A History of Western Philosophy

"The difference in method, here, may be characterized as follows: in Locke and Hume, a comparatively modest conclusion is drawn from a broad survey of facts, whereas in Leibniz, a vast edifice of deduction is pyramided upon a pin-point of logical principle. In Leibniz, if the principle is completely true and the deductions are entirely valid, all is well; but the structure in unstable, and the slightest flaw anywhere brings it down in ruins. In Locke and Hume, on the other contrary, the base of the pyramid is on the solid ground of observed fact, and the pyramid tapers upward, not downward; consequently the equilibrium is stable, and a flaw here and there can be rectified without total disaster. This difference of method survived Kant's attempt to incorporate something of the empirical philosophy: from Descartes to Hegel on the one side, and from Locke to John Stuart Mill on the other, it remains unvarying."

"Kant himself was a man whose outlook on practical affairs was kindly and humanitarian, but the same cannot be said of those who [as he did] rejected happiness as the good. The sort of ethic that is called "noble" is less associated with attempts to improve the world than is the more mundane view that we should seek to make men happier. ...Usually the substitute for happiness is some form of heroism. This affords unconscious outlets for the impulse to power, and abundant excuses for cruelty. Or, again, what is valued may be strong emotion; this was the case with the romantics. This led to a toleration of such passions as hatred and revenge; Byron's heroes are typical, and are never persons of exemplary behavior. ...a man's ethic usually reflects his character, and benevolence leads to a desire for the general happiness. Thus the men who thought happiness the end of life tended to be more benevolent, while those who proposed other ends were often dominated, unconsciously, by cruelty or love of power."

"These ethical differences are associated, usually though not invariably, with differences in politics. Locke, as we saw, is tentative in his beliefs, not authoritarian, and willing to leave every question to be decided by free discussion. The result, both in his case and in that of his followers, was a belief in reform, but of a gradual sort. Since their systems of thought were peicemeal, and the result of separate investigations of many different questions, their political views tended naturally to have the same character. They fought shy of large programs all cut out one block, and preferred to consider each question on its merits. In politics, as in philosophy, they were tentative and experimental."

"Their [Locke and his followers'] opponents, on the other hand, who thought they could "grasp this sorry scheme of things entire," were much more willing to "shatter it [the sociopolitical system] to bits and then remould it nearer to the heart's desire." They might do this as revolutionaries, or as men who wished to increase the authority of the powers that be; in either case, they did not shrink from violence in pursuit of vast objectives, and they condemned love of peace as ignoble."

"The great political defect of Locke and his disciples, from a modern point of view, was their worship of property. But those who criticized them on this account often did so in the interest of classes that were more harmful than the capitalists, such as monarchs, aristocrats, and militarists."

"Philosophy... is something intermediate between theology and science. Like theology, it consists of speculations on matters as to which definite knowledge has, so far, been unascertainable; but like science, it appeals to human reason rather than authority, whether that of tradition or that of revelation."

"All definite knowledge—so I should contend—belongs to science; all dogma as to what surpasses definite knowledge belongs to theology. But between theology and science there is a No Man’s Land, exposed to attack by both sides; this No Man’s Land is philosophy."

"Uncertainty, in the presence of vivid hopes and fears, is painful, but must be endured if we wish to live without the support of comforting fairy tales. It is not good either to forget the questions that philosophy asks, or to persuade ourselves that we have found indubitable answers to them."

"To teach how to live without certainty, and yet without being paralyzed by hesitation, is perhaps the chief thing that philosophy, in our age, can still do for those who study it."

"The conflict between Church and State [11th century until after 1300] was not only a conflict between clergy and laity; it was also a renewal of the conflict between the Mediterranean world and the northern barbarians. The unity of the Church echoed the unity of the Roman Empire; its liturgy was Latin, and its dominant men were mostly Italian, Spanish, or southern French. Their education, when education revived, was classical... The Church represented at once continuity with the past and what was most civilized in the present."

"The king had to share his power with the feudal aristocracy, but all alike expected to be allowed occasional outbursts of passion in the form of war, murder, pillage, or rape. Monarchs might repent, for they were sincerely pious and, after all, repentance was itself a form of passion. But the Church could never produce in them the quiet regularity of good behavior which a modern employer demands, and usually obtains, of his employees."

