Where does the brain meet the heart?
I believe a small part of the brain is directly connect logic and feeling. Some would call that the connector between the left and right hemisphere of the brain. Or What!@!
I have felt that poetry transcends as the obvious.
That is too easy of an answer.
If writing using poetic/psychological plain language like Martin Luther King used I think we are getting there.
Some would call these phrases as language of the soul or even spiritual talk.
Spiritual talk at higher altitudes is not very available to most people. It can be used with delicate precision.
Check out the poet Rumi as an example
Or Shakespeare
This is not exactly poetry when it goes into the level of quotation
Where feelings can sound algebra like.