the set that contains everyone on an island who may say "I'm not a knight", given that the island only has knights who ALWAYS tell the truth and knaves who ALWAYS lie. so how many people can say "I’m not a knight"?
Would the set be empty and thus finite? since no knight can say "I’m not a knight" bc that would be a lie, and they never lie. and no knave can say "I’m not a knight" because that would be the truth and they always lie.
is this correct? if not, can you explain?