[For equal opportunity and recognition, women in science] must be prepared to work hard for the work’s sake, without thought of what it may bring to them in the way of personal acclaim and emolument. While scientific research is exciting it has its dull and plodding moments. One may delve and delve and analyze and analyze for months, and even years, without seeing anything. Then suddenly, through accumulative observation, the idea comes!”

[It has been ascertained by statistical observation that in engineering enterprises one man is killed for every million francs that is spent on the works.] Supposing you have to build a bridge at an expense of one hundred million francs, you must be prepared for the death of one hundred men. In building the Eiffel Tower, which was a construction costing six million and a half, we only lost four men, thus remaining below the average. In the construction of the Forth Bridge, 55 men were lost in over 45,000,000 francs’ worth of work. That would appear to be a large number according to the general rule, but when the special risks are remembered, this number shows as a very small one.

[On common water.] Its substance reaches everywhere; it touches the past and prepares the future; it moves under the poles and wanders thinly in the heights of air. It can assume forms of exquisite perfection in a snowflake, or strip the living to a single shining bone cast up by the sea.

Primo enim paranda est Historia Naturalis et Experimentalis, suffidens et bona; quod fundamentum rei est: neque enim fingendum, aut excogitandum, sed inveniendum, quid natura faciat aut ferat.
For first of all we must prepare a Natural and Experimental History, sufficient and good; and this is the foundation of all; for we are not to imagine or suppose, but to discover, what nature does or may be made to do.

Armament is no protection against the war but leads to war. Striving for peace and preparing for war are incompatible with each other

At about the age of sixteen, I began to feel uneasy. My confidence in adults began to be shaken. They were not smarter than us kids. They just had fixed ideas and stuck to them even if they disagreed among themselves. They were dragging us along a road to an unknown destination; they had no goal, just something to escape from: nature. … It was better to begin to look for a safer, side track. I began to feel like a prisoner calmly preparing to jump off a train that was on a wrong track.

Confined to its true domain, mathematical reasoning is admirably adapted to perform the universal office of sound logic: to induce in order to deduce, in order to construct. … It contents itself to furnish, in the most favorable domain, a model of clearness, of precision, and consistency, the close contemplation of which is alone able to prepare the mind to render other conceptions also as perfect as their nature permits. Its general reaction, more negative than positive, must consist, above all, in inspiring us everywhere with an invincible aversion for vagueness, inconsistency, and obscurity, which may always be really avoided in any reasoning whatsoever, if we make sufficient effort.

Connected by innumerable ties with abstract science, Physiology is yet in the most intimate relation with humanity; and by teaching us that law and order, and a definite scheme of development, regulate even the strangest and wildest manifestations of individual life, she prepares the student to look for a goal even amidst the erratic wanderings of mankind, and to believe that history offers something more than an entertaining chaos—a journal of a toilsome, tragi-comic march nowither.

I am a firm believer in the theory that you can do or be anything that you wish in this world, within reason, if you are prepared to make the sacrifices, think and work hard enough and long enough.

I entered Gettysburg College intent on preparing for medical school. But my ambition was far from resolute. Every new subject that I encountered in college proved a siren song. I imagined myself an historian, a philosopher, a novelist, rarely a scientist.

I know two people who have found it [the secret of success]. … Getting ready. Getting prepared. There were Edison and Lindbergh,—they both got ready before they started. I had to find that out too. I had to stop for ten years after I had started; I had to stop for ten years and get ready. I made my first car in 1893, but it was 1903 before I had it ready to sell. It is these simple things that young men ought to know, and they are hardest to grasp. Before everything else, get ready.

If the Tincture of the Philosophers is to be used for transmutation, a pound of it must be projected on a thousand pounds of melted Sol [gold]. Then, at length, will a medicine have been prepared for transmuting the leprous moisture of the metals. This work is a wonderful one in the light of nature, namely, that by the Magistery, or the operation of the Spagyrist, a metal, which formerly existed, should perish, and another be produced. This fact has rendered that same Aristotle, with his ill-founded philosophy, fatuous.

