Learn about mathematical induction, the difference between mutual and common knowledge, and the blue-eyed islanders puzzle in this Star Trek-themed logic cha...
it is open to interpretation. the idea was that shutting down keeps the harmony in the society (because only once they know their own color they have some sort of incentive for discrimination against other colors).
and yes, there is a question on trust and belief versus knowledge. but assuming Vulcans are trustworthy, I think the synths conclusions can be seen as knowledge (i.e. not just belief).
it is open to interpretation. the idea was that shutting down keeps the harmony in the society (because only once they know their own color they have some sort of incentive for discrimination against other colors).
and yes, there is a question on trust and belief versus knowledge. but assuming Vulcans are trustworthy, I think the synths conclusions can be seen as knowledge (i.e. not just belief).