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"'It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.' - Carl Friedrich Gauss"
"'It is possible that mankind is on the threshold of a golden age; but, if so, it will be necessary first to slay the dragon that guards the door, and this dragon is religion.' - Bertrand Russell"
"'It is preoccupation with possessions, more than anything else, that prevents us from living freely and nobly.' - Bertrand Russell"
"'It is the harmony of the diverse parts, their symmetry, their happy balance; in a word it is all that introduces order, all that gives unity, that permits us to see clearly and to comprehend at once both the ensemble and the details.' - Henri Poincaré"
"'It is far better to foresee even without certainty than not to foresee at all.' - Henri Poincaré"
"'It has been said that man is a rational animal. All my life I have been searching for evidence which could support this.' - Bertrand Russell"
"'Invention consists in avoiding the constructing of useless contraptions and in constructing the useful combinations which are in infinite minority.' - Henri Poincaré"
"'It could be that the methods needed to take the next step may simply be beyond present day mathematics. Perhaps the methods I needed to complete the proof would not be invented for a hundred years.' - Andrew Wiles"
"'It has adopted the geometry most advantageous to the species or, in other words, the most convenient.' - Henri Poincaré"
"'It is therefore not unreasonable to suppose that some portion of the neglect of science in England, may be attributed to the system of education we pursue.' - Charles Babbage"
"'It is through science that we prove, but through intuition that we discover.' - Henri Poincaré"
"'Liberty is the right to do what I like; license, the right to do what you like.' - Bertrand Russell"
"'Life is nothing but a competition to be the criminal rather than the victim.' - Bertrand Russell"
"'Life stands before me like an eternal spring with new and brilliant clothes.' - Carl Friedrich Gauss"
"'Love is something far more than desire for sexual intercourse; it is the principal means of escape from the loneliness which afflicts most men and women throughout the greater part of their lives.' - Bertrand Russell"
"'Let one persuade many, and he becomes confirmed and convinced, and cares for no better evidence.' - Chauncey Wright"
"'Italy, and the spring and first love all together should suffice to make the gloomiest person happy.' - Bertrand Russell"
"'It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation.' - Carl Friedrich Gauss"
"'It seems to be the fate of idealists to obtain what they have struggled for in a form which destroys their ideals.' - Bertrand Russell"
"'It will be readily admitted, that a degree conferred by an university, ought to be a pledge to the public that he who holds it possesses a certain quantity of knowledge.' - Charles Babbage"
"'Indignation is a submission of our thoughts, but not of our desires.' - Bertrand Russell"
"'In turning from the smaller instruments in frequent use to the larger and more important machines, the economy arising from the increase of velocity becomes more striking.' - Charles Babbage"
"'Ideas rose in clouds; I felt them collide until pairs interlocked, so to speak, making a stable combination.' - Henri Poincaré"
"'If God creates a world of particles and waves, dancing in obedience to mathematical and physical laws, who are we to say that he cannot make use of those laws to cover the surface of a small planet with living creatures?' - Martin Gardner"
"'If a dog jumps into your lap, it is because he is fond of you; but if a cat does the same thing, it is because your lap is warmer.' - Alfred North Whitehead"
"'If all our happiness is bound up entirely in our personal circumstances it is difficult not to demand of life more than it has to give.' - Bertrand Russell"
"'I would never die for my beliefs because I might be wrong.' - Bertrand Russell"
"'I was so obsessed by this problem that I was thinking about it all the time - when I woke up in the morning, when I went to sleep at night - and that went on for eight years.' - Andrew Wiles"
"'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.' - Bertrand Russell"
"'I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about.' - Andrew Wiles"
"'I understood that the will could not be improved before the mind had been enlightened.' - Johann Heinrich Lambert"
"'If any philosopher had been asked for a definition of infinity, he might have produced some unintelligible rigmarole, but he would certainly not have been able to give a definition that had any meaning at all.' - Bertrand Russell"
"'If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living.' - Henri Poincaré"
"'In mathematics the art of proposing a question must be held of higher value than solving it.' - Georg Cantor"
"'In mathematics we have long since drawn the rein, and given over a hopeless race.' - Charles Babbage"
"'In the old days when people invented a new function they had something useful in mind.' - Henri Poincaré"
"'In the revolt against idealism, the ambiguities of the word experience have been perceived, with the result that realists have more and more avoided the word.' - Bertrand Russell"
"'In England, the profession of the law is that which seems to hold out the strongest attraction to talent, from the circumstance, that in it ability, coupled with exertion, even though unaided by patronage, cannot fail of obtaining reward.' - Charles Babbage"
"'If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation of the same universe at a succeeding moment.' - Henri Poincaré"
"'If one looks at the different problems of the integral calculus which arise naturally when one wishes to go deep into the different parts of physics, it is impossible not to be struck by the analogies existing.' - Henri Poincaré"
"'If that enabled us to predict the succeeding situation with the same approximation, that is all we require, and we should say that the phenomenon had been predicted, that it is governed by the laws.' - Henri Poincaré"
"'If there were in the world today any large number of people who desired their own happiness more than they desired the unhappiness of others, we could have a paradise in a few years.' - Bertrand Russell"
"'Machines are worshipped because they are beautiful and valued because they confer power; they are hated because they are hideous and loathed because they impose slavery.' - Bertrand Russell"
