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Science is complex and chilling. The mathematical language of science is understood by very few. The vistas it presents are scary—an enormous universe ruled by chance and impersonal rules, empty and uncaring, ungraspable and vertiginous. How comfortable to turn instead to a small world, only a few thousand years old…
The miracle of man is not how far he has sunk but how magnificently he has risen. We are known among the stars by our poems, not our corpses. No creature who began as a mathematical improbability, who was selected through millions of years of unprecedented environmental hardship and change for ruggedness…
The difference between myth and science is the difference between divine inspiration of 'unaided reason' (as Bertrand Russell put it) on the one hand and theories developed in observational contact with the real world on the other. It is the difference between the belief in prophets and critical thinking, between…
There is no thing as a man who does not create mathematics and yet is a fine mathematics teacher. Textbooks, course material—these do not approach in importance the communication of what mathematics is really about, of where it is going, and of where it currently stands with respect to the specific branch of it being…
In the company of friends, writers can discuss their books, economists the state of the economy, lawyers their latest cases, and businessmen their latest acquisitions, but mathematicians cannot discuss their mathematics at all. And the more profound their work, the less understandable it is.
By the time I was back to Copenhagen, the journal containing Linus' article had arrived from the States. I quickly read it and immediately reread it. Most of the language was above me, and so I could only get a general impression of his argument. I had no way of judging whether it made sense. The only thing I was sure…
“Yes,” Dr. Malone went on, “they know we’re here. They answer back. And here goes the crazy part: you can’t see them unless you expect to. Unless you put your mind in a certain state. You have to be confident and relaxed at the same time. You have to be capable- Where’s that quotation …” She reached into the muddle of…
I met a man in Nigeria one time, an Ibo who had six hundred relatives he knew quite well. His wife had just had a baby, the best possible news in any extended family. They were going to take it to meet all its relatives, Ibos of all ages and sizes and shapes. It would meet other babies, cousins not much older than it…
The great thing about science is that it takes no sides—and no prisoners. Once you know which research to trust, the big picture emerges and myths fade away. To gain my trust, research must pass my “grump factor.” To make it into this book, studies must first have been published in the refereed literature and then…
And if again he descend to the consideration of those arts which are deemed curious rather than safe, and look more closely into the works of the alchemists or the magicians, he will be in doubt perhaps whether he ought rather to laugh over them or to weep. For the alchemist nurses eternal hope and when the thing…
The most conspicuous example of the first class was Aristotle, who corrupted natural philosophy by his logic: fashioning the world out of categories; assigning to the human soul, the noblest of substances, a genus from words of the second intention; doing the business of density and rarity (which is to make bodies of…
You're lying in bed in the labor room of the hospital and you're about as exhausted, as utterly worn out, as you'll ever be. Giving birth is this peculiar combination of determination and compulsion. It's you pushing, and you push in a more concentrated, focused way than you've ever done anything, but in another sense…
The very first article I ever had published appeared in Newsweek and was called "Not All Men Are Sly Foxes." It was all about what I perceived to be the negative stereotyping of fathers in children's literature. I spent an entire day in the children's section of my local library talking to the librarians and reading…
After an evening of talk, perhaps about the fringes of knowledge, or some new possibility of climbing inside the minds and senses of animals, we would go out on the lawn, where we took turns at an amusing little astronomical rite. We searched until we found, with or without glasses, the faint, heavenly spot of…
One day I buried myself, prone, in the muck of a muskrat house. While my clothes absorbed local color, my eyes absorbed the lore of the marsh. A hen redhead cruised by with her convoy of ducklings, pink-billed fluffs of greenish-golden down. A Virginia rail nearly brushed my nose. The shadow of a pelican sailed over a…
As we reached the tiny clump of trees festooned with butterflies as thick as jungle foliage, we Yanks buzzed about, snapping pics, taking notes, storing up impressions with which to later regale our friends back home. The Mexicans by and large sat silently in the forest, kids in laps, eyes somberly fixed on the massed…
31 I believe a leaf of grass is no less than the journey work of the stars, And the pismire is equally perfect, and a grain of sand, and the egg of the wren, And the tree-toad is a chef-d'oeuvre for the highest, And the running blackberry would adorn the parlors of heaven, And the narrowest hinge in my hand puts to…
There are some who make chance responsible for this cosmos and all worlds. For they say that by chance there came about a vortex and a motion of separating out and settling into this arrangement of the whole. And this itself is in fact mightily worth 30 wondering at. For they are saying that animals and plants neither…
I find that most of the insights I achieve when high are into social issues, an area of creative scholarship very different from the one I am generally known for. I can remember one occasion, taking a shower with my wife while high, in which I had an idea on the origins and invalidities of racism in terms of gaussian…
Encyclopedia. This word signifies chain of knowledge ; it is composed of the Greek preposition ἐν , in , and the nouns κύκλος , circle , and παιδεία , knowledge . Indeed, the purpose of an encyclopedia is to collect knowledge disseminated around the globe; to set forth its general system to the men with whom we live…