‘I was reading an article about “Mathematics”. Perfectly pure mathematics. My own knowledge of mathematics stops at “twelve times twelve,” but I enjoyed that article immensely. I didn’t understand a word of it; but facts, or what a man believes to be facts, are always delightful. That mathematical fellow believed in his facts. So do I. Get your facts first, and’—the voice dies away to an almost inaudible drone—’then you can distort ‘em as much as you please.’

Dogbert (advice to Boss): Every credible scientist on earth says your products harm the environment. I recommend paying weasels to write articles casting doubt on the data. Then eat the wrong kind of foods and hope you die before the earth does.

At the present time all property is personal; the man owns his own ponies and other belongings he has personally acquired; the woman owns her horses, dogs, and all the lodge equipments; children own their own articles; and parents do not control the possessions of their children. There is no family property as we use the term. A wife is as independent as the most independent man in our midst. If she chooses to give away or sell all of her property, there is no one to gainsay her.

Generality of points of view and of methods, precision and elegance in presentation, have become, since Lagrange, the common property of all who would lay claim to the rank of scientific mathematicians. And, even if this generality leads at times to abstruseness at the expense of intuition and applicability, so that general theorems are formulated which fail to apply to a single special case, if furthermore precision at times degenerates into a studied brevity which makes it more difficult to read an article than it was to write it; if, finally, elegance of form has well-nigh become in our day the criterion of the worth or worthlessness of a proposition,—yet are these conditions of the highest importance to a wholesome development, in that they keep the scientific material within the limits which are necessary both intrinsically and extrinsically if mathematics is not to spend itself in trivialities or smother in profusion.

I can see him [Sylvester] now, with his white beard and few locks of gray hair, his forehead wrinkled o’er with thoughts, writing rapidly his figures and formulae on the board, sometimes explaining as he wrote, while we, his listeners, caught the reflected sounds from the board. But stop, something is not right, he pauses, his hand goes to his forehead to help his thought, he goes over the work again, emphasizes the leading points, and finally discovers his difficulty. Perhaps it is some error in his figures, perhaps an oversight in the reasoning. Sometimes, however, the difficulty is not elucidated, and then there is not much to the rest of the lecture. But at the next lecture we would hear of some new discovery that was the outcome of that difficulty, and of some article for the Journal, which he had begun. If a text-book had been taken up at the beginning, with the intention of following it, that text-book was most likely doomed to oblivion for the rest of the term, or until the class had been made listeners to every new thought and principle that had sprung from the laboratory of his mind, in consequence of that first difficulty. Other difficulties would soon appear, so that no text-book could last more than half of the term. In this way his class listened to almost all of the work that subsequently appeared in the Journal. It seemed to be the quality of his mind that he must adhere to one subject. He would think about it, talk about it to his class, and finally write about it for the Journal. The merest accident might start him, but once started, every moment, every thought was given to it, and, as much as possible, he read what others had done in the same direction; but this last seemed to be his real point; he could not read without finding difficulties in the way of understanding the author. Thus, often his own work reproduced what had been done by others, and he did not find it out until too late.
A notable example of this is in his theory of cyclotomic functions, which he had reproduced in several foreign journals, only to find that he had been greatly anticipated by foreign authors. It was manifest, one of the critics said, that the learned professor had not read Rummer’s elementary results in the theory of ideal primes. Yet Professor Smith’s report on the theory of numbers, which contained a full synopsis of Kummer’s theory, was Professor Sylvester’s constant companion.
This weakness of Professor Sylvester, in not being able to read what others had done, is perhaps a concomitant of his peculiar genius. Other minds could pass over little difficulties and not be troubled by them, and so go on to a final understanding of the results of the author. But not so with him. A difficulty, however small, worried him, and he was sure to have difficulties until the subject had been worked over in his own way, to correspond with his own mode of thought. To read the work of others, meant therefore to him an almost independent development of it. Like the man whose pleasure in life is to pioneer the way for society into the forests, his rugged mind could derive satisfaction only in hewing out its own paths; and only when his efforts brought him into the uncleared fields of mathematics did he find his place in the Universe.

I have always felt that astronomical hypotheses should not be regarded as articles of faith, but should only serve as a framework for astronomical calculations, so that it does not matter whether they were right or wrong, as long as the phenomena can be characterized precisely. For who could possibly be certain as to whether the uneven movement of the sun, if we follow the hypotheses of Ptolemy, can be explained by assuming an epicycle or eccentricity. Both assumptions are plausible. That’s why I would consider it quite desirable for you to tell something about that in the preface. In this way you would appease the Aristotelians and the theologians, whose opposition you dread.

I have read various articles on the fourth dimension, the relativity theory of Einstein, and other psychological speculation on the constitution of the universe; and after reading them I feel as Senator Brandegee felt after a celebrated dinner in Washington. “I feel,” he said, “as if I had been wandering with Alice in Wonderland and had tea with the Mad Hatter.”

I have recently read an article on handwriting and forgeries in which it is stated that ink eradicators do not remove ink: but merely bleach it, and that ink so bleached can be easily brought out by a process of fuming: known to all handwriting experts. Can you give me a description of this process, what chemicals are used: and how it is performed?