"'Madam, I have come from a country where people are hanged if they talk.' - Leonhard Euler"
"'The laws of nature are but the mathematical thoughts of God.' - Euclid of Alexandria"
"'The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic.' - Carl Friedrich Gauss"
"'The questions of philosophy proper are human desires and fears and aspirations - human emotions - taking an intellectual form.' - Chauncey Wright"
"'There is still a difference between something and nothing, but it is purely geometrical and there is nothing behind the geometry.' - Martin Gardner"
"'The first object of my endeavours was the means to become perfect and happy.' - Johann Heinrich Lambert"
"'The essence of mathematics lies in its freedom.' - Georg Cantor"
"'The accumulation of skill and science which has been directed to diminish the difficulty of producing manufactured goods, has not been beneficial to that country alone in which it is concentrated; distant kingdoms have participated in its advantages.' - Charles Babbage"
"'The difference between a tool and a machine is not capable of very precise distinction; nor is it necessary, in a popular explanation of those terms, to limit very strictly their acceptation.' - Charles Babbage"
"'The enchanting charms of this sublime science reveal only to those who have the courage to go deeply into it.' - Carl Friedrich Gauss"
"'To praise it would amount to praising myself. For the entire content of the work... coincides almost exactly with my own meditations which have occupied my mind for the past thirty or thirty-five years.' - Carl Friedrich Gauss"
"'To such idle talk it might further be added: that whenever a certain exclusive occupation is coupled with specific shortcomings, it is likewise almost certainly divorced from certain other shortcomings.' - Carl Friedrich Gauss"
"'When a philosopher says something that is true then it is trivial. When he says something that is not trivial then it is false.' - Carl Friedrich Gauss"
"'When you do a lot of acting your entire life, you see the entire set from one point of view. To have a chance to step back and pull it all together is really exciting. You want to do it all; you want to have a hand in everything.' - Danica McKellar"
"'You know that I write slowly. This is chiefly because I am never satisfied until I have said as much as possible in a few words, and writing briefly takes far more time than writing at length.' - Carl Friedrich Gauss"
"'Your Highness, I have no need of this hypothesis.' - Pierre-Simon Laplace"
"'When I have clarified and exhausted a subject, then I turn away from it, in order to go into darkness again.' - Carl Friedrich Gauss"
"'What this country needs is a good five-cent nickel.' - Frank Adams"
"'To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be.' - Leonhard Euler"
"'We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe its properties a priori.' - Carl Friedrich Gauss"
"'We receive the truths of science by compulsion. Nothing but ignorance is able to resist them.' - Chauncey Wright"
"'The accidental causes of science are only accidents relatively to the intelligence of a man.' - Chauncey Wright"
"'That the state of knowledge in any country will exert a directive influence on the general system of instruction adopted in it, is a principle too obvious to require investigation.' - Charles Babbage"
"'Marriage is for women the commonest mode of livelihood, and the total amount of undesired sex endured by women is probably greater in marriage than in prostitution.' - Bertrand Russell"
"'Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate.' - Leonhard Euler"
"'Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.' - Bertrand Russell"
"'Mathematics takes us into the region of absolute necessity, to which not only the actual word, but every possible word, must conform.' - Bertrand Russell"
"'Many people would sooner die than think; in fact, they do so.' - Bertrand Russell"
"'Many people when they fall in love look for a little haven of refuge from the world, where they can be sure of being admired when they are not admirable, and praised when they are not praiseworthy.' - Bertrand Russell"
"'Man is a credulous animal, and must believe something; in the absence of good grounds for belief, he will be satisfied with bad ones.' - Bertrand Russell"
"'Man needs, for his happiness, not only the enjoyment of this or that, but hope and enterprise and change.' - Bertrand Russell"
"'Many a man will have the courage to die gallantly, but will not have the courage to say, or even to think, that the cause for which he is asked to die is an unworthy one.' - Bertrand Russell"
"'Men are born ignorant, not stupid. They are made stupid by education.' - Bertrand Russell"
"'Men who are unhappy, like men who sleep badly, are always proud of the fact.' - Bertrand Russell"
"'Such evidence is not the only kind which produces belief; though positivism maintains that it is the only kind which ought to produce so high a degree of confidence as all minds have or can be made to have through their agreements.' - Chauncey Wright"
"'Telegraphs are machines for conveying information over extensive lines with great rapidity.' - Charles Babbage"
"'That science has long been neglected and declining in England, is not an opinion originating with me, but is shared by many, and has been expressed by higher authority than mine.' - Charles Babbage"
"'Some kinds of nails, such as those used for defending the soles of coarse shoes, called hobnails, require a particular form of the head, which is made by the stroke of a die.' - Charles Babbage"
"'Perhaps the methods I needed to complete the proof would not be invented for a hundred years. So even if I was on the right track, I could be living in the wrong century.' - Andrew Wiles"
"'Much that passes as idealism is disguised hatred or disguised love of power.' - Bertrand Russell"
"'Natural Selection never made it come to pass, as a habit of nature, that an unsupported stone should move downwards rather than upwards. It applies to no part of inorganic nature, and is very limited even in the phenomena of organic life.' - Chauncey Wright"
"'Perhaps it would be better for science, that all criticism should be avowed.' - Charles Babbage"
"'I remain convinced that obstinate addiction to ordinary language in our private thoughts is one of the main obstacles to progress in philosophy.' - Bertrand Russell"
