The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method—more daring than anything that the history of philosophy records—of Lobachevsky and Riemann, Gauss and Sylvester. Indeed, mathematics, the indispensable tool of the sciences, defying the senses to follow its splendid flights, is demonstrating today, as it never has been demonstrated before, the supremacy of the pure reason.

On the eve of that going out, we gather to participate in this stately and solemn service to Almighty God, in Whose name this University was founded and in Whose name it has labored from generation to generation... Wherever the cause of liberty is in danger, there Columbia's hand will be found to help avert it. Wherever the rule of despotism is extending, there Columbia's hand will be found to remove It. Wherever there is need of scientific skill and genius to serve, to cure, to invent, to construct, there a Columbia hand will be found ready to do its duty for the advancement of the public good and for the glory of Almighty God.

When you remember how few Jews there are in Italy and how relatively few there are in Germany, one must wonder at the violence and the bitterness of this perse cution. The number of Jews in Italy is only a small fraction of those in the city of New York, while there are in the city of New York six times as many Jews as there were in the German Reich when the last war ended and possibly more than four times as many as there are there now. Yet the persecution, personal, physical, family, financial, goes on, openly and secretly, in a way that is perfectly appalling. To my great astonishment, this anti-Semitic persecution has been violently and publicly revived in this country within the last few weeks or months, and it is as discreditable to us that this should have happened as anything that we can imagine.'
Jews differ among themselves just as do Spaniards or Italians or Canadians or Americans. There are some who belong to one party, some who belong to another some whp hold one point of view, some who hold a point of view that is contradictory. The notion that all who belong to that race or profess that faith are of one mind in everything that relates to their public relationships is a grotesque departure from fact. But if you can play upon an excited public emotion by the use of these terms and by the insinuation that the entire Hebrew population is engaged, let us say as we have been told from the platform recently in trying to get this nation into war, such statements, although absolutely contradictory to every well-known fact, will, if repeated long enough, be believed and acted upon by a certain number of our unthinking population.
We cannot protest too vigorously and too strongly against that sort of thing. It may be the Ku Klux Klan persecuting the Catholics, it may be the anti-Semites persecuting the Jews: but persecution on racial or religious ground has absolutely no place in a nation given over to liberty and which calls itself a democracy.

Both anti-Semitism and the Ku Klux Klan are an insult to democracy and a contradiction of it. But faith honest, sincere, hopeful, opens a door to moving forward in this new and very difficult world in which our children must live. It opens the door into that world in a spirit inspired by something more than the merely human, the gain-seeking and the temporary. It brings us, our children and our grandchildren, in touch with the eternal verities which are the only possible foundation for a civilization and a life that are worthy of human ambition and human endeavor.

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1. The human mind is so constructed that it must see every perception in a time-relation—in an order—and every perception of an object in a space-relation—as outside or beside our perceiving selves.
2. These necessary time-relations are reducible to Number, and they are studied in the theory of number, arithmetic and algebra.
3. These necessary space-relations are reducible to Position and Form, and they are studied in geometry.
Mathematics, therefore, studies an aspect of all knowing, and reveals to us the universe as it presents itself, in one form, to mind. To apprehend this and to be conversant with the higher developments of mathematical reasoning, are to have at hand the means of vitalizing all teaching of elementary mathematics.

Whether it be generally recognized or not, what we call the civilized world, which for seven hundred years has been moving steadily forward in the spirit of liberalism and toward liberalism s high ideals, has now turned suddenly and violently backward. The guidance of reason and of understanding, of moral principle and of religious faith, has been shockingly and cruelly disslaced by the rule of brute force. Our literally stupendous achievements in literature, in philosophy, in the arts, in the sciences and in the comforts and conveniences of life count for nothing in the control of no national policy and of national conduct, and by far the major portion of the world is now under the rule of brutal compulsion. Such portion of the world as is not in that condition may soon be struggling for its life.

