That's a good point, but then the critical factor is that nobody knows how many people have blue eyes. More specifically, each person has to hold the possibility that n = observed persons with blue eyes + 1, which is himself.
Re:Blue Eyes Logic Puzzle
by maxerickson on Friday January 03, 2014 @02:40PM
(#7007599)
That's why it takes n days.
Each blue eyed person can see n-1 others. If nothing happens on day n-1, they learn that they have blue eyes.
The blue eyed member doesn't see anyone else with blue eyes.