Oil -- typically olive oil -- symbolizes the good that comes from celestial love. Celestial love is love of the Lord, the highest and purest love we can have. The good of celestial love is the desire to be good springing from celestial love: Wanting to do the Lord's will because you love Him. That's not a state many reach, even in heaven, but it's a beautiful goal. This representation makes sense based on the idea that the sun -- the source of all natural light and heat, and thus all natural life -- represents the Lord, the source of all spiritual light, heat and life. Burning oil was the most pure fire available in Biblical times, thus the closest representation of the sun people could create.

Jeremiah represents the Lord. (Arcana Coelestia 2838[2]).

In Jeremiah 13:7, Jeremiah here signifies the state of the church. (Divine Love and Wisdom 15[4]).

In Jeremiah 38:6, his representation is that same as Joseph's when he was thrown into the pit by his brothers -- that divine truths were rejected by falsities. (Arcana Coelestia 4728).

(Odkazy: Arcana Coelestia 2838 [1-4], 4728 [1-8]; Divine Love and Wisdom 15; Jeremiah 1:1)