Center for Action and Contemplation in Albuquerque, New Mexico, considers the third eye as a metaphor for non-dualistic thinking. For him, the first eye provides sensory input, the second eye relates to reason, meditation, and reflection and the third eye is the mystical gaze...building on the first two eyes but going much further.
For a contemplative photographer, at least THIS contemplative photographer, the third eye is an absolute necessity for one to practice visual listening skills. The soul's eye perceives, and the heart's ear listen's...the two components of visual listening. It is through this interchange of looking and listening that the contemplative photographer can enter into a meaningful relationship with the landscape.
So when you go out into the landscape, take some time training your third eye whether it be through meditation or visual listening techniques. The time will be well spent.