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).

I see what you are saying. I think it depends on the understanding of their rules. And whether they have the agency to shutdown themselves (which is my understanding), or whether the whole omniscient system is responsible for the shutdown (which I believe is your understanding).

yes, some lie might work, to undo the original message. But to say that one is red poses the risk of all of them shutting down in a second. How can they know that they are not red?

You can do that with white light, but not in the rainbow, because the wavelengths are spatially already separated. So you would also have to combine them again.

that is a nice video. and it has 50000 times more views than mine :)

I agree

that is a very good point! YouTube does not let you change videos, but I will keep this in mind for the next one.

No it does not. The rainbow has all wavelength within the visible spectrum. But not all colors. And yes, color is based on perception.

No. It has to do with spectral color hues and non-spectral color hues. Actually there is a lot of confusing information out there.

… also there are different choices for the scaling of the hue axis, so the percentage can change. This is also noted in the vid.