"All the armed force was on the side of the kings, and yet the Church was victorious. The Church won, partly because it had almost a monopoly of education, partly because the kings were perpetually at war with each other, but mainly because... The Church could decide whether a king should spend eternity in heaven or in hell; the Church could absolve subjects from the duty of allegiance, and so stimulate rebellion. The Church, moreover, represented order in place of anarchy, and consequently won the support of the rising mercantile class."

"The national State... progressively destroyed what remained of the Roman belief in the unity of civilization."

"What happened in the great age of Greece happened again in Renaissance Italy: traditional moral restraints disappeared, because they were seen to be associated with superstition; the liberation from fetters made individuals energetic and creative, producing a rare florescence of genius; but the anarchy and treachery which inevitably resulted from the decay of morals made Italians collectively impotent, and they fell, like the Greeks, under domination of nations less civilized than themselves but not so destitute of social cohesion. The result, however, was less disastrous than in the case of Greece, because the newly powerful nations, with the exception of Spain, showed themselves as capable of great achievements as the Italians had been."

"The Catholic Church was derived from three sources. Its sacred history was Jewish, its theology was Greek, its government and canon law were, at least indirectly, Roman. The Reformation rejected the Roman elements, softened the Greek elements, and greatly strengthened the Judaic elements. It thus co-operated with the nationalist forces which were undoing the work of social cohesion which had been effected first by the Roman Empire and then by the Roman Church."

"In Catholic doctrine, divine revelation did not end with the scriptures, but continued from age to age through the medium of the Church... Protestants, on the contrary, rejected the Church as a vehicle of revelation; truth was to be sought only in the Bible, which each man could interpret for himself. ...In practice, the State claimed the right that had formerly belonged to the Church, but this was a usurpation. In Protestant theory, there should be no earthly intermediary between the soul and God."

"There came to be not one Protestantism, but a multitude of sects; not one philosophy opposed to scholasticism, but as many as there were philosophers; not, as in the thirteenth century, one Emperor opposed to the Pope, but a large number of heretical kings. The result, in thought as in literature, was a continually deepening subjectivism, operating at first as a wholesome liberation from spiritual slavery, but advancing steadily towards a personal isolation inimical to sanity."

"Modern philosophy begins with Descartes, whose fundamental certainty is the existence of himself and his thoughts, from which the external world is to be inferred. This was only the first stage in a development, through Berkeley and Kant, to Fichte, for whom everything is only an emanation of the ego. This was insanity, and from this extreme, philosophy has been attempting, ever since, to escape into the world of every-day common sense."

"With subjectivism in philosophy, anarchism in politics goes hand in hand. Already during Luther's lifetime, unwelcome and unacknowledged disciples had developed the doctrine of Anabaptism... The Anabaptists refuted all law, since they held that the good man will be guided at every moment by the Holy Spirit, who cannot be bound by formulas. From this premiss they arrive at communism and sexual promiscuity; they were therefore exterminated after a heroic resistance. But their doctrine, in softened forms, spread to Holland, England and America, historically, it is the source of Quakerism."

"A fiercer form of anarchism, no longer connected with religion, arose in the nineteenth century. ...This modern form, though anti-religious, has still much of the spirit of early Protestantism; it differs mainly in directing against secular governments the hostility that Luther directed against the popes."

"In morals, the Protestant emphasis in the individual conscience was essentially anarchic. Habit and custom were so strong that, except in occasional outbreaks such as that of Münster, the disciples of individualism in ethics continued to act in a manner which was conventionally virtuous. But this was a precarious equilibrium."

"The eighteenth-century cult of "sensibility" began to break down: an act was admired, not for its good consequences, or for its conformity to a moral code, but for the emotion that inspired it. Out of this attitude developed the cult of the hero, as it is expressed in Carlyle and Nietzsche, and the Byronic cult of violent passion of no matter what kind."

"Against the more insane forms of subjectivism in modern times, there have been various reactions. First, a half-way compromise philosophy, the doctrine of liberalism, which attempted to assign the respective spheres of government and the individual. This begins, in its modern forms, with Locke, who is as much opposed to "enthusiasm" - the individualism of the Anabaptists - as to absolute authority and blind subservience to tradition."

