The principal aim of mathematical education is to develop certain faculties of the mind, and among these intuition is not the least precious. It is through it that the mathematical world remains in touch with the real world, and even if pure mathematics could do without it, we should still have to have recourse to it to fill up the gulf that separates the symbol from reality.

A widow, the mother of a family, and from her heart she produces chords to which my whole being responds.

There is no way of being almost funny or mildly funny or fairly funny or tolerably funny. You are either funny or not funny and there is nothing in between. And usually it is the writer who thinks he is funny and the reader who thinks he isn't.

The opposite of an idealist is too often a man without love.

Let us speak plainly: everything which keeps us from self-dissolution, every lie which protects us against our unbreathable certitudes is religious.

Our century of war, militarism, and political terror has produced great - and successful - advocates of true peace, among whom Mohandas Gandhi and Martin Luther King, Jr., are the paramount examples. The considerable success that they achieved testifies to the presence, in the midst of violence, of an authentic and powerful desire for peace and, more important, of the proven will to make the necessary sacrifices.

To fear love is to fear life, and those who fear life are already three parts dead.

The idea that the citizen owes loyalty to a country, a territory, a jurisdiction and all those who reside within it - the root assumption of democratic politics, and one that depends upon the nation as its moral foundation - that idea has no place in the minds and hearts of many who now call themselves citizens of European states.

The problem is one of opposition between subjective and objective points of view. There is a tendency to seek an objective account of everything before admitting its reality. But often what appears to a more subjective point of view cannot be accounted for in this way. So either the objective conception of the world is incomplete, or the subjective involves illusions that should be rejected.

The entire process seems simple and natural, i.e., possesses the naturalness of a shallow rationalism.

It was not delight, not wonder that arose among us, it was the peace of heaven. A thousand times have I said it to her and to myself: the most beautiful is also the most sacred. And such was everything in her. Like her singing, even so was her life.

The wife of my God is matter; they wrestle with each other, they laugh and weep, they cry out in the nuptial bed of flesh. They spawn and are dismembered. They fill sea, land, and air with species of plants, animals, men, and spirits. This primordial pair embraces, is dismembered, and multiplies in every living creature. All the concentrated agony of the Universe bursts out in every living thing. God is imperiled in the sweet ecstasy and bitterness of flesh. But he shakes himself free, he leaps out of brains and loins, then clings to new brains and new loins until the struggle for liberation again breaks out from the beginning.

We are obliged to regard many of our original minds as crazy - at least until we have become as clever as they are.

What, exactly, have the errors of exegesis and philosophy done in order to confuse Christianity, and how have they confused Christianity? Quite briefly and categorically, they have simply forced back the sphere of paradox-religion into the sphere of aesthetics, and in consequence have succeeded in brings Christian terminology to such a pass that terms which, so long as they remain within their sphere, are qualitative categories, can be put to almost any use as clever expressions.

Death is the only thing we haven't succeeded in completely vulgarizing.

As for one-party rule, it was questioned neither by the Left Opposition nor by the Right [wing of the Communist party]. All were prisoners of their own doctrine and their own past: all had worked with a will to create the apparatus of violence that crushed them. Bukharin's hopeless attempt to form a league with Kamenev was no more than a pitiful epilogue to his career. In November 1929 the deviationists performed a public act of penance, but even this did not save them. Stalin's victory was complete; the collapse of the Bukharinite opposition meant the triumph of autocracy in the party and in the country. In December 1929 Stalin's fiftieth birthday was celebrated as a major historical event, and from this point we may date the "cult of personality". Trotsky's prophecy of 1903 had come true: party rule had become Central Committee rule, and this in turn had becorne the personal tyranny of a dictator.

By such reflections and by the continuance in them of a divine nature, the qualities which we have described grew and increased among them; but when the divine portion began to fade away, and became diluted too often and too much with the mortal admixture, and the human nature got the upper hand, they then, being unable to bear their fortune, behaved unseemly, and to him who had an eye to see grew visibly debased, for they were losing the fairest of their precious gifts; but to those who had no eye to see the true happiness, they appeared glorious and blessed at the very time when they were full of avarice and unrighteous power.

I posit myself as rational, that is, as free. In doing so I have the representation of freedom. In the same undivided act I posit other free beings. Hence, I describe through my power of imagination a sphere of freedom, which these many separate beings divide amongst themselves. I do not ascribe to myself all the freedom which I have posited, because I must also posit other free beings, and must ascribe part of it to them. Thus, in appropriating freedom to myself, I at the same time restrict myself, by leaving freedom to others.

The problem... Democracy is founded by a politeia, a constitution, where the demos, the people, exercise power, and... everyone is equal in front of the law. Such a constitution... is condemned to give equal place to all forms of parrhesia, even the worst. Because parrhesia is given even to the worst citizens, the overwhelming influence of bad, immoral, or ignorant speakers may lead... into tyranny, or... otherwise endanger the city. Hence parrhesia may be dangerous for democracy itself.

And yet Catholicism does not abandon ethics. No! No modern religion can leave ethics on one side. But our religion - although its doctors may protest against this - is fundamentally and for the most part a compromise between eschatology and ethics; it is eschatology pressed into the service of ethics. What else but this is that atrocity of the eternal pains of hell, which agrees so ill with the Pauline apocatastasis? Let us bear in mind these words which the Theologica Germanica, the manual of mysticism that Luther read, puts into the mouth of God: "If I must recompense your evil, I must recompense it with good, for I am and have no other." And Christ said: "Father, forgive them, for they know not what they do," and there is no man who perhaps knows what he does.