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The United States is in sore need today of an aristocracy of intellect and service. Because such an aristocracy does not exist in the popular consciousness, we are bending the knee to the golden calf of money. The form of monarchy and its pomp offer a valuable foil to the worship of money for its own sake. A democracy must provide itself with a foil of its own and none is better or more effective than an aristocracy of intellect and service.

Until the family and the church can be roused to the full height of their responsibility we cannot expect to find the youth of the land in possession of that religious knowledge and religious feeling which were characteristic of their ancestors two or three generations ago.

Man's conception of what is most worth knowing and reflecting upon, of what may best compel his scholarly energies, has changed greatly with the years. His earliest impressions were of his own insignificance and of the stupendous powers and forces by which he was surrounded and ruled. The heavenly fires, the storm-cloud and the thunderbolt, the rush of waters and the change of seasons, all filled him with an awe which straightway saw in them manifestations of the superhuman and the divine. Man was absorbed in nature, a mythical and legendary nature to be sure, but still the nature out of which science was one day to arise. Then, at the call of Socrates, he turned his back on nature and sought to know himself; to learn the secrets of those mysterious and hidden processes by which he felt and thought and acted. The intellectual centre of gravity had passed from nature to man. From that day to this the goal of scholarship has been the understanding of both nature and man, the uniting of them in one scheme or plan of knowledge, and the explaining of them as the offspring of the omnipotent activity of a Creative Spirit, the Christian God. Slow and painful have been the steps toward the goal which to St. Augustine seemed so near at hand, but which has receded through the intervening centuries as the problems grew more complex and as the processes of inquiry became so refined that whole worlds of new and unsuspected facts revealed themselves. Scholars divided into two camps. The one would have ultimate and complete explanations at any cost; the other, overcome by the greatness of the undertaking, held that no explanation in a large or general way was possible. The one camp bred sciolism; the other narrow and helpless specialization. At this point the modern university problem took its rise; and for over four hundred years the university has been striving to adjust its organization so that it may most effectively bend its energies to the solution of the problem as it is. For this purpose the university's scholars have unconsciously divided themselves into three types or classes: those who investigate and break new ground; those who explain, apply, and make understandable the fruits of new investigation; and those philosophically minded teachers who relate the new to the old, and, without dogma or intolerance, point to the lessons taught by the developing human spirit from its first blind gropings toward the light on the uplands of Asia or by the shores of the Mediterranean, through the insights of the world's great poets, artists, scientists, philosophers, statesmen, and priests, to its highly organized institutional and intellectual life of to-day. The purpose of scholarly activity requires for its accomplishment men of each of these three types. They are allies, not enemies; and happy the age, the people, or the university in which all three are well represented. It is for this reason that the university which does not strive to widen the boundaries of human knowledge, to tell the story of the new in terms that those familiar with the old can understand, and to put before its students a philosophical interpretation of historic civilization, is, I think, falling short of the demands which both society and university ideals themselves may fairly make. A group of distinguished scholars in separate and narrow fields can no more constitute a university than a bundle of admirably developed nerves, without a brain and spinal cord, can produce all the activities of the human organism.

