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You have a cake and every day you eat half of the remaining cake. So obviously this can't continue forever since at some point it becomes so small that you can't notice it anymore. But what happens when it happens? When it is the day after you ate a piece that could be noticed for the last time, you cut the cake again, only for you to not notice it anymore. But you can't get the 2 pieces back together to eat something that can be noticed since you can't notice the 2 pieces. So you basically wasted a piece of cake that could have been noticed.