or emptiness depends on whether the last action was pouring water into or out of the jug.
Exactly - or the next action. The question “is the glass half full or empty” is a false dichotomy, the answer is: it is impossible to know without further info.
How exactly does it depend on next action? Is it half full by that logic if next action would be to fill it up further?
Yes. If the next action is to add it’s half full, if to remove it’s half empty. If nothing then it depends on the previous actions.
So the glass is in a quantum superposition until an entity decides to act on it
That’s funny. But the glass is not in a superposition, the answer to the question is. It’s a glass that contains water and is just sitting there observable by all probably sick of being subject to stupid questions that have no meaningful answer.