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April 10, 2026
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"[W]e shall be concerned with the general nature of pure mathematics, and how it is distinguished from other sciences. Here there are... two distinct categories of things of which an account must be given—the ideas or concepts of mathematics, and the propositions of mathematics. ...the great majority of writers on the subject have concentrated their attention on the explanation of one or the other... and erroneously supposed that a satisfactory explanation of the other would immediately follow."
"The first problem I propose to tackle is this: how much of its income should a nation save? To answer this a simple rule is obtained valid under conditions of surprising generality; the rule, which will be further elucidated later, runs as follows. The rate of saving multiplied by the marginal utility of money should always be equal to the amount by which the total net rate of enjoyment of utility falls short of the maximum possible rate of enjoyment."
"It is certainly the case that there can exist an atheistic mysticism, a mystical experience naked and not clothed in any religious garb."
"Mystics more often than not avoid direct reference to themselves."
"Thus we see that mysticism naturally, though not necessarily, becomes intimately associated with whatever is the religion of the culture in which it appears."
"[T]he formalist school, of whom the most eminent representative is Hilbert, have concentrated on the propositions of mathematics, such as '2 + 2 = 4'. They have pronounced these to be meaningless formulae to be manipulated according to arbitrary rules, and they hold that mathematical knowledge consists in knowing what formulae can be derived from what others consistently with the rules. ...for example...'2' is a meaningless mark occurring in these meaningless formulae. But... '2' occurs not only in '2 + 2 = 4', but also in 'It is 2 miles to the station', which is not a meaningless formulae, but a significant proposition, in which '2' cannot conceivably be a meaningless mark."
"The loss of Ramsey is... to his friends, for whom his personal qualities joined most harmoniously with his intellectual powers, one which it will take them long to forget. His bulky Johnsonian frame, his spontaneous gurgling laugh, the simplicity of his feelings and reactions... his honesty of mind and heart, his modesty, and the amazing, easy efficiency of the intellectual machine which ground away behind his wide temples and broad smiling face, have been taken from us at the height of their excellence and before their harvest of work and life could be gathered in."
"The great error of traditional proofs of the existence of god is that they try to take a symbolic truth for a literal truth, a truth of fact, and then try to prove that it is a fact."
"It must now be added that these attempts at proof not only fail of their purpose, and so do no good to religion, but that they positively degrade it."
"There is no such thing as natural theology. God is either known by revelation - that is to say, by intuition - or not at all."
"If God does not lie at the end of any telescope, neither does he lie at the end of any syllogism. I can never starting from the natural order prove the divine order. The proof of the divine order must lie, somehow, within itself. It must be its own witness. For it, like the natural order, is complete within itself, self-contained."
"The same character of revelation, which we find in poetry, attaches to mystical illumination, although here the revelation is always the divine."
"The true religious doctrine is that the world is to be both denied and not to be denied."
"The pure religious consciousness lies in a region which is forever beyond all proof or disproof."
"The word "mysticism" is popularly used in a variety of loose and inaccurate ways. Sometimes anything is called "mystical" which is misty, foggy, vague, or sloppy. It is absurd that "mysticism" should be associated with what is "misty" because of the similar sound of the words. And there is nothing misty, foggy, vague, or sloppy about mysticism."
"But the divine mystery is inherent in the divine, a part of the nature of God, and can never disappear. And this means that it is still a mystery even to the mystic who has directly experienced it, nay, even to God Himself. That is why it is ineffable. The mystery and the ineffability of God are one and the same thing."
"Thus to say that God is ineffable is to say that no concepts apply to Him, and that He is without qualities."
"It is only by intuition that the infinite can be apprehended. But why is this? Why cannot the infinite be apprehended by concepts? To see this we must understand that the word "infinite," in the religious sense, has nothing at all to do with that sense of the word in which it is applied to space, time, and the number series. We may call this latter the mathematical infinite to distinguish it from the religious infinite. And it is the confusion between these two which misled us into the false trail of supposing that the infinity of God's mind refers to the amount of His knowledge and that the finitude of man's mind refers to his ignorance. The religious infinite, or in other words the infinity of God, means that than 'which there is no other. In this sense neither space nor time could be infinite, since space is an "other" to time, and time is an "other" to space."