"'I really believed that I was on the right track, but that did not mean that I would necessarily reach my goal.' - Andrew Wiles"
"'Aristotle could have avoided the mistake of thinking that women have fewer teeth than men, by the simple device of asking Mrs. Aristotle to keep her mouth open while he counted.' - Bertrand Russell"
"'Art attracts us only by what it reveals of our most secret self.' - Alfred North Whitehead"
"'Art flourishes where there is a sense of adventure.' - Alfred North Whitehead"
"'Art is the imposing of a pattern on experience, and our aesthetic enjoyment is recognition of the pattern.' - Alfred North Whitehead"
"'Another mode of accumulating power arises from lifting a weight and then allowing it to fall.' - Charles Babbage"
"'And we owe science to the combined energies of individual men of genius, rather than to any tendency to progress inherent in civilization.' - Chauncey Wright"
"'Always try the problem that matters most to you.' - Andrew Wiles"
"'An enormous part of our mature experience cannot not be expressed in words.' - Alfred North Whitehead"
"'An optimist may see a light where there is none, but why must the pessimist always run to blow it out?' - René Descartes"
"'At each increase of knowledge, as well as on the contrivance of every new tool, human labour becomes abridged.' - Charles Babbage"
"'Awareness of universals is called conceiving, and a universal of which we are aware is called a concept.' - Bertrand Russell"
"'Civilization advances by extending the number of important operations which we can perform without thinking of them.' - Alfred North Whitehead"
"'Civilizations can only be understood by those who are civilized.' - Alfred North Whitehead"
"'Collective fear stimulates herd instinct, and tends to produce ferocity toward those who are not regarded as members of the herd.' - Bertrand Russell"
"'Common sense is genius in homespun.' - Alfred North Whitehead"
"'By what criterion... can we distinguish among the numberless effects, that are also causes, and among the causes that may, for aught we can know, be also effects, - how can we distinguish which are the means and which are the ends?' - Chauncey Wright"
"'But you can catch yourself entertaining habitually certain ideas and setting others aside; and that, I think, is where our personal destinies are largely decided.' - Alfred North Whitehead"
"'Boredom is... a vital problem for the moralist, since half the sins of mankind are caused by the fear of it.' - Bertrand Russell"
"'Both in thought and in feeling, even though time be real, to realise the unimportance of time is the gate of wisdom.' - Bertrand Russell"
"'But the best problem I ever found, I found in my local public library.' - Andrew Wiles"
"'Almost everything that distinguishes the modern world from earlier centuries is attributable to science, which achieved its most spectacular triumphs in the seventeenth century.' - Bertrand Russell"
"'Almost all new ideas have a certain aspect of foolishness when they are first produced.' - Alfred North Whitehead"
"'A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.' - Henri Poincaré"
"'A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature.' - Henri Poincaré"
"'A sense of duty is useful in work but offensive in personal relations. People wish to be liked, not to be endured with patient resignation.' - Bertrand Russell"
"'A set is a Many that allows itself to be thought of as a One.' - Georg Cantor"
"'A process which led from the amoeba to man appeared to the philosophers to be obviously a progress though whether the amoeba would agree with this opinion is not known.' - Bertrand Russell"
"'A powerful attraction exists, therefore, to the promotion of a study and of duties of all others engrossing the time most completely, and which is less benefited than most others by any acquaintance with science.' - Charles Babbage"
"'A hallucination is a fact, not an error; what is erroneous is a judgment based upon it.' - Bertrand Russell"
"'A happy life must be to a great extent a quiet life, for it is only in an atmosphere of quiet that true joy dare live.' - Bertrand Russell"
"'A life without adventure is likely to be unsatisfying, but a life in which adventure is allowed to take whatever form it will is sure to be short.' - Bertrand Russell"
"'A small error in the former will produce an enormous error in the latter.' - Henri Poincaré"
"'A state is better governed which has few laws, and those laws strictly observed.' - René Descartes"
"'Advocates of capitalism are very apt to appeal to the sacred principles of liberty, which are embodied in one maxim: The fortunate must not be restrained in the exercise of tyranny over the unfortunate.' - Bertrand Russell"
"'Against my will, in the course of my travels, the belief that everything worth knowing was known at Cambridge gradually wore off. In this respect my travels were very useful to me.' - Bertrand Russell"
"'All movements go too far.' - Bertrand Russell"
"'Admiration of the proletariat, like that of dams, power stations, and aeroplanes, is part of the ideology of the machine age.' - Bertrand Russell"
"'Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves, has no objective existence.' - Henri Poincaré"
"'A tool is usually more simple than a machine; it is generally used with the hand, whilst a machine is frequently moved by animal or steam power.' - Charles Babbage"
"'A truer image of the world, I think, is obtained by picturing things as entering into the stream of time from an eternal world outside, than from a view which regards time as the devouring tyrant of all that is.' - Bertrand Russell"
"'A very small cause which escapes our notice determines a considerable effect that we cannot fail to see, and then we say that the effect is due to chance.' - Henri Poincaré"
"'Common sense is the most fairly distributed thing in the world, for each one thinks he is so well-endowed with it that even those who are hardest to satisfy in all other matters are not in the habit of desiring more of it than they already have.' - René Descartes"
"'Conventional people are roused to fury by departure from convention, largely because they regard such departure as a criticism of themselves.' - Bertrand Russell"
"'Hypotheses are what we lack the least.' - Henri Poincaré"
"'I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intellect.' - Carl Friedrich Gauss"
