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> I don’t really understand how this is a paradox,

You do:

> but it’s definitely surprising and non intuitive.

That's a common definition of a paradox: "a seemingly absurd or self-contradictory statement or proposition that when investigated or explained may prove to be well founded or true."

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Ok I misunderstood what it means to be a paradox, this does seem to apply. The point I was intending to make is that the composition of 2 games entails a new game which creates an entirely new ruleset and therefore new potential outcomes. On the spectrum of paradoxes this one doesn’t feel particularly profound, but perhaps it’s due to the examples being especially contrived.

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