"Either God is a Mystery or He is nothing at all."
"And we think that this ultimate blessedness differs only in degree from the happy and joyful experiences of our lives. Whereas the truth is that it differs in kind. The joys, not only of the earth, but of any conceivable heaven - which we can conceive only as some happy and fortunate prolongation of our lives in time - are not of the same order as that ultimate blessedness."
"But it is not an exaggeration to say that mystical experience is everywhere unitary in the same sense that everywhere aesthetic experience is unitary. British, American, German, Indian, Chinese, Japanese art are of course very different from one another. Yet they have one root in their basic experience of beauty."
"It is a commonplace that eternity is not an endless prolongation of time, has nothing to do with time. Eternity is a characteristic of the mystical experience. The word eternity doubtless meant originally endlessness of time, which must count, therefore, as its literal meaning. But in its religious and metaphysical use it is a metaphor for the characteristic of the experience. For in that experience time drops away and is no more seen."
"The most important, the central characteristic in which all fully developed mystical experiences agree, and which in the last analysis is definitive of them and serves to mark them off from all other kinds of experiences, is that they involve the apprehension of an ultimate nonsensuous unity in all things, a oneness or a One to which neither the sense nor the reason can penetrate."
"Thus when Plotinus speaks of "the flight of the alone to the Alone," and the positivist or the empiricist asserts that these words are meaningless, he is right. Yet this does not import that the words are nonsense locutions, mere senseless noises which a man makes like a cough or a sneeze though it is possible that this is what the positivist intends. If this were so, it would be impossible to explain why generations of men have quoted those famous words. The explanation is that the words evoke in us a measure of the same experience which the author of them had. Our experience may be but a dim reflection of what was in him bright and clear. Our spirits vibrate faintly in unison with the soul of the great mystic, as a tuning fork vibrates faintly in response to the sound of the clear bell. But it is our own spontaneous experience which is evoked; it is not his experience which is communicated to us. His words are as grappling irons let down into the depths of our subconsciousness, which draw our own inner experiences nearer to the conscious threshold. But they are not, for most of us, drawn above the threshold. They remain below the surface faintly visible. Therefore they appear at the upper levels of our consciousness as faint hints, glimpses, and sometimes as mere vague feelings."
"How is it possible for both naturalism and religion - atheism and theism, if you prefer it - to be but two sides of one truth, is the same as the problem how God can be both being and non-being, as one of the most ancient religious and mystical insights proclaims he is, or how he can be both the Eternal Yes and the Eternal Nay, as Böhme affirmed."
"The incommensurability of the mystical with the sensory-intellectual consciousness is also the ultimate reason why we have to exclude visions and voices, telepathy, precognition, and clairvoyance from the category of the mystical."
"To be genuinely civilized means to be able to walk straightly and to live honorably without the props and crutches of one or another of the childish dreams which have so far supported men. That such a life is likely to be ecstatically happy I will not claim. But that it can be lived in quiet content, accepting resignedly what cannot be helped not expecting the impossible, and being thankful for small mercies, this I would maintain. That it will be difficult for men in general to learn this lesson I do not deny. But that it will be impossible I would not admit since so many have learned it already."
"Religion can probably out live any scientific discoveries which could be made. It can accommodate itself to them. The root cause of the decay of faith has not been any particular discovery of science, but rather the general spirit of science and certain basic assumptions upon which modern science, from the seventeenth century onwards, has proceeded."
"People are often mistaken about what is good for the health of their bodies. That is why we have doctors. And people are just as likely to be mistaken about what will be good for the happiness of their souls. That is why we have moralists."
"The real turning point between the medieval age of faith and the modern age of unfaith came when the scientists of the seventeenth century turned their backs upon what used to be called “final causes.” The final cause of a thing or event meant the purpose which it was supposed to serve in the universe, its cosmic purpose."