"'I am inclined to attach some importance to the new system of manufacturing; and venture to throw it out with the hope of its receiving a full discussion among those who are most interestedin the subject.' - Charles Babbage"
"'I am undecided whether or not the Milky Way is but one of countless others all of which form an entire system. Perhaps the light from these infinitely distant galaxies is so faint that we cannot see them.' - Johann Heinrich Lambert"
"'Human life is driven forward by its dim apprehension of notions too general for its existing language.' - Alfred North Whitehead"
"'How is an error possible in mathematics?' - Henri Poincaré"
"'Further, the dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated.' - Carl Friedrich Gauss"
"'Geometry is not true, it is advantageous.' - Henri Poincaré"
"'God does arithmetic.' - Carl Friedrich Gauss"
"'I believe in using words, not fists. I believe in my outrage knowing people are living in boxes on the street. I believe in honesty. I believe in a good time. I believe in good food. I believe in sex.' - Bertrand Russell"
"'I bought some books in order to learn the first principles of philosophy.' - Johann Heinrich Lambert"
"'I hope that seeing the excitement of solving this problem will make young mathematicians realize that there are lots and lots of other problems in mathematics which are going to be just as challenging in the future.' - Andrew Wiles"
"'I loved doing problems in school.' - Andrew Wiles"
"'I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof = 0, and it is demanded for proof that every doubt becomes impossible.' - Carl Friedrich Gauss"
"'I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers.' - Georg Cantor"
"'I have suffered a great deal from writers who have quoted this or that sentence of mine either out of its context or in juxtaposition to some incongruous matter which quite distorted my meaning, or destroyed it altogether.' - Alfred North Whitehead"
"'I have had my results for a long time: but I do not yet know how I am to arrive at them.' - Carl Friedrich Gauss"
"'I do not pretend to start with precise questions. I do not think you can start with anything precise. You have to achieve such precision as you can, as you go along.' - Bertrand Russell"
"'I grew up in Cambridge in England, and my love of mathematics dates from those early childhood days.' - Andrew Wiles"
"'I had this rare privilege of being able to pursue in my adult life, what had been my childhood dream.' - Andrew Wiles"
"'Fundamental progress has to do with the reinterpretation of basic ideas.' - Alfred North Whitehead"
"'Freedom of opinion can only exist when the government thinks itself secure.' - Bertrand Russell"
"'Errors using inadequate data are much less than those using no data at all.' - Charles Babbage"
"'Ethics is in origin the art of recommending to others the sacrifices required for cooperation with oneself.' - Bertrand Russell"
"'Every philosophical problem, when it is subjected to the necessary analysis and justification, is found either to be not really philosophical at all, or else to be, in the sense in which we are using the word, logical.' - Bertrand Russell"
"'Every philosophy is tinged with the coloring of some secret imaginative background, which never emerges explicitly into its train of reasoning.' - Alfred North Whitehead"
"'Each problem that I solved became a rule, which served afterwards to solve other problems.' - René Descartes"
"'Drunkenness is temporary suicide.' - Bertrand Russell"
"'Divide each difficulty into as many parts as is feasible and necessary to resolve it.' - René Descartes"
"'Do not fear to be eccentric in opinion, for every opinion now accepted was once eccentric.' - Bertrand Russell"
"'Dogmatism and skepticism are both, in a sense, absolute philosophies; one is certain of knowing, the other of not knowing. What philosophy should dissipate is certainty, whether of knowledge or ignorance.' - Bertrand Russell"
"'Everything of importance has been said before by somebody who did not discover it.' - Alfred North Whitehead"
"'Extreme hopes are born from extreme misery.' - Bertrand Russell"
"'For since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in the universe in which some rule of maximum or minimum does not appear.' - Leonhard Euler"
"'Freedom comes only to those who no longer ask of life that it shall yield them any of those personal goods that are subject to the mutations of time.' - Bertrand Russell"
"'Freedom in general may be defined as the absence of obstacles to the realization of desires.' - Bertrand Russell"
"'Fools act on imagination without knowledge, pedants act on knowledge without imagination.' - Alfred North Whitehead"
"'Fermat said he had a proof.' - Andrew Wiles"
"'Facts do not speak.' - Henri Poincaré"
"'Familiar things happen, and mankind does not bother about them. It requires a very unusual mind to undertake the analysis of the obvious.' - Alfred North Whitehead"
"'Fear is the main source of superstition, and one of the main sources of cruelty. To conquer fear is the beginning of wisdom.' - Bertrand Russell"
"'A god whose creation is so imperfect that he must be continually adjusting it to make it work properly seems to me a god of relatively low order, hardly worthy of any worship.' - Martin Gardner"
List some famous things said or written by mathematician, a person with an extensive knowledge of mathematics, a field that has been informally defined as being concerned with quantity, structure, space, and changes
"But you can catch yourself entertaining habitually certain ideas and setting others aside; and that, I think, is where our personal destinies are largely decided." is a quote by a mathematician
"But you can catch yourself entertaining habitually certain ideas and setting others aside; and that, I think, is where our personal destinies are largely decided." is a quote by Alfred North Whitehead
"Civilization advances by extending the number of important operations which we can perform without thinking of them." is a quote by Alfred North Whitehead
"Every philosophy is tinged with the coloring of some secret imaginative background, which never emerges explicitly into its train of reasoning." is a quote by a mathematician
"Every philosophy is tinged with the coloring of some secret imaginative background, which never emerges explicitly into its train of reasoning." is a quote by Alfred North Whitehead