In preparing for battle I have always found that plans are useless, but planning is indispensable.

It is an unfortunate fact that we can secure peace only by preparing for war.

It is not surprising, in view of the polydynamic constitution of the genuinely mathematical mind, that many of the major heros of the science, men like Desargues and Pascal, Descartes and Leibnitz, Newton, Gauss and Bolzano, Helmholtz and Clifford, Riemann and Salmon and Plücker and Poincaré, have attained to high distinction in other fields not only of science but of philosophy and letters too. And when we reflect that the very greatest mathematical achievements have been due, not alone to the peering, microscopic, histologic vision of men like Weierstrass, illuminating the hidden recesses, the minute and intimate structure of logical reality, but to the larger vision also of men like Klein who survey the kingdoms of geometry and analysis for the endless variety of things that flourish there, as the eye of Darwin ranged over the flora and fauna of the world, or as a commercial monarch contemplates its industry, or as a statesman beholds an empire; when we reflect not only that the Calculus of Probability is a creation of mathematics but that the master mathematician is constantly required to exercise judgment—judgment, that is, in matters not admitting of certainty—balancing probabilities not yet reduced nor even reducible perhaps to calculation; when we reflect that he is called upon to exercise a function analogous to that of the comparative anatomist like Cuvier, comparing theories and doctrines of every degree of similarity and dissimilarity of structure; when, finally, we reflect that he seldom deals with a single idea at a tune, but is for the most part engaged in wielding organized hosts of them, as a general wields at once the division of an army or as a great civil administrator directs from his central office diverse and scattered but related groups of interests and operations; then, I say, the current opinion that devotion to mathematics unfits the devotee for practical affairs should be known for false on a priori grounds. And one should be thus prepared to find that as a fact Gaspard Monge, creator of descriptive geometry, author of the classic Applications de l’analyse à la géométrie; Lazare Carnot, author of the celebrated works, Géométrie de position, and Réflections sur la Métaphysique du Calcul infinitesimal; Fourier, immortal creator of the Théorie analytique de la chaleur; Arago, rightful inheritor of Monge’s chair of geometry; Poncelet, creator of pure projective geometry; one should not be surprised, I say, to find that these and other mathematicians in a land sagacious enough to invoke their aid, rendered, alike in peace and in war, eminent public service.

It seemed to be a necessary ritual that he should prepare himself for sleep by meditating under the solemnity of the night sky… a mysterious transaction between the infinity of the soul and the infinity of the universe.

Mathematical discoveries, small or great … are never born of spontaneous generation. They always presuppose a soil seeded with preliminary knowledge and well prepared by labour, both conscious and subconscious.

Mathematics … above all other subjects, makes the student lust after knowledge, fills him, as it were, with a longing to fathom the cause of things and to employ his own powers independently; it collects his mental forces and concentrates them on a single point and thus awakens the spirit of individual inquiry, self-confidence and the joy of doing; it fascinates because of the view-points which it offers and creates certainty and assurance, owing to the universal validity of its methods. Thus, both what he receives and what he himself contributes toward the proper conception and solution of a problem, combine to mature the student and to make him skillful, to lead him away from the surface of things and to exercise him in the perception of their essence. A student thus prepared thirsts after knowledge and is ready for the university and its sciences. Thus it appears, that higher mathematics is the best guide to philosophy and to the philosophic conception of the world (considered as a self-contained whole) and of one’s own being.