There is, I venture to think, no ground for the ordinarily accepted statement of the relation of philosophy to theology and religion. It is usually said that while^hilosophy is the creation of an individual mind, theology or religion is, like folk-lore and language, the product of the collective mind of a people or a race. This is to confuse philosophy with philosophies, a conmion and, it must be admitted, a not unnatural confusion. But while a philosophy is the creation of a Plato, an Aristotle, a Spinoza, a Kant, or a Hegel,^hilosophy itself is, like religion, folk-lore and language, a product of the collective mind of humanity. It is advanced, as these are, by individual additions, interpretations and syntheses, but it is none the less quite istinct from such individual contributions. philosophy is humanity's hold on Totality, and it becomes richer and more helpful as man's intellectual horizon widens, as his intellectual vision grows clearer, and as his insights become more numerous and more sure. Theology is philosophy of a particular type. It is an interpretation of Totality in terms of God and His activities. In the impressive words of Principal Caird, that philosophy which is theology seeks "to bind together objects and events in the links of necessary thought, and to find their last ground and reason in that which comprehends and transcends all— the nature of God Himself." Religion is the apprehension and the adoration of the Grod Whom theology postulates.
If the whole history of philosophy be searched for material with which to instruct the beginner in what philosophy really is and in its relation to theology and religion, the two periods or epochs that stand out above all others as useful for this purpose are Greek thought from Thales to Socrates, and that interpretation of the teachings of Christ by philosophy which gave rise, at the hands of the Church Fathers, to Christian theology. In the first period we see the simple, clear-cut steps by which the mind of Europe was led from explanations that were fairy-tales to a natural, well-analyzed, and increasingly profound interpretation of the observed phenomena of Nature. The process is so orderly and so easily grasped that it is an invaluable introduction to the study of philosophic thinking. In the second period we see philosophy, now enriched by the literally huge contributions of Plato, Aristotle and the Stoics, intertwining itself about the simple Christian tenets and building the great system of creeds and thought which has immortalized the names of Athanasius and Hilary, Basil and Gregory, Jerome and Augustine, and which has given color and form to the intellectual life of Europe for nearly two thousand years. For the student of today both these developments have great practical value, and the astonishing neglect and ignorance of them both are most discreditable.

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The moral ideal has disappeared in all that has to do with international relations. The gain-seeking impulse supported by brute force has taken its place, and so far as the surface of things is concerned human civilization has gone back a full thousand years. Inconceivable though it be, we are brought face to face in this twentieth century with governments of peoples once great and highly civilized, whose word now means absolutely nothing. A pledge is something not to be kept, but to be broken. Cruelty and national lust have displaced human feeling and friendly international co-operation. Human life has no value, and the savings of generations are wasted month by month and almost day by day in mad attempts to dominate the whole world in pursuit of gain.
How has all this been possible? What has happened to the teachings and inspiring leadership of the great prophets and apostles of the mind, who for nearly three thousand years have been holding before mankind a vision of the moral ideal supported by intellectual power? What has become of the influence and guidance of the great religions Christian, Moslem, Hebrew, Buddhist with their counsels of peace and good-will, or of those of Plato and of Aristotle, of St. Augustine and of St. Thomas Aquinas, and of the outstanding captains of the mind Spanish, Italian, French, English, German who have for hundreds of years occupied the highest place in the citadel of human fame? The answer to these questions is not easy. Indeed, it sometimes seems impossible. Are we, then, of this twentieth century and of this still free and independent land to lose heart and to yield to the despair which is becoming so widespread in countries other than ours? Not for one moment will we yield our faith or our courage! We may well repeat once more the words of Abraham Lincoln: "Most governments have been based on the denial of the equal rights of men, ours began by affirming those rights. We made the experiment, and the fruit is before us. Look at it think of it!" However dark the skies may seem now, however violent and apparently irresistible are the savage attacks being made with barbarous brutality upon innocent women and children and non-combatant men, upon hospitals and institutions for the care of the aged and dependent, upon cathedrals and churches, upon libraries and galleries of the world s art, upon classic monuments which record the architectural achievements of centuries we must not despair. Our spirit of faith in the ultimate rule of the moral ideal and in the permanent establishment of liberty of thought, of speech, of worship and of government will not, and must not, be permitted to weaken or to lose control of our mind and our action.

There was a time when philosophy might have been defined as the science of human activity, so all-comprehensive was it. The ambitious Greek who would attach his name to a philosophical system must include in his scheme all that could be known, done, and speculated about God, the world, and man. In the course of time and the specialization of the sciences this view of philosophy fell away, and was replaced by the more exact and narrower conception of modern times.

Many definitions have been given of the word “education,” but underlying them all is the conception that it denotes an attempt on the part of the adult members of a human society to shape the development of the coming generation in accordance with its own ideals of life. It is true that the word has not infrequently been used in wider senses than this.

Where the forms of civil, religious and political liberty still exist, they must be strengthened and given new power over the hearts as well as over the minds of men. Faith must not be lost, and courage must not be lacking. The call is for every civilized human being who believes in justice, in liberty and in public morals. The bell is ringing!