"A more thoroughgoing revolt leads to the doctrine of State worship, which assigns to the State the position that Catholicism gave to the Church, or even, sometimes, to God. Hobbes, Rousseau, and Hegel represent different phases of this theory, and their doctrines are embodied practically in Cromwell, Napoleon, and modern Germany. Communism, in theory, is far removed from such philosophies, but it is driven, in practice, to a type of community very similar to that which results from State worship."

"...from 600 B.C. to the present day, philosophers have been divided into those who wished to tighten social bonds and those who wished to relax them."

"The disciplinarians have advanced some system of dogma, either old or new, and have therefore been compelled to be, in a greater or less degree, hostile to science, since their dogmas could not be proved empirically. They have almost invariably taught that happiness is not the good, but that "nobility" and "heroism" is to be preferred. They have had a sympathy with the irrational parts of the human nature, since they have felt reason [rationality] to be inimical to social cohesion."

"The libertarians... with the exception of extreme anarchists, have tended to be scientific, utilitarian, rationalistic, hostile to violent passion, and enemies of all the more profound forms of religion."

"Every community is exposed to two opposite dangers: ossification through too much discipline and reverence for tradition, on the one hand; and on the other, dissolution, or subjugation to foreign conquest, through the growth of an individualism and personal independence that makes co-operation impossible. In general, important civilizations start with a rigid and superstitious system, gradually relaxed, and leading, at a certain stage, to a period of brilliant genius, while the good of the old traditional remains and the evil inherent in its dissolution has not yet developed. But as the evil unfolds, it leads to anarchy, thence, inevitably, to a new tyranny, producing a new synthesis secured by a new system of dogma."

"The doctrine of liberalism is an attempt to escape from this endless oscillation. The essence of liberalism is an attempt to secure a social order not based on irrational dogma, and insuring stability without involving more restraints than are necessary for the preservation of the community."

"Science may set limits to knowledge, but should not set limits to imagination."

"Pythagoras... was intellectually one of the most important men that ever lived... Mathematics, in the sense of demonstrative deductive argument, begins with him, and in him is intimately connected with a peculiar form of mysticism. The influence of mathematics on philosophy, partly owing to him, has, ever since his time, been both profound and unfortunate."

"He founded a religion, of which the main tenets were transmigration of souls and the sinfulness of eating beans. His religion was embodied in a religious order, which, here and there, acquired control of the State and established a rule of the saints. But the unregenerate hankered after beans and sooner or later rebelled."

"In the society that he founded, men and women were admitted on equal terms; property was held in common, and there was a common way of life. Even scientific and mathematical discoveries were deemed collective, and in a mystical sense due to Pythagoras, even after his death."

"Most sciences, at their inception, have been connected with some form of false belief, which gave them a fictitious value. Astronomy was connected with astrology, chemistry with alchemy. Mathematics was associated with a more refined type of error. Mathematical knowledge appeared to be certain, exact, and applicable to the real world; moreover it was obtained by mere thinking, without the need for observation. Consequently, it was thought to supply an ideal, from which every-day empirical knowledge fell short. It was supposed, on the basis of mathematics, that thought is superior to sense, intuition to observation. If the world of sense does not fit the world of mathematics, so much the worse for the world of sense. In various ways, methods of approaching the mathematician's ideal were sought, and the resulting suggestions were the source of much that was mistaken in metaphysics and theory of knowledge. This form of philosophy begins with Pythagoras."

"Pythagoras, as everyone knows, said that "all things are numbers." This statement, interpreted in a modern way, is logical nonsense, but what he meant was not exactly nonsense. He discovered the importance of numbers in music and the connection which he established between music and arithmetic survives in the mathematical terms "harmonic mean" and "harmonic progression." He thought of numbers as shapes, as they appear on dice or playing cards. We still speak of squares or cubes of numbers, which are terms that we owe to him. He also spoke of oblong numbers, triangular numbers, pyramidal numbers, and so on. These were the numbers of pebbles (or as we would more naturally say, shot) required to make the shapes in question. ...He presumably thought of the world as atomic, and of bodies as built up of molecules composed of atoms arranged in various shapes. In this way he hoped to make arithmetic the fundamental study in physics as in aesthetics."