"Morals have a perfectly firm and objective foundation in human personality. If men can be brought to understand this, then moral faith may be restored. The problem is really one of education."
"It is not likely that science, which is basically the cause of our spiritual troubles, is likely also to produce the cure for them. Also it lies in the nature of science that, though it can teach us the best means for achieving our ends, it can never tell us what ends to pursue."
"It has been said that man lives by truth, and that the truth will make us free. Nearly the opposite seems to me to be the case. Mankind has managed to live only by means of lies, and the truth may very well destroy us."
"Religion can get on with any sort of astronomy, geology, biology, physics. But it cannot get on with a purposeless and meaningless universe. If the scheme of things is purposeless and meaningless, then the life of man is purposeless and meaningless too. Everything is futile, all effort is in the end worthless. A man may, of course, still pursue disconnected ends, money, fame, art, science, and may gain pleasure from them. But his life is hollow at the center. Hence the dissatisfied, disillusioned, restless, spirit of modern man."
"With Ramsey’s young death, the world of learning was robbed of one of its most glittering stars. It is now time that he receive his due. What is needed is a thorough biography that would describe and place in intellectual history his important contributions to economics, mathematics, and philosophy, while keeping an eye out for what Virginia Woolf called the “fertile facts” that would reveal to us not only the impressive mind, but also the somewhat elusive personality of this extraordinary man."
"All religious thought and speech are through and through symbolic. And this fundamental insight is perhaps as old as religion itself."
"Political thought as we understand it began in Athens because the Athenians were a trading people who looked at their contemporaries and saw how differently they organized themselves. If they had not lived where they did and organized their economic lives as they did, they could not have seen the contrast. Given the opportunity, they might not have paid attention to it. The Israelites of the Old Testament narrative were very conscious of their neighbors, Egyptian, Babylonian, and other, not least because they were often reduced to slavery or near-slavery by them. That narrative makes nothing of the fact that Egypt was a bureaucratic theocracy; it emphasizes that the Egyptians did not worship Yahweh. The history of Old Testament politics is the history of a people who did their best to have no politics. They saw themselves as under the direct government of God, with little room to decide their own fate except by obeying or disobeying God’s commandments. Only when God took them at their word and allowed them to choose a king did they become a political society, with familiar problems of competition for office and issues of succession. For the Jews, politics was a fall from grace. For the Greeks, it was an achievement. Many besides Plato thought it a flawed achievement; when historians and philosophers began to articulate its flaws, the history of political thought began among the argumentative Athenians."
"The one thing we can say is that if Socrates really expected to get a definitive answer to his question, 'What is justice?' when talking to his friends on their way back to the Piraeus, he has been disappointed. It remains a contentious and disputed subject."
"Much of the time, the question goes unasked in prosperous liberal democracies like Britain or the United States, because most of us see political equality as exhausted by “one person, one vote” and dig no deeper; we know that one person, one vote coexists with the better-off and better-organized buying influence through lobbying, campaign contributions, and use of the mass media, but we find ourselves puzzled to balance a belief that everyone has the right to use his or her resources to influence government—which is certainly one form of political equality—with our sense that excessive inequality of political resources undermines democracy."
"Plato was accused by some of his twentieth-century critics of racism, totalitarianism, fascism, and other political crimes with a very contemporary flavor. These accusations are too anachronistic to be taken seriously; whatever explains Hitler and Mussolini, it is not the dialogues of Plato. The more plausible complaint is that Plato does not take seriously the inescapability of politics in some form. Plato’s metaphysics is fascinating; so is his conviction that the just man does better than the unjust man, no matter what earthly fate befalls him. His political thinking often amounts to an injunction to abolish the conflicts that politics exists to resolve and fantasies about how it might be done."
