Iryna

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Infinite players, on the other hand, continue their play in the expectation of being surprised. If surprise is no longer possible, all play ceases. Surprise causes finite play to end; it is the reason for infinite play to continue. Surprise in infinite play is the triumph of the future over the past. Since infinite players do not regard the past as having an outcome, they have no way of knowing what has been begun there. With each surprise, the past reveals a new beginning in itself. Inasmuch as the future is always surprising, the past is always changing.
Finite and Infinite Games
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