"Familiar things happen, and mankind does not bother about them. It requires a very unusual mind to undertake the analysis of the obvious." is a quote by a mathematician
"Familiar things happen, and mankind does not bother about them. It requires a very unusual mind to undertake the analysis of the obvious." is a quote by Alfred North Whitehead
"I have suffered a great deal from writers who have quoted this or that sentence of mine either out of its context or in juxtaposition to some incongruous matter which quite distorted my meaning, or destroyed it altogether." is a quote by a mathematician
"I have suffered a great deal from writers who have quoted this or that sentence of mine either out of its context or in juxtaposition to some incongruous matter which quite distorted my meaning, or destroyed it altogether." is a quote by Alfred North Whitehead
"If a dog jumps into your lap, it is because he is fond of you; but if a cat does the same thing, it is because your lap is warmer." is a quote by a mathematician
"If a dog jumps into your lap, it is because he is fond of you; but if a cat does the same thing, it is because your lap is warmer." is a quote by Alfred North Whitehead
"I hope that seeing the excitement of solving this problem will make young mathematicians realize that there are lots and lots of other problems in mathematics which are going to be just as challenging in the future." is a quote by a mathematician
"I hope that seeing the excitement of solving this problem will make young mathematicians realize that there are lots and lots of other problems in mathematics which are going to be just as challenging in the future." is a quote by Andrew Wiles
"I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about." is a quote by a mathematician
"I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about." is a quote by Andrew Wiles
"I was so obsessed by this problem that I was thinking about it all the time - when I woke up in the morning, when I went to sleep at night - and that went on for eight years." is a quote by a mathematician
"I was so obsessed by this problem that I was thinking about it all the time - when I woke up in the morning, when I went to sleep at night - and that went on for eight years." is a quote by Andrew Wiles
"It could be that the methods needed to take the next step may simply be beyond present day mathematics. Perhaps the methods I needed to complete the proof would not be invented for a hundred years." is a quote by a mathematician
"It could be that the methods needed to take the next step may simply be beyond present day mathematics. Perhaps the methods I needed to complete the proof would not be invented for a hundred years." is a quote by Andrew Wiles
"Perhaps the methods I needed to complete the proof would not be invented for a hundred years. So even if I was on the right track, I could be living in the wrong century." is a quote by a mathematician
"Perhaps the methods I needed to complete the proof would not be invented for a hundred years. So even if I was on the right track, I could be living in the wrong century." is a quote by Andrew Wiles
"Further, the dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated." is a quote by a mathematician
"Further, the dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated." is a quote by Carl Friedrich Gauss
"I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intellect." is a quote by a mathematician
"I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intellect." is a quote by Carl Friedrich Gauss
"I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof = 0, and it is demanded for proof that every doubt becomes impossible." is a quote by a mathematician
"I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof = 0, and it is demanded for proof that every doubt becomes impossible." is a quote by Carl Friedrich Gauss
"It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment." is a quote by a mathematician
"It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment." is a quote by Carl Friedrich Gauss
"It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation." is a quote by a mathematician
"It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation." is a quote by Carl Friedrich Gauss
"The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic." is a quote by a mathematician
"The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic." is a quote by Carl Friedrich Gauss
"To praise it would amount to praising myself. For the entire content of the work... coincides almost exactly with my own meditations which have occupied my mind for the past thirty or thirty-five years." is a quote by a mathematician
"To praise it would amount to praising myself. For the entire content of the work... coincides almost exactly with my own meditations which have occupied my mind for the past thirty or thirty-five years." is a quote by Carl Friedrich Gauss
"To such idle talk it might further be added: that whenever a certain exclusive occupation is coupled with specific shortcomings, it is likewise almost certainly divorced from certain other shortcomings." is a quote by a mathematician
"To such idle talk it might further be added: that whenever a certain exclusive occupation is coupled with specific shortcomings, it is likewise almost certainly divorced from certain other shortcomings." is a quote by Carl Friedrich Gauss
"We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe its properties a priori." is a quote by a mathematician
"We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe its properties a priori." is a quote by Carl Friedrich Gauss
"When a philosopher says something that is true then it is trivial. When he says something that is not trivial then it is false." is a quote by a mathematician
"When a philosopher says something that is true then it is trivial. When he says something that is not trivial then it is false." is a quote by Carl Friedrich Gauss
"You know that I write slowly. This is chiefly because I am never satisfied until I have said as much as possible in a few words, and writing briefly takes far more time than writing at length." is a quote by a mathematician
"You know that I write slowly. This is chiefly because I am never satisfied until I have said as much as possible in a few words, and writing briefly takes far more time than writing at length." is a quote by Carl Friedrich Gauss
