Two red dots, one green, name your own
Three perfect logicians sit facing one another. A host places a colored dot on each forehead, every dot is either red or green, and announces two true facts:
- There is at least one green dot among the three.
- There are more red dots than green dots.
Each logician can see the other two foreheads but not their own.
Show that every one of the three can immediately state their own dot color.
Your answer
This one is open-ended. Work it through, then check your reasoning against the full solution.