“It might seem that the empirical philosopher is the slave of his material, but that the pure mathematician, like the musician, is a free creator of his world of ordered beauty.”

“The ancient world found an end to anarchy in the Roman Empire, but the Roman Empire was a brute fact, not an idea. The Catholic world sought an end to anarchy in the church, which was an idea, but was never adequately embodied in fact. Neither the ancient nor the medieval solution was satisfactory – the one because it could not be idealized, the other because it could not be actualized. The modern world, at present, seems to be moving towards a solution like that of antiquity: a social order imposed by force, representing the will of the powerful rather than the hopes of the common men. The problem of a durable and satisfactory social order can only be solved by combining the solidarity of the Roman Empire with the idealism of St. Augustine’s City of God. To achieve this a new philosophy will be needed”

“A philosopher who uses his professional competence for anything other except a disinterested search for truth is guilty of a kind of treachery.”

“The morality of work is the morality of slaves, and the modern world has no need of slavery.”

“Mathematics, rightly viewed, possesses not only truth, but supreme beauty—a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show.”

“How, in such an alien and inhuman world, can so powerless a creature as man preserve his aspirations untarnished? A strange mystery it is that nature, omnipotent but blind, in the revolutions of her secular hurryings through the abysses of space, has brought forth at last a child, subject still to her power, but gifted with sight, with knowledge of good and evil, with the capacity of judging all the works of his unthinking mother. In spite of death, the mark and seal of the parental control, man is yet free, during his brief years, to examine, to criticize, to know, and in imagination to create. To him alone, in the world with which he is aquainted, this freedom belongs; and in this lies his superiority to the resistless forces that control his outward life.”

“We want to stand upon our own feet and look fair and square at the world - its good facts, its bad facts, its beauties, and its ugliness; see the world as it is and not be afraid of it. Conquer the world by intelligence and not merely by being slavishly subdued by the terror that comes from it. The whole conception of God is a conception derived from the ancient Oriental despotisms. It is a conception quite unworthy of free men. When you hear people in church debasing themselves and saying that they are miserable sinners, and all the rest of it, it seems contemptible and not worthy of self-respecting human beings. We ought to stand up and look the world frankly in the face. We ought to make the best we can of the world, and if it is not so good as we wish, after all it will still be better than what these others have made of it in all these ages. A good world needs knowledge, kindliness, and courage; it does not need a regretful hankering after the past or a fettering of the free intelligence by words uttered long ago by ignorant men. It needs a fearless outlook and free intelligence. It needs hope for the future, not looking back all the time toward a past that is dead, which we trust will be far surpassed by the future that our intelligence can create.”