It's common to say “I see” when we understand something. And indeed, “seeing” in the Bible represents grasping and understanding spiritual things. So it makes sense that the eyes, which allow us to see, represent the intellect, which allows us to understand spiritual things. This can also be used in the negative, of course; the Bible speaks of people having eyes and refusing to see, and the Lord when He was in the world advised plucking out an offending eye. These represent a refusal to acknowledge truth, or being misled by falsity.

3067. 'And let the girl to whom I say' means an affection that has innocence within it. This is clear from the meaning of 'the girl'. In the Word affections for good and truth are called young children, girls, young women, and daughters, but in every case the different usage has regard to state. When 'a daughter' is used affection in general is meant, but when 'a young woman' affection that has charity within it is meant. When however 'a girl' is used affection that has innocence within it is meant, the reason being that girlhood comes next after early childhood, which in the internal sense is innocence, as does 'a boy' or 'small child' by which is meant a state in which innocence is present, see 430.