I suppose that the first chemists seemed to be very hard-hearted and unpoetical persons when they scouted the glorious dream of the alchemists that there must be some process for turning base metals into gold. I suppose that the men who first said, in plain, cold assertion, there is no fountain of eternal youth, seemed to be the most cruel and cold-hearted adversaries of human happiness. I know that the economists who say that if we could transmute lead into gold, it would certainly do us no good and might do great harm, are still regarded as unworthy of belief. Do not the money articles of the newspapers yet ring with the doctrine that we are getting rich when we give cotton and wheat for gold rather than when we give cotton and wheat for iron?

I was reading in an article on Bizet not long ago that music has ceased to be an art and has become a science—in which event it must have a mathematical future!

I’ve been very involved in science literacy because it’s critically important in our world today. … As a public, we’re asked to vote on issues, we’re asked to accept explanations, we’re asked to figure out what to do with our own health care, and you can’t do that unless you have some level of science literacy. Science literacy isn’t about figuring out how to solve equations like E=MC². Rather, it’s about being able to read an article in the newspaper about the environment, about health care and figuring out how to vote on it. It’s about being able to prepare nutritious meals. It’s about being able to think your way through the day.

If the world goes crazy for a lovely fossil, that's fine with me. But if that fossil releases some kind of mysterious brain ray that makes people say crazy things and write lazy articles, a serious swarm of flies ends up in my ointment.

In 1892 one of us was able within the compass of a short article in a medical journal to give a résumé of our knowledge of the Trypanosomes. To-day it requires a whole volume to relate all that is known about these hæmatozoa and the diseases to which they give rise.

It [buckyballs, C₆₀ by Richard Smalley] was an absolutely electrifying discovery. Within a year or two, you couldn’t pick up a chemistry journal without one-third of the articles being about fullerenes.

My interest in science was excited at age nine by an article on astronomy in National Geographic; the author was Donald Menzel of the Harvard Observatory. For the next few years, I regularly made star maps and snuck out at night to make observations from a locust tree in our back yard.

Philosophers no longer write for the intelligent, only for their fellow professionals. The few thousand academic philosophers in the world do not stint themselves: they maintain more than seventy learned journals. But in the handful that cover more than one subdivision of philosophy, any given philosopher can hardly follow more than one or two articles in each issue. This hermetic condition is attributed to “technical problems” in the subject. Since William James, Russell, and Whitehead, philosophy, like history, has been confiscated by scholarship and locked away from the contamination of general use.

Something to remember. If you have remembered every word in this article, your memory will have recorded about 150 000 bits of information. Thus, the order in your brain will have increased by about 150 000 units. However, while you have been reading the article, you will have converted about 300 000 joules of ordered energy, in the form of food, into disordered energy, in the form of heat which you lose to the air around you by convection and sweat. This will increase the disorder of the Universe by about 3 x 10²⁴ units, about 20 million million million times the increase in order because you remember my article.

The Builder of this Universe was wise,
He plann’d all souls, all systems, planets, particles:
The Plan He shap'd all Worlds and Æons by,
Was—Heavens!—was thy small Nine-and-thirty Articles!

There came in February the issue of Life saying on the cover “Dr. Teller Refutes 9000 Scientists”… I wrote to Life and said first that Teller hadn’t refuted 9000 scientists and second I felt that they should publish the article that I had written… They sent the article back and said that they didn’t want it and then I offered it to Look. The editor of Look called me and said they couldn’t get into a controversy with Life. Then I offered it to the Saturday Evening Post and the Ladies Home Journal and Readers Digest and none of them were interested in it. And then I thought, “What shall I do? I’ll have to write a book and see if I can’t get it published.”’

To the east was our giant neighbor Makalu, unexplored and unclimbed, and even on top of Everest the mountaineering instinct was sufficient strong to cause me to spend some moments conjecturing as to whether a route up that mountain might not exist. Far away across the clouds the great bulk of Kangchenjunga loomed on the horizon. To the west, Cho Oyu, our old adversary from 1952, dominated the scene and we could see the great unexplored ranges of Nepal stretching off into the distance. The most important photograph, I felt, was a shot down the north ridge, showing the North Col and the old route that had been made famous by the struggles of those great climbers of the 1920s and 1930s. I had little hope of the results being particularly successful, as I had a lot of difficulty in holding the camera steady in my clumsy gloves, but I felt that they would at least serve as a record. After some ten minutes of this, I realized that I was becoming rather clumsy-fingered and slow-moving, so I quickly replaced my oxygen set and experience once more the stimulating effect of even a few liters of oxygen. Meanwhile, Tenzing had made a little hole in the snow and in it he placed small articles of food – a bar of chocolate, a packet of biscuits and a handful of lollies. Small offerings, indeed, but at least a token gifts to the gods that all devoted Buddhists believe have their home on this lofty summit. While we were together on the South Col two days before, Hunt had given me a small crucifix that he had asked me to take to the top. I, too, made a hole in the snow and placed the crucifix beside Tenzing’s gifts.

We have decided to call the entire field of control and communication theory, whether in the machine or in the animal, by the name Cybernetics, which we form from the Greek … for steersman. In choosing this term, we wish to recognize that the first significant paper on feedback mechanisms is an article on governors, which was published by Clerk Maxwell in 1868, and that governor is derived from a Latin corruption … We also wish to refer to the fact that the steering engines of a ship are indeed one of the earliest and best-developed forms of feedback mechanisms.

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.