"A powerful attraction exists, therefore, to the promotion of a study and of duties of all others engrossing the time most completely, and which is less benefited than most others by any acquaintance with science." is a quote by a mathematician
"A powerful attraction exists, therefore, to the promotion of a study and of duties of all others engrossing the time most completely, and which is less benefited than most others by any acquaintance with science." is a quote by Charles Babbage
"A tool is usually more simple than a machine; it is generally used with the hand, whilst a machine is frequently moved by animal or steam power." is a quote by a mathematician
"A tool is usually more simple than a machine; it is generally used with the hand, whilst a machine is frequently moved by animal or steam power." is a quote by Charles Babbage
"I am inclined to attach some importance to the new system of manufacturing; and venture to throw it out with the hope of its receiving a full discussion among those who are most interestedin the subject." is a quote by a mathematician
"I am inclined to attach some importance to the new system of manufacturing; and venture to throw it out with the hope of its receiving a full discussion among those who are most interestedin the subject." is a quote by Charles Babbage
"In England, the profession of the law is that which seems to hold out the strongest attraction to talent, from the circumstance, that in it ability, coupled with exertion, even though unaided by patronage, cannot fail of obtaining reward." is a quote by a mathematician
"In England, the profession of the law is that which seems to hold out the strongest attraction to talent, from the circumstance, that in it ability, coupled with exertion, even though unaided by patronage, cannot fail of obtaining reward." is a quote by Charles Babbage
"In turning from the smaller instruments in frequent use to the larger and more important machines, the economy arising from the increase of velocity becomes more striking." is a quote by a mathematician
"In turning from the smaller instruments in frequent use to the larger and more important machines, the economy arising from the increase of velocity becomes more striking." is a quote by Charles Babbage
"It is therefore not unreasonable to suppose that some portion of the neglect of science in England, may be attributed to the system of education we pursue." is a quote by a mathematician
"It is therefore not unreasonable to suppose that some portion of the neglect of science in England, may be attributed to the system of education we pursue." is a quote by Charles Babbage
"It will be readily admitted, that a degree conferred by an university, ought to be a pledge to the public that he who holds it possesses a certain quantity of knowledge." is a quote by a mathematician
"It will be readily admitted, that a degree conferred by an university, ought to be a pledge to the public that he who holds it possesses a certain quantity of knowledge." is a quote by Charles Babbage
"Some kinds of nails, such as those used for defending the soles of coarse shoes, called hobnails, require a particular form of the head, which is made by the stroke of a die." is a quote by a mathematician
"Some kinds of nails, such as those used for defending the soles of coarse shoes, called hobnails, require a particular form of the head, which is made by the stroke of a die." is a quote by Charles Babbage
"That science has long been neglected and declining in England, is not an opinion originating with me, but is shared by many, and has been expressed by higher authority than mine." is a quote by a mathematician
"That science has long been neglected and declining in England, is not an opinion originating with me, but is shared by many, and has been expressed by higher authority than mine." is a quote by Charles Babbage
"That the state of knowledge in any country will exert a directive influence on the general system of instruction adopted in it, is a principle too obvious to require investigation." is a quote by a mathematician
"That the state of knowledge in any country will exert a directive influence on the general system of instruction adopted in it, is a principle too obvious to require investigation." is a quote by Charles Babbage
"The accumulation of skill and science which has been directed to diminish the difficulty of producing manufactured goods, has not been beneficial to that country alone in which it is concentrated; distant kingdoms have participated in its advantages." is a quote by a mathematician
"The accumulation of skill and science which has been directed to diminish the difficulty of producing manufactured goods, has not been beneficial to that country alone in which it is concentrated; distant kingdoms have participated in its advantages." is a quote by Charles Babbage
"The difference between a tool and a machine is not capable of very precise distinction; nor is it necessary, in a popular explanation of those terms, to limit very strictly their acceptation." is a quote by a mathematician
"The difference between a tool and a machine is not capable of very precise distinction; nor is it necessary, in a popular explanation of those terms, to limit very strictly their acceptation." is a quote by Charles Babbage
"I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers." is a quote by a mathematician
"I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers." is a quote by Georg Cantor
"A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations." is a quote by a mathematician
"A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations." is a quote by Henri Poincaré
"A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature." is a quote by a mathematician
"A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature." is a quote by Henri Poincaré
"A very small cause which escapes our notice determines a considerable effect that we cannot fail to see, and then we say that the effect is due to chance." is a quote by a mathematician
"A very small cause which escapes our notice determines a considerable effect that we cannot fail to see, and then we say that the effect is due to chance." is a quote by Henri Poincaré
"Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves, has no objective existence." is a quote by a mathematician
"Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves, has no objective existence." is a quote by Henri Poincaré
