Arcana Coelestia #476
476. That 'male and female' means the marriage of faith and love has been stated and shown already. That is to say, 'male' or man (vir) means the understanding and what belongs to the understanding, and so what belongs to faith, while 'female' means the will, or what belongs to the will, and so what belongs to love. This also is why she was called Eve, from a word meaning life, which belongs to love alone. 'Female' therefore also means the Church, as also shown already, and 'male' the man (vir) of the Church. At present the subject is the state of the Church at the time it was spiritual and shortly to become celestial, which is why the word 'male' comes first, as it does also in 1:26-27. Furthermore the expression 'to create' has regard to the spiritual man. As soon however as that marriage has taken place, that is, the Church has become celestial, it is no longer called 'male and female' but 'Man' (Homo) who by virtue of the marriage means both. Consequently 'and He called their name Man', which means the Church, follows next.
Eyes
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.