Mathematics accomplishes really nothing outside of the realm of magnitude; marvellous, however, is the skill with which it masters magnitude wherever it finds it. We recall at once the network of lines which it has spun about heavens and earth; the system of lines to which azimuth and altitude, declination and right ascension, longitude and latitude are referred; those abscissas and ordinates, tangents and normals, circles of curvature and evolutes; those trigonometric and logarithmic functions which have been prepared in advance and await application. A look at this apparatus is sufficient to show that mathematicians are not magicians, but that everything is accomplished by natural means; one is rather impressed by the multitude of skilful machines, numerous witnesses of a manifold and intensely active industry, admirably fitted for the acquisition of true and lasting treasures.

None of the myriad scientific papers I’d read prepared me for the patience and diligence that go into scientific research. None had prepared me for the acute attention to minutiae that keeps science accurate, and scientific integrity intact. Or for the tedium. … I accepted the idea that finding out you don’t like something can be invaluable.

Not every one of our desires can be immediately gratified. We’ve got to learn to wait patiently for our dreams to come true, especially on the path we’ve chosen. But while we wait, we need to prepare symbolically a place for our hopes and dreams.

Nurses that attend lying-in women ought to have provided, and in order, every thing that may be necessary for the woman, accoucheur, midwife, and child; such as linnen and cloaths, well aired and warm, for the woman and the bed, which she must know how to prepare when there is occasion; together with nutmeg, sugar, spirit of hartshorn, vinegar, Hungary water, white or brown caudle ready made, and a glyster-pipe fitted.

Remember this, the rule for giving an extempore lecture is—let the the mind rest from the subject entirely for an interval preceding the lecture, after the notes are prepared; the thoughts will ferment without your knowing it, and enter into new combinations; but if you keep the mind active upon the subject up to the moment, the subject will not ferment but stupefy.

Science, the partisan of no country, but the beneficent patroness of all, has liberally opened a temple where all may meet. Her influence on the mind, like the sun on the chilled earth, has long been preparing it for higher cultivation and further improvement. The philosopher of one country sees not an enemy in the philosopher of another; he takes his seat in the temple of science, and asks not who sits beside him.

Scientific education is catholic; it embraces the whole field of human learning. No student can master all knowledge in the short years of his academic life, but a young man of ability and industry may reasonably hope to master the outlines of science, obtain a deep insight into the methods of scientific research, and at the same time secure an initiation into some one of the departments of science, in such a manner that he may fully appreciate the multitude of facts upon which scientific conclusions rest, and be prepared to enter the field of scientific research himself and make additions to the sum of human knowledge.

So the pendulum swings, now violently, now slowly; and every institution not only carries within it the seeds of its own dissolution, but prepares the way for its most hated rival.

The attainment of knowledge is the high and exclusive attribute of man, among the numberless myriads of animated beings, inhabitants of the terrestrial globe. On him alone is bestowed, by the bounty of the Creator of the universe, the power and the capacity of acquiring knowledge. Knowledge is the attribute of his nature which at once enables him to improve his condition upon earth, and to prepare him for the enjoyment of a happier existence hereafter.

The experience was more fulfilling than I could have ever imagined. I have a newfound sense of wonder seeing the Earth and stars from such an incredible perspective. Certainly, through my training I was prepared for the technical aspects, but I had no idea that I would be flooded with such amazement and joy after seeing my first sunrise and sunset from space.

The first requirement is loyalty to evidence. The evidence may be sought in unprepared situations after the manner of a great many clinicians and of many social psychologists or in technical, technologically prepared situations or it may be sought in experimentally prepared situations.

The nation that prepares for war will sooner or later have war. We get just anything we prepare for, and we get nothing else. Everything that happens is a sequence: this happened today because you did that yesterday.

The science of alchemy I like very well. I like it not only for the profits it brings in melting metals, in decocting, preparing, extracting, and distilling herbs, roots; I like it also for the sake of the allegory and secret signification, which is exceedingly fine, touching the resurrection of the dead at the last day.

