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Wait, I just realized. How did she make such a simple mistake? She's a physicist.
The example with the two glasses at different temperatures. Temperature itself is meaningless. It's just useful for us humans.
Adding two glasses of water at different temperature follows traditional addition because the total amount of energy in the system is simply energy of glass A + energy of glass B.
@matrix
Its dumb anyway because its all just a "well ackshually what if they are talking about poo poo pee pee addition instead of traditional addition. Then it would be cumzillion instead of 4.