Quotes by Mathematicians - Page 15

All human activity is prompted by desire.
Bertrand Russell
Q. Surely it is easier to be objective about other people than about oneself?A. No, it is more difficult. If you become objective to yourself you can see other people objectively, but not before, because before that it will all be coloured by your own views, attitudes, tastes, by what you like and what you dislike. To be objective you must be free from it all. You can become objective to yourself in the state of self-consciousness: this is the first experience of coming into contact with the real object.
P.D. Ouspensky
Q. But it seems to me there are circumstances that simply induce one to have negative emo
P.D. Ouspensky
Many things are mechanical and should remain mechanical. But mechanical thoughts, mechanical feelings—that is what has to be studied and can and should be changed. Mechanical thinking is not worth a penny. You can think about many things mechanically, but you will get nothing from it.
P.D. Ouspensky
Everything 'happens'. People can 'do' nothing. From the time we are born to the time we die things happen, happen, happen, and we think we are doing. This is our normal state in life, and even the smallest possibility to do something comes only through the work, and first only in oneself, not externally.
P.D. Ouspensky
Desire is when you do what you want, will is when you can do what you do not want.
P.D. Ouspensky
Psychology is sometimes called a new science. This is quite wrong. Psychology is, perhaps, the oldest science, and, unfortunately, in its most essential features a forgotten science.
P.D. Ouspensky
An arguing couple spiraling into negativity and teetering on the brink of divorce is actually mathematically equivalent to the beginning of a nuclear war.
Hannah Fry
Happiness, as is evident, depends partly upon external circumstances and partly upon oneself.
Bertrand Russell
So long as there is death there will be sorrow, and so long as there is sorrow it can be no part of the duty of human beings to increase its amount, in spite of the fact that a few rare spirits know how to transmute it.
Bertrand Russell
Why is propaganda so much more successful when it stirs up hatred than when it tries to stir up friendly feeling? The reason is clearly that the human heart as modern civilisation has made it is more prone to hatred than to friendship. And it is prone to hatred because it is dissatisfied, because it feels deply, perhaps even unconsciously, that it has somehow missed the meaning of life, that perhaps others, but not we ourselves, have secured the good things which nature offers man's enjoyment.
Bertrand Russell
Education should aim at destroying free will so thatpupils thus schooled, will be incapable throughoutthe rest of their lives of thinking or acting otherwisethan as their schoolmasters would have wished. . . .Influences of the home are obstructive; and in orderto condition students, verses set to music and repeatedlyintoned are very effective. . . . It is for afuture scientist to make these maxims precise andto discover exactly how much it costs per head tomake children believe that snow is black. When thetechnique has been perfected, every government thathas been in charge of education for more than onegeneration will be able to control its subjects securelywithout the need of armies or policemen.
Bertrand Russell
Those who are most sensitive about "politically incorrect" terminology are not the average black ghetto-dweller, Asian immigrant, abused woman or disabled person, but a minority of activists, many of whom do not even belong to any "oppressed" group but come from privileged strata of society.
Theodore J. Kaczynski
I have lived in the pursuit of a vision, both personal and social. Personal: to care for what is noble, for what is beautiful, for what is gentle; to allow moments of insight to give wisdom at more mundane times. Social: to see in imagination the society that is to be created, where individuals grow freely, and where hate and greed and envy die because there is nothing to nourish them. These things I believe, and the world, for all its horrors, has left me unshaken.
Bertrand Russell
It is the thesis of this book that society can only be understood through a study of the messages and the communication facilities which belong to it; and that in the future development of these messages and communication facilities, messages between man and machines, between machines and man, and between machine and machine, are destined to play an ever-increasing part.
Norbert Wiener
Don't ... depend on current fashion or ... popular opinion.
John F. Nash
In like manner, if I let myself believe anything on insufficient evidence, there may be no great harm done by the mere belief; it may be true after all, or I may never have occasion to exhibit it in outward acts. But I cannot help doing this great wrong towards Man, that I make myself credulous. The danger to society is not merely that it should believe wrong things, though that is great enough; but that it should become credulous, and lose the habit of testing things and inquiring into them; for then it must sink back into savagery.
William Kingdon Clifford
Our society tends to regard as a sickness any mode of thought or behavior that is inconvenient for the system and this is plausible because when an individual doesn't fit into the system it causes pain to the individual as well as problems for the system. Thus the manipulation of an individual to adjust him to the system is seen as a cure for a sickness and therefore as good.