The teaching of elementary mathematics should be conducted so that the way should be prepared for the building upon them of the higher mathematics. The teacher should always bear in mind and look forward to what is to come after. The pupil should not be taught what may be sufficient for the time, but will lead to difficulties in the future. … I think the fault in teaching arithmetic is that of not attending to general principles and teaching instead of particular rules. … I am inclined to attack Teaching of Mathematics on the grounds that it does not dwell sufficiently on a few general axiomatic principles.

The time is coming when man will be so well-versed in the earth’s habits that he will be able to anticipate earthquakes and prepare for them. When this happens, a unity between man and earth will have been achieved, a unity without which a consistent concept of the world is impossible.

The value of history is, indeed, not scientific but moral: by liberalizing the mind, by deepening the sympathies, by fortifying the will, it enables us to control, not society, but ourselves—a much more important thing; it prepares us to live more humanely in the present and to meet rather than to foretell the future.

There are a few honest anti-vivisectionists … I have not met any of them, but I am quite prepared to believe that they exist.

There is always a strong inclination for a body of professionals to oppose an unorthodox view. Such a group has a considerable investment in orthodoxy: they have learned to interpret a large body of data in terms of the old view, and they have prepared lectures and perhaps written books with the old background. To think the whole subject through again when one is no longer young is not easy and involves admitting a partially misspent youth.

We must somehow keep the dreams of space exploration alive, for in the long run they will prove to be of far more importance to the human race than the attainment of material benefits. Like Darwin, we have set sail upon an ocean: the cosmic sea of the Universe. There can be no turning back. To do so could well prove to be a guarantee of extinction. When a nation, or a race or a planet turns its back on the future, to concentrate on the present, it cannot see what lies ahead. It can neither plan nor prepare for the future, and thus discards the vital opportunity for determining its evolutionary heritage and perhaps its survival.

What is this subject, which may be called indifferently either mathematics or logic? Is there any way in which we can define it? Certain characteristics of the subject are clear. To begin with, we do not, in this subject, deal with particular things or particular properties: we deal formally with what can be said about any thing or any property. We are prepared to say that one and one are two, but not that Socrates and Plato are two, because, in our capacity of logicians or pure mathematicians, we have never heard of Socrates or Plato. A world in which there were no such individuals would still be a world in which one and one are two. It is not open to us, as pure mathematicians or logicians, to mention anything at all, because, if we do so we introduce something irrelevant and not formal.

When Cayley had reached his most advanced generalizations he proceeded to establish them directly by some method or other, though he seldom gave the clue by which they had first been obtained: a proceeding which does not tend to make his papers easy reading. …
His literary style is direct, simple and clear. His legal training had an influence, not merely upon his mode of arrangement but also upon his expression; the result is that his papers are severe and present a curious contrast to the luxuriant enthusiasm which pervades so many of Sylvester’s papers. He used to prepare his work for publication as soon as he carried his investigations in any subject far enough for his immediate purpose. … A paper once written out was promptly sent for publication; this practice he maintained throughout life. … The consequence is that he has left few arrears of unfinished or unpublished papers; his work has been given by himself to the world.

When I was … a teenager … like, 14, … the space program was getting started, and I wanted to be an astronaut. I wrote to NASA and I said, “What do I have to do to be prepared to be an astronaut?” And they wrote back and said, “Thank you very much but we’re not taking girls.” … That thankfully changed with Sally Ride and a lot of the other great women astronauts.

With science fiction I think we are preparing ourselves for contact with them, whoever they may be.

Without seeking, truth cannot be known at all. It can neither be declared from pulpits, nor set down in articles, nor in any wise prepared and sold in packages ready for use. Truth must be ground for every man by itself out of its husk, with such help as he can get, indeed, but not without stern labor of his own.

You can prepare yourself for work. The paintings of the great masters, the compositions of great musicians, the sermons of great preachers, the policies of great statesmen, and the campaigns of great generals, do not spring full bloom from barren rock. … If you are a true student you will be more dissatisfied with yourself when you graduate than you are now.

You cannot simultaneously prevent and prepare for war.