The fault with Hegel lies much deeper than in his glorification of the Prussian monarchy. He is guilty not so much of being servile as of betraying his highest philosophical ideas. His political doctrine surrenders society to nature, freedom to necessity, reason to caprice. And in so doing, it mirrors the destiny of the social order that falls, while in pursuit of its freedom, into a state of nature far below reason.

Certainly no nation ever before abandoned to the avarice and jugglings of private individuals to regulate according to their own interests, the quantum of circulating medium for the nation - to inflate, by deluges of paper, the nominal prices of property, and then to buy up that property at 1s. in the pound, having first withdrawn the floating medium which might endanger a competition in purchase. Yet this is what has been done, and will be done, unless stayed by the protecting hand of the legislature. The evil has been produced by the error of their sanction of this ruinous machinery of banks; and justice, wisdom, duty, all require that they should interpose and arrest it before the schemes of plunder and spoliation desolate the country.

With regard to politics and the character of princes and great men, I think I am very moderate. My views of things are more conformable to Whig principles; my representation of persons to Tory prejudices. Nothing can so much prove that men commonly regard more persons than things, as to find that I am commonly numbered among the Tories.

Once you've dissected a joke, you're about where you are when you've dissected a frog. It's dead. 

The statesman who should attempt to direct people in what manner they ought to employ their capitals, would not only load himself with a most unnecessary attention, but assume an authority which could safely be trusted, not only to no single person, but to no council or senate whatever, and which would nowhere be so dangerous as in the hands of a man who had folly and presumption enough to fancy himself fit to exercise it.

All things are artificial, for nature is the Art of God.

The most important part of education - to teach the meaning of to know (in the scientific sense). The last statement in her notebook

In a shared fish, there are no bones.

We must needs believe in the other life, in the eternal life beyond the grave. ...And we must needs believe in that other life, perhaps, in order that we may deserve it, in order that we may obtain it, for it may be that he neither deserves it nor will obtain it who does not passionately desire it above reason and, if need be, against reason.

Religion in most countries, more or less in every country, is no longer what it was, and should be,-a thousand-voiced psalm from the heart of Man to his invisible Father, the fountain of all Goodness, Beauty, Truth, and revealed in every revelation of these; but for the most part, a wise prudential feeling grounded on mere calculation; a matter, as all others now are, of Expediency and Utility; whereby some smaller quantum of earthly enjoyment may be exchanged for a far larger quantum of celestial enjoyment. Thus Religion too is Profit, a working for wages; not Reverence, but vulgar Hope or Fear.

I think television has betrayed the meaning of democratic speech, adding visual chaos to the confusion of voices. What role does silence have in all this noise?

The arrogance of age must submit to be taught by youth.

Well, as you know, I was blessed to do over a hundred events for my dear brother [Bernie Sanders]. And this is the first time I've had a chance to publicly endorse him again, but yes, indeed. I'll be in his corner that we're going to win this time. And it has to do with the Martin Luther King like criteria of assessing a candidate namely the issues of militarism, poverty, materialism, and racism, xenophobia in all of its forms that includes any kind of racism as you know against black people, brown people, yellow people, anybody, Arabs, Muslims, Jews, Palestinians, Kashmirians, Tibetans and so forth. So that there's no doubt that the my dear brother Bernie stands shoulders above any of the other candidates running in the Democratic primary when it comes to that Martin Luther King-like standards or criteria.

Love of the absolute engenders a predilection for self-destruction. Hence the passion for monasteries and brothels. Cells and women, in both cases. Weariness with life fares well in the shadow of whores and saintly women.

The most dangerous madmen are those created by religion, and ... people whose aim is to disrupt society always know how to make good use of them on occasion.

Without risks or prizes for the darer, history would be insipid indeed; and there is a type of military character which every one feels that the race should never cease to breed, for everyone is sensitive to its superiority. The duty is incumbent on mankind, of keeping military character in stock - if keeping them, if not for use, then as ends in themselves and as pure pieces of perfection, - so that Roosevelt's weaklings and mollycoddles may not end by making everything else disappear from the face of nature.

Power acquired by violence is only a usurpation, and lasts only as long as the force of him who commands prevails over that of those who obey.

True science teaches, above all, to doubt and be ignorant.

Learning will be cast into the mire and trodden down under the hoofs of a swinish multitude.

Thou animated torrid-zone.

The Divine Existence (Daseyn),-his Existence, I say, which, according to the distinction already laid down, is his (Manifestation and Revelation of himself-is absolute- only through itself, and of necessity, LIGHT:-namely, y the inward and spiritual Light. This Light, left to itself, separates and divides itself into an infinite multiplicity of individual rays; and in this way, in these individual rays, becomes estranged from itself and its | original source. But this same Light may also again concentrate itself from out this separation, and conceive and comprehend itself as One, as that which it is in itself,-the Existence and Revelation of God; remaining indeed, even in this conception, that which it is in its form,-Light; but yet in this condition, and even by means of this very condition, announcing it-to self as having no real Being in itself, but as only the, Existence and Self-Manifestation of God.

Nature offers nothing that can be called this man's rather than another's ; but, under nature, everything belongs to all - that is, they have authority to claim it for themselves. But, under dominion, where it is by common law determined what belongs to this man, and what to that, he is called just who has a constant will to render to every man his own, but he, unjust who strives, on the contrary, to make his own that which belongs to another.

Since my earliest childhood a barb of sorrow has lodged in my heart. As long as it stays I am ironic - if it is pulled out I shall die.

Love hath so long possessed me for his ownAnd made his lordship so familiar.

The two parties which divide the State, the party of Conservatism and that of Innovation are very old, and have disputed the possession of the world ever since it was made ... Now one, now the other gets the day, and still the fight renews itself as if for the first time, under new names and hot personalities ... Innovation is the salient energy; Conservatism the pause on the last movement.