Theodore J. Kaczynski
Imagine a society that subjects people to conditions that make them terribly unhappy then gives them the drugs to take away their unhappiness. Science fiction It is already happening to some extent in our own society. Instead of removing the conditions that make people depressed modern society gives them antidepressant drugs. In effect antidepressants are a means of modifying an individual's internal state in such a way as to enable him to tolerate social conditions that he would otherwise find intolerable.
Theodore J. Kaczynski
One is almost tempted to say... at last I can almost see a bond. But that will never be, for a bond does not really exist at all: it is a most convenient fiction which, as we have seen, is convenient both to experimental and theoretical chemists.
Charles Coulson
If I keep observing the uranium, which means a little more than keeping my eyes on the pot on my desk and involves something akin to surrounding it with a whole system of Geiger counters, I can freeze it in such a way that it stops emitting radiation.Although Turing first suggested the idea as a theoretical construct, it turns out that it is not just mathematical fiction. Experiments in the last decade have demonstrated the real possibility of using observation to inhibit the progress of a quantum system.
Marcus du Sautoy
Then it doesn't matter which way you walk...-so long as I get somewhere.
Lewis Carroll
For I do not believe God means us thus to divide life into half halves - to wear a grave face on Sunday, and to think it out-of-place to even so much as mention Him on a weekday. Do you think he cares to see only kneeling figures, and to hear only tones of prayer - and that He does not also love to see the lambs leaping in the sunlight, and to hear the merry voices of the children as they roll among the hay? Surely their innocent laughter is as sweet in His ears as the grandest anthem that ever rolled up from the 'dim religious light' of some solemn cathedral?
Lewis Carroll
A child develops best when, like a young plant, he is left undisturbed in the same soil. Too much travel, too much variety of impressions, are not good for the young, and cause them as they grow up to become incapable of enduring fruitful monotony.
Bertrand Russell
Both men and women who have children as a rule regulate their lives largely with reference to them, and children cause perfectly ordinary men and women to act unselfishly in certain ways, of which perhaps life insurance is the most definite and measurable.
Bertrand Russell
The affection of parents makes infants feel safe in this dangerous world, and gives them boldness in experimentation and in exploration of their environments.
Bertrand Russell
The heterosexual emotions of young children can find a natural, wholesome and innocent outlet with other children; in this form they are a part of play, and like all play, they afford a preparation for adult activities.
Bertrand Russell
Now, what am I to do with this creature when I get it home?" when it grunted again, so violently, that she looked down into its face in some alarm. This time there could be no mistake about it: it was neither more nor less than a pig, and she felt that it would be quite absurd for her to carry it any further. | So she set the little creature down, and felt quite relieved to see it trot away quietly into the wood. "If it had grown up," she said to herself, "it would have made a dreadfully ugly child: but it makes a rather handsome pig, I think." And she began thinking over other children she knew, who might do very well as pigs, and was just saying to herself, "if one only knew the right way to change them--" when she was a little startled by seeing the Cheshire Cat sitting on a bough of a tree a few yards off.
Lewis Carroll
When you want to teach children to think, you begin by treating them seriously when they are little, giving them responsibilities, talking to them candidly, providing privacy and solitude for them, and making them readers and thinkers of significant thoughts from the beginning. That’s if you want to teach them to think.
Bertrand Russell
Ability and necessity dwell near each other.
Pythagoras
Do not try the parallels in that way: I know that way all along. I have measured that bottomless night, and all the light and all the joy of my life went out there.[Having himself spent a lifetime unsuccessfully trying to prove Euclid's postulate that parallel lines do not meet, Farkas discouraged his son János from any further attempt.]
Farkas Bolyai
If children learn of sex as a relation between their parents to which they owe their own existence, they learn of it in its best form and in connection with its biological purpose.
Bertrand Russell
For the inexperienced, however, it is very difficult to distinguish passionate love from mere sex hunger; especially is this the case with well-brought-up girls, who have been taught that they could not possibly like to kiss a man unless they loved him.
Bertrand Russell
There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.
Nicholas Lobachevsky
... This is a major theme in mathematics: things are what you want them to be. You have endless choices; there is no reality to get in your way.On the other hand, once you have made your choices then your new creations do what they do, whether you like it or not. This is the amazing thing about making imaginary patterns: they talk back!