"If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living." is a quote by a mathematician
"If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living." is a quote by Henri Poincaré
"If one looks at the different problems of the integral calculus which arise naturally when one wishes to go deep into the different parts of physics, it is impossible not to be struck by the analogies existing." is a quote by a mathematician
"If one looks at the different problems of the integral calculus which arise naturally when one wishes to go deep into the different parts of physics, it is impossible not to be struck by the analogies existing." is a quote by Henri Poincaré
"If that enabled us to predict the succeeding situation with the same approximation, that is all we require, and we should say that the phenomenon had been predicted, that it is governed by the laws." is a quote by a mathematician
"If that enabled us to predict the succeeding situation with the same approximation, that is all we require, and we should say that the phenomenon had been predicted, that it is governed by the laws." is a quote by Henri Poincaré
"If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation of the same universe at a succeeding moment." is a quote by a mathematician
"If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation of the same universe at a succeeding moment." is a quote by Henri Poincaré
"Invention consists in avoiding the constructing of useless contraptions and in constructing the useful combinations which are in infinite minority." is a quote by a mathematician
"Invention consists in avoiding the constructing of useless contraptions and in constructing the useful combinations which are in infinite minority." is a quote by Henri Poincaré
"It is the harmony of the diverse parts, their symmetry, their happy balance; in a word it is all that introduces order, all that gives unity, that permits us to see clearly and to comprehend at once both the ensemble and the details." is a quote by a mathematician
"It is the harmony of the diverse parts, their symmetry, their happy balance; in a word it is all that introduces order, all that gives unity, that permits us to see clearly and to comprehend at once both the ensemble and the details." is a quote by Henri Poincaré
"I am undecided whether or not the Milky Way is but one of countless others all of which form an entire system. Perhaps the light from these infinitely distant galaxies is so faint that we cannot see them." is a quote by a mathematician
"I am undecided whether or not the Milky Way is but one of countless others all of which form an entire system. Perhaps the light from these infinitely distant galaxies is so faint that we cannot see them." is a quote by Johann Heinrich Lambert
"A god whose creation is so imperfect that he must be continually adjusting it to make it work properly seems to me a god of relatively low order, hardly worthy of any worship." is a quote by a mathematician
"A god whose creation is so imperfect that he must be continually adjusting it to make it work properly seems to me a god of relatively low order, hardly worthy of any worship." is a quote by Martin Gardner
"If God creates a world of particles and waves, dancing in obedience to mathematical and physical laws, who are we to say that he cannot make use of those laws to cover the surface of a small planet with living creatures?" is a quote by a mathematician
"If God creates a world of particles and waves, dancing in obedience to mathematical and physical laws, who are we to say that he cannot make use of those laws to cover the surface of a small planet with living creatures?" is a quote by Martin Gardner
"There is still a difference between something and nothing, but it is purely geometrical and there is nothing behind the geometry." is a quote by a mathematician
"There is still a difference between something and nothing, but it is purely geometrical and there is nothing behind the geometry." is a quote by Martin Gardner
"Common sense is the most fairly distributed thing in the world, for each one thinks he is so well-endowed with it that even those who are hardest to satisfy in all other matters are not in the habit of desiring more of it than they already have." is a quote by a mathematician
"Common sense is the most fairly distributed thing in the world, for each one thinks he is so well-endowed with it that even those who are hardest to satisfy in all other matters are not in the habit of desiring more of it than they already have." is a quote by René Descartes
"When you do a lot of acting your entire life, you see the entire set from one point of view. To have a chance to step back and pull it all together is really exciting. You want to do it all; you want to have a hand in everything." is a quote by Danica McKellar
"For since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in the universe in which some rule of maximum or minimum does not appear." is a quote by Leonhard Euler
"Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate." is a quote by Leonhard Euler
"To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be." is a quote by Leonhard Euler
"And we owe science to the combined energies of individual men of genius, rather than to any tendency to progress inherent in civilization." is a quote by Chauncey Wright
"By what criterion... can we distinguish among the numberless effects, that are also causes, and among the causes that may, for aught we can know, be also effects, - how can we distinguish which are the means and which are the ends?" is a quote by Chauncey Wright
"Natural Selection never made it come to pass, as a habit of nature, that an unsupported stone should move downwards rather than upwards. It applies to no part of inorganic nature, and is very limited even in the phenomena of organic life." is a quote by Chauncey Wright
"Such evidence is not the only kind which produces belief; though positivism maintains that it is the only kind which ought to produce so high a degree of confidence as all minds have or can be made to have through their agreements." is a quote by Chauncey Wright
"The questions of philosophy proper are human desires and fears and aspirations - human emotions - taking an intellectual form." is a quote by Chauncey Wright
"A happy life must be to a great extent a quiet life, for it is only in an atmosphere of quiet that true joy dare live." is a quote by Bertrand Russell
