There is no effort that we can make to still ourselves. True stillness comes naturally from moments of solitude where we allow our minds to settle. Just as water seeks its own level, the mind will gravitate toward the holy. Muddy water will become clear if allowed to stand undisturbed, and so too will the mind become clear if it is allowed to be still.
The word integrity has two meanings. The first is "honesty"... We have to be honest in facing our limitations, in facing the sheer complexity of the world, honest in facing criticism even of things which are deeply precious to us. But integrity also means wholeness, oneness, the desire for single vision, the refusal to split our minds into separate compartments where incompatible ideas are not allowed to come into contact. An undivided mind looks in the end for an undivided truth, a oneness at the heart of things. The whole intellectual quest, despite its fragmentation, despite its limitations and uncertainties, seems to presuppose that in the end we are all encountering a single reality, and a single truth.