Perhaps emphasizing its importance, Mary Baker Eddy lists intuition first in a series of elements necessary for a perception of real being. "Spiritual sense, contradicting the material senses, involves intuition, hope, faith, understanding, fruition, reality," Science and Health with Key to the Scriptures, p. 298; she writes. Intuition—as the ability to sense good—is a spiritual faculty. To progress, to heal and bless others, we need to cultivate, develop, use it.
Intuition lets us look at what is true of divine Life and creation, and by contrast it takes the covers off what is not true of real being for the purpose of healing those discrepancies. In this way intuition consummates the longing to aid others and ourselves. It's a special faculty that transcends the five personal senses, for the more spiritually metaphysical outlook it gives us is the basis for purification and growth.
The corporeal senses tell us of an ever-changing mixture of good and bad, sometimes one in the ascendant, sometimes the other. Intuition gives us the conviction that good and bad are opposites which never walk hand in hand, for the former is the only real, the latter always unreal and invalid.