Paul Lockhart
Sky-bound was the mind, Earth-bound the body rests
Johannes Kepler
We do not content ourselves with the life we have in ourselves and in our own being; we desire to live an imaginary life in the mind of others, and for this purpose we endeavour to shine. We labour unceasingly to adorn and preserve this imaginary existence, and neglect the real. And if we possess calmness, or generosity, or truthfulness, we are eager to make it known, so as to attach these virtues to that imaginary existence. We would rather separate them from ourselves to join them to it; and we would willingly be cowards in order to acquire the reputation of being brave. A great proof of the nothingness of our being, not to be satisfied with the one without the other, and to renounce the one for the other! For he would be infamous who would not die to preserve his honour.
Blaise Pascal
Physics is mathematical not because we know so much about the physical world, but because we know so little; it is only its mathematical properties that we can discover.
Bertrand Russell
Rightness of limitation is essential for growth of reality.Unlimited possibility and abstract creativity can procure nothing. The limitation, and the basis arising from what is already actual, are both of them necessary and interconnected.
Alfred North Whitehead
But without going to such extremes prudence may easily involve the loss of some of the best things in life. The worshipper of Dionysus reacts against prudence. In intoxication, physical or spiritual, he recovers an intensity of feeling which prudence had destroyed; he finds the world full of delight and beauty, and his imagination is suddenly liberated from the prison of every-day preoccupations
Bertrand Russell
What I Have Lived ForThree passions, simple but overwhelmingly strong, have governed my life: the longing for love, the search for knowledge, and unbearable pity for the suffering of mankind. These passions, like great winds, have blown me hither and thither, in a wayward course, over a great ocean of anguish, reaching to the very verge of despair. I have sought love, first, because it brings ecstasy - ecstasy so great that I would often have sacrificed all the rest of life for a few hours of this joy. I have sought it, next, because it relieves loneliness--that terrible loneliness in which one shivering consciousness looks over the rim of the world into the cold unfathomable lifeless abyss. I have sought it finally, because in the union of love I have seen, in a mystic miniature, the prefiguring vision of the heaven that saints and poets have imagined. This is what I sought, and though it might seem too good for human life, this is what--at last--I have found.With equal passion I have sought knowledge. I have wished to understand the hearts of men. I have wished to know why the stars shine. And I have tried to apprehend the Pythagorean power by which number holds sway above the flux. A little of this, but not much, I have achieved. Love and knowledge, so far as they were possible, led upward toward the heavens. But always pity brought me back to earth. Echoes of cries of pain reverberate in my heart. Children in famine, victims tortured by oppressors, helpless old people a burden to their sons, and the whole world of loneliness, poverty, and pain make a mockery of what human life should be. I long to alleviate this evil, but I cannot, and I too suffer. This has been my life. I have found it worth living, and would gladly live it again if the chance were offered me.
Bertrand Russell
In the visible world, the Milky Way is a tiny fragment; within this fragment, the solar system is an infinitesimal speck, and of this speck our planet is a microscopic dot. On this dot, tiny lumps of impure carbon and water, of complicated structure, with somewhat unusual physical and chemical properties, crawl about for a few years, until they are dissolved again into the elements of which they are compounded.
Bertrand Russell
You’ve seen the world, and all you’ve seen is nothing; and everything, as well, that you have said and heard is nothing. You’ve sprinted everywhere between here and the horizon; it is nothing. And all the possessions you’ve treasured up at home are nothing.
Omar Khayyám
You know what the issue is with this world? Everyone wants some magical solution to their problem and everyone refuses to believe in magic.
Lewis Carroll
The fundamental cause of the trouble is that in the modern world the stupid are cocksure while the intelligent are full of doubt.
Bertrand Russell
For every action, there is an equal and opposite reaction.
Isaac Newton
For the young, there is nothing unattainable; a good thing desired with the whole force of a passionate will, and yet impossible, is to them not credible. Yet, by death, by illness, by poverty, or by the voice of duty, we must learn, each one of us, that the world was not made for us, and that, however beautiful may be the things we crave, Fate may nevertheless forbid them. It is the part of courage, when misfortune comes, to bear without regretting the ruin of our hopes, to turn away our thoughts from vain regrets. This degree of submission to power is not only just and right: it is the very gate of wisdom.
Bertrand Russell
Power is the near neighbour of necessity.
Pythagoras
Travelling, whether in the mental or the physical world, is a joy, and it is good to know that, in the mental world at least, there are vast countries still very imperfectly explored
Bertrand Russell
Whenever a man can get hold of numbers, they are invaluable: if correct, they assist in informing his own mind, but they are still more useful in deluding the minds of others. Numbers are the masters of the weak, but the slaves of the strong.
