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If a video game uses an unsigned 32 bit integer for your score, then how would that integer differ from your (abstract platonic) score?
My "abstract platonic score" is a measurement of my happiness, and my happiness is determined by the chemical processes of my brain. My video game score is a measure of my success playing a video game. If the number on the screen ceases to correlate well with the sort of success I care about, I will disregard it. I won't be particularly thrilled if my score triples for no apparent reason, and I won't be particularly thrilled if the number you are using to approximate my happiness triples either.