выражает долженствование◆It was a remarkably fine day; and he had not turned the matter over in his mind ten minutes, when he was suddenly stricken filial and affectionate; and it occurred to him so strongly that heought to go down and see his father, and pay his duty to his mother–in–law, that he was lost in astonishment at his own remissness in never thinking of this moral obligation before.Ч.Диккенс, «The Pickwick Papers»[Викитека]
выражает желательность, целесообразность◆Отсутствует пример употребления (см.рекомендации).
выражает ожидание, предположение; вероятность◆Отсутствует пример употребления (см.рекомендации).