"A life without adventure is likely to be unsatisfying, but a life in which adventure is allowed to take whatever form it will is sure to be short." is a quote by Bertrand Russell
"A process which led from the amoeba to man appeared to the philosophers to be obviously a progress though whether the amoeba would agree with this opinion is not known." is a quote by Bertrand Russell
"A sense of duty is useful in work but offensive in personal relations. People wish to be liked, not to be endured with patient resignation." is a quote by Bertrand Russell
"A truer image of the world, I think, is obtained by picturing things as entering into the stream of time from an eternal world outside, than from a view which regards time as the devouring tyrant of all that is." is a quote by Bertrand Russell
"Admiration of the proletariat, like that of dams, power stations, and aeroplanes, is part of the ideology of the machine age." is a quote by Bertrand Russell
"Advocates of capitalism are very apt to appeal to the sacred principles of liberty, which are embodied in one maxim: The fortunate must not be restrained in the exercise of tyranny over the unfortunate." is a quote by Bertrand Russell
"Against my will, in the course of my travels, the belief that everything worth knowing was known at Cambridge gradually wore off. In this respect my travels were very useful to me." is a quote by Bertrand Russell
"Almost everything that distinguishes the modern world from earlier centuries is attributable to science, which achieved its most spectacular triumphs in the seventeenth century." is a quote by Bertrand Russell
"Aristotle could have avoided the mistake of thinking that women have fewer teeth than men, by the simple device of asking Mrs. Aristotle to keep her mouth open while he counted." is a quote by Bertrand Russell
"Collective fear stimulates herd instinct, and tends to produce ferocity toward those who are not regarded as members of the herd." is a quote by Bertrand Russell
"Conventional people are roused to fury by departure from convention, largely because they regard such departure as a criticism of themselves." is a quote by Bertrand Russell
"Dogmatism and skepticism are both, in a sense, absolute philosophies; one is certain of knowing, the other of not knowing. What philosophy should dissipate is certainty, whether of knowledge or ignorance." is a quote by Bertrand Russell
"Every philosophical problem, when it is subjected to the necessary analysis and justification, is found either to be not really philosophical at all, or else to be, in the sense in which we are using the word, logical." is a quote by Bertrand Russell
"Fear is the main source of superstition, and one of the main sources of cruelty. To conquer fear is the beginning of wisdom." is a quote by Bertrand Russell
"Freedom comes only to those who no longer ask of life that it shall yield them any of those personal goods that are subject to the mutations of time." is a quote by Bertrand Russell
"I believe in using words, not fists. I believe in my outrage knowing people are living in boxes on the street. I believe in honesty. I believe in a good time. I believe in good food. I believe in sex." is a quote by Bertrand Russell
"I do not pretend to start with precise questions. I do not think you can start with anything precise. You have to achieve such precision as you can, as you go along." is a quote by Bertrand Russell
"I remain convinced that obstinate addiction to ordinary language in our private thoughts is one of the main obstacles to progress in philosophy." is a quote by Bertrand Russell
"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." is a quote by Bertrand Russell
"If all our happiness is bound up entirely in our personal circumstances it is difficult not to demand of life more than it has to give." is a quote by Bertrand Russell
"If any philosopher had been asked for a definition of infinity, he might have produced some unintelligible rigmarole, but he would certainly not have been able to give a definition that had any meaning at all." is a quote by Bertrand Russell
"If there were in the world today any large number of people who desired their own happiness more than they desired the unhappiness of others, we could have a paradise in a few years." is a quote by Bertrand Russell
"In the revolt against idealism, the ambiguities of the word experience have been perceived, with the result that realists have more and more avoided the word." is a quote by Bertrand Russell
"It has been said that man is a rational animal. All my life I have been searching for evidence which could support this." is a quote by Bertrand Russell
"It is possible that mankind is on the threshold of a golden age; but, if so, it will be necessary first to slay the dragon that guards the door, and this dragon is religion." is a quote by Bertrand Russell
"Love is something far more than desire for sexual intercourse; it is the principal means of escape from the loneliness which afflicts most men and women throughout the greater part of their lives." is a quote by Bertrand Russell
"Machines are worshipped because they are beautiful and valued because they confer power; they are hated because they are hideous and loathed because they impose slavery." is a quote by Bertrand Russell
"Man is a credulous animal, and must believe something; in the absence of good grounds for belief, he will be satisfied with bad ones." is a quote by Bertrand Russell
"Many a man will have the courage to die gallantly, but will not have the courage to say, or even to think, that the cause for which he is asked to die is an unworthy one." is a quote by Bertrand Russell
"Many people when they fall in love look for a little haven of refuge from the world, where they can be sure of being admired when they are not admirable, and praised when they are not praiseworthy." is a quote by Bertrand Russell
"Marriage is for women the commonest mode of livelihood, and the total amount of undesired sex endured by women is probably greater in marriage than in prostitution." is a quote by Bertrand Russell
"Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true." is a quote by Bertrand Russell
"Mathematics takes us into the region of absolute necessity, to which not only the actual word, but every possible word, must conform." is a quote by Bertrand Russell
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