Though the root of faith is not intellectual, one of its fruits is. Unless you believe, you will not understand faith first. Then, In thy light we see light understanding follows. Reason may run ahead of faith, as John ran ahead of Peter to the empty tomb, but faith first enters the secret of understanding, as Peter first entered the tomb. Faith is more active than reason.
Reason passively reports data, like a camera.
Faith takes a stand, like an army. Faith leaps into God's arms, answering his proposal of spiritual marriage. There is a kind of faith that Saint Paul lists as one of the charismatic gifts. This is special, miracle-working faith. It is available to all but found in few.