Sorry to necro, but the sailor didn’t give anybody any new information with respect to eye colors that they didn’t have already. Each person A-E knew that there were 4 other people minimum with blue eyes and they also knew that each other person knew there was at least a minimum of 3 people with blue eyes.
Everyone suddenly gaining the common knowledge that at least one of them has blue eyes is not actually new knowledge at all.
ETA: I envision a story where they realize that if Enuli never takes the Sparkroot again and is no longer a genius logician they can save themselves that way.
Everyone knew everyone knew everyone knew everyone knew someone had blue eyes. But everyone didn’t know that—so there wasn’t common knowledge—until the sailor made it so.
Sorry to necro, but the sailor didn’t give anybody any new information with respect to eye colors that they didn’t have already. Each person A-E knew that there were 4 other people minimum with blue eyes and they also knew that each other person knew there was at least a minimum of 3 people with blue eyes.
Everyone suddenly gaining the common knowledge that at least one of them has blue eyes is not actually new knowledge at all.
ETA: I envision a story where they realize that if Enuli never takes the Sparkroot again and is no longer a genius logician they can save themselves that way.
Everyone knew everyone knew everyone knew everyone knew someone had blue eyes. But everyone didn’t know that—so there wasn’t common knowledge—until the sailor made it so.