Charles Babbage
The Greeks made Space the subject-matter of a science of supreme simplicity and certainty. Out of it grew, in the mind of classical antiquity, the idea of pure science. Geometry became one of the most powerful expressions of that sovereignty of the intellect that inspired the thought of those times. At a later epoch, when the intellectual despotism of the Church, which had been maintained through the Middle Ages, had crumbled, and a wave of scepticism threatened to sweep away all that had seemed most fixed, those who believed in Truth clung to Geometry as to a rock, and it was the highest ideal of every scientist to carry on his science 'more geometrico.
Hermann Weyl
The infinite distance between the mind & the body is a symbol of the distance that is infinitely more, between the intellect & love, for love is divine.
Blaise Pascal
Our intellect holds the same position in the world of thought as our body occupies in the expanse of nature.
Blaise Pascal
It's only in the mysterious equations of love that any logical reasons can be found.
John Forbes Nash Jr
It is not enough to have a good mind. The main thing is to use it well.
René Descartes
When a child reaches adolescence, there is very apt to be a conflict between parents and child, since the latter considers himself to be by now quite capable of managing his own affairs, while the former are filled with parental solicitude, which is often a disguise for love of power. Parents consider, usually, that the various moral problems which arise in adolescence are peculiarly their province. The opinions they express, however, are so dogmatic that the young seldom confide in them, and usually go their own way in secret.
Bertrand Russell
It is not difficult for an unwise mother quite unintentionally to centre the heterosexual feelings of a young son upon herself, and it is true that, if this is done, the evil consequences pointed out by Freud will probably ensue. This is, however, much less likely to occur if the mother's sexual life is satisfying to her, for in that case she will not look to her child for a type of emotional satisfaction which ought to be sought only from adults. The parental impulse in its purity is an impulse to care for the young, not to demand affection from them, and if a woman is happy in her sexual life she will abstain spontaneously from all improper demands for emotional response from her child.
Bertrand Russell
Perhaps the greatest importance of the family, in these days of contraceptives, is that it preserves the habit of having children.
Bertrand Russell
Knowlege of God without knowledge of man's wretchedness leads to pride. Knowledge of man's wretchedness without knowledge of God leads to despair. Knowledge of Jesus Christ is the middle course, because by it we discover both God and our wretched state.
Blaise Pascal
That is the idea -- that we should all be wicked if we did not hold to the Christian religion. It seems to me that the people who have held to it have been for the most part extremely wicked. You find this curious fact, that the more intense has been the religion of any period and the more profound has been the dogmatic belief, the greater has been the cruelty and the worse has been the state of affairs. In the so-called ages of faith, when men really did believe the Christian religion in all its completeness, there was the Inquisition, with all its tortures; there were millions of unfortunate women burned as witches; and there was every kind of cruelty practiced upon all sorts of people in the name of religion.You find as you look around the world that every single bit of progress in humane feeling, every improvement in the criminal law, every step toward the diminution of war, every step toward better treatment of the colored races, or every mitigation of slavery, every moral progress that there has been in the world, has been consistently opposed by the organized churches of the world. I say quite deliberately that the Christian religion, as organized in its churches, has been and still is the principal enemy of moral progress in the world.You may think that I am going too far when I say that that is still so. I do not think that I am. Take one fact. You will bear with me if I mention it. It is not a pleasant fact, but the churches compel one to mention facts that are not pleasant. Supposing that in this world that we live in today an inexperienced girl is married to a syphilitic man; in that case the Catholic Church says, 'This is an indissoluble sacrament. You must endure celibacy or stay together. And if you stay together, you must not use birth control to prevent the birth of syphilitic children.' Nobody whose natural sympathies have not been warped by dogma, or whose moral nature was not absolutely dead to all sense of suffering, could maintain that it is right and proper that that state of things should continue.That is only an example. There are a great many ways in which, at the present moment, the church, by its insistence upon what it chooses to call morality, inflicts upon all sorts of people undeserved and unnecessary suffering. And of course, as we know, it is in its major part an opponent still of progress and improvement in all the ways that diminish suffering in the world, because it has chosen to label as morality a certain narrow set of rules of conduct which have nothing to do with human happiness; and when you say that this or that ought to be done because it would make for human happiness, they think that has nothing to do with the matter at all. 'What has human happiness to do with morals? The object of morals is not to make people happy.
Bertrand Russell