"Unfortunately for Pythagoras, his theorem led at once to the discovery of incommensurables, which appeared to disprove his whole philosophy. So long as no adequate arithmetical theory on incommensurables existed, the method of Euclid was the best that was possible in geometry. When Descartes introduced co-ordinate geometry, thereby again making arithmetic supreme, he [Descartes] assumed the possibility of a solution of the problem of incommensurables, though in his day no such solution had been found."

"The influence of geometry upon philosophy and scientific method has been profound. Geometry, as established by the Greeks, starts with axioms which are (or are deemed to be) self-evident, and proceeds, by deductive reasoning, to arrive at theorems which are very far from self-evident. The axioms and theorems are held to be true of actual space, which is something given in experience. It thus appeared to be possible to discover things about the actual world by first noticing what is self-evident and then using deduction. This view influenced Plato and Kant, and most of the intermediate philosophers. ...The eighteenth century doctrine of natural rights is a search for Euclidean axioms in politics. The form of Newton's Principia, in spite of its admittedly empirical material, is entirely dominated by Euclid. Theology, in its exact scholastic forms, takes its style from the same source."

"Personal religion is derived from ecstasy, theology from mathematics, and both are to be found in Pythagoras."

"Mathematics is, I believe, the chief source of the belief in eternal and exact truth, as well as in a super-sensible world. Geometry deals with exact circles, but no sensible object is exactly circular; however carefully we use our compasses, there will be some imperfections and irregularities. This suggests the view that all exact reasoning applies to ideal as opposed to sensible objects; it is natural to go further, and to argue that thought is nobler than sense, and the objects of thought more real than that of sense-perception."

"Mystical doctrines as to the relation of time to eternity are also reinforced by pure mathematics, for the mathematical objects, such as numbers, if real at all, are eternal and not in time. Such eternal objects can be conceived as God's thoughts. Hence Plato's doctrine that God is a geometer, and Sir James Jeans' belief that He is addicted to arithmetic."

"Rationalistic as opposed to apocalyptic religion has been, ever since Pythagoras, and notably ever since Plato, very completely dominated by mathematics and mathematical method."

"The combination of mathematics and theology, which began with Pythagoras, characterized religious philosophy in Greece, in the Middle Ages, and in modern times down to Kant. Orphism before Pythagoras was analogous to Asiatic mystery religions. But in Plato, Saint Augustine, Thomas Aquinas, Descartes, Spinoza, and Kant there is an intimate blending of religion and reasoning, of moral aspiration with logical admiration of what is timeless, which comes from Pythagoras, and distinguishes the intellectualized theology of Europe from the more straightforward mysticism of Asia."

"It is only in quite recent times that it has been possible to say clearly that Pythagoras was wrong."

"I do not know of any other man who has been as influential as he was in the sphere of thought. I say this because what appears as Platonism is, when analyzed, found to be in essence Pythagoreanism. The whole conception of an eternal world, revealed to the intellect but not to the senses, is derived from him. ...but for him, theologians would not have sought logical proofs of God and immortality."

"Progress in metaphysics, so far as it has existed, has consisted of gradual refinement of all these hypotheses, a development of their implications, and a reformulation of each to meet the objections urged by the adherents of rival hypotheses. To learn to conceive the universe according to each of these systems is an imaginative delight and an antidote to dogmatism."

"Now almost all the hypotheses that have dominated modern philosophy were first thought of by the Greeks... I shall regard them as giving birth to theories which have had an independent life and growth, and which, though at first somewhat infantile, have proved capable of surviving and developing throughout more than two thousand years."

"The Greeks... discovered mathematics and the art of deductive reasoning. Geometry, in particular, is a Greek invention, without which modern science would have been impossible."

"But in connection with mathematics the one-sidedness of the Greek genius appears: it reasoned deductively from what appeared self-evident, not inductively from what had been observed. Its amazing successes in the employment of this method misled not only the ancient world, but the greater part of the modern world also."

"It has only been very slowly that scientific method, which seeks to reach principles inductively from observation of particular facts, has replaced the Hellenic belief in deduction from luminous axioms derived from the mind of the philosopher."

"In studying a philosopher, the right attitude is nether reverence nor contempt, but first a kind of hypothetical sympathy, until it is possible to know what it feels like to believe in his theories, and only then a revival of the critical attitude, which should resemble, as far as possible, the state of mind of a person abandoning opinions which he has hitherto held. Contempt interferes with the first part of this process, and reverence with the second."