Correct me if I’m wrong, but it seems more realistic to say:
- Playing the same game twice is unlikely because of the number of possible games, OR
- It’s possible the same game has never been played twice, OR
- After a certain number of moves, it’s very possible to create a never-played game
I’m certain I’ve played the same game multiple times, because I suck at chess and I fall into the same obvious traps over and over.
I think this is a little prescriptive. There might be some truth in this but everyone needs to find acceptance on their own. Sometimes running works just fine.