the manipulatives you just used to make a point about something combinatorial: think about what happens to that combinatorial point within the sea of those manipulatives when you aren't looking.
I think what I'm getting at is: the combinatorial structure was ephemeral, and the combinatorics of the manipulatives when they're hiding amongst other school supplies is erratic and tricky: a box falls, one of them rolls behind a partition, and isn't seen by...
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the person replacing it.
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