Its been my experience that faith isn't necesarily a beleif, or even an idea. Beleifs and ideas can be subject to change.
Faith to me is a state of mind.
Faith can be arrogant, harming, indignant in the face of reason.
Like an missile flying by without any guidance system. Unaware, purhaps even indifferent to the harm it may cause, yet unwilling to comply with, and in most cases offended by a suggested change in course.