"I am uncomfortable with the thought that serious thinkers about politics may retire into the ivory tower and write difficult—if often very interesting—essays and books for their colleagues alone, leaving debates over the prospects of modern political life to the punditry of contributors to the op-ed pages, or the shouting matches that pass for political debate on some television channels."
"Aristotle’s perspective is not ours. Modern political discussion is imbued with a concern for individual human rights; we look to institutions to hold accountable those who wield power over their fellows, so that the rights of individuals are respected. Aristotle does not. Because he sees the world in teleological terms, he asks—as Plato did—how we can ensure that the state functions as it should. The excellence of the citizenry and the excellence of the constitution are understood in that light. Hence, of course, Aristotle’s focus on the collective intelligence and collective good sense of collectives; if “the many” are not to be trusted, it remains true that many heads are better than one."
"Aristotle’s enthusiasm for the preservation of social distinction and his emphasis on the social position of the “high-souled” man remind us that even in his favored politeia, with as many respectable and steady men of the middle class admitted to political participation as is possible, Aristotle hankered after the rule of true, that is, natural aristocrats. If that attitude is not unknown two and a half millennia later, his unconcern with those left out of this vision of the world—women, ordinary working people, foreigners, slaves—is happily rather less common. But we shall not see much sympathy for ordinary lives and ordinary happiness for many centuries yet, certainly not in the work of Cicero."
"Justice stands in an awkward relationship with utility. The general practice of justice conduces to human welfare, probably more than anything else. The old tag sums up justice as 'honeste vivere, neminem laedere, suum cuique tribuere' … Yet, justice seems also to conflict with utility and even with the general welfare, let alone the welfare of particular people."
"As his life and death suggest, Cicero was addicted to Roman politics; he wrote beautifully about the pleasures of a quiet life in the countryside, but hankered for the hurly-burly of the Senate and the courts. His political theory is reflective but far from dispassionate."
"I say cowardice, because the stanÂdards which is Isaiah Berlin himself has set for anyone who undertakes such an enterprise are dauntingly high. His ability to catch the allegiances and the emotional tone of the authors he has written about, as well as his ability to meet the commentator's first duty to the subtleties of their thought, has always meant that their per sonalities and ideas alike have remained in tact and alive."
"Mankind has always argued about justice and injustice, while social scientists and politicians have endlessly discussed the conditions which make justice more or less attainable. These essays discuss a more philosophical issue-what justice is and why it matters. Although their authors were philosophers, few of them were 'professional ' philosophers..."
"This is appropriate. Justice is the most 'political' or institutional of the virtues. The legitimacy of a state rests upon its claim to do justice. … Doing justice is not the primary purpose of the family, the classroom, the small business, even though a father, teacher, or employer ought to behave justly towards children, pupils, or employees when rearing them, teaching them, . and employing them."
"Justice is peculiarly stringent. Its demands may not be modified. Judges and rulers must 'do justice though the heavens fall', not allow family connections, friendship, or even personal worth to turn them aside."
"Justice is closely connected to respect for rights. Modern writers discuss both subjects together with no suggestion that one might discuss one with the other. It was not always so. Greek political theory and Roman Law had sophisticated ideas about justice in its various aspects, but did not embrace our conception of individual rights. This may seem counter-intuitive. How could a society recognize someone as the owner of a piece of property without acknowledging an individual right? How does legitimate one-man rule, monarchy, differ from its illegitimate parody, tyranny, unless the lawful king has a right to the authority he exercises that the tyrant does not? The answer is that property and authority were defined by law rather than our notion of individual rights. To own property was to be the person to whom the law accorded the privileges and immunities that locally defined ownership. To be a legitimate ruler was to be the person the law designated to rule. It is a commonplace that ancient notions of law accorded far more power over property to the family and other groups than modern notions of private property do. Even under the Roman Law, where ownership had an 'absolute' and sovereign character, property was not understood in the modern way; when the law told the judge to give a man his ius, this primarily meant that he should be treated as the law required. The 'subjective' understanding of rights, whereby the right-holder may stand on his rights or not as he chooses, was not a Roman notion."