[T]here are some common animal behaviors that seem to favor the development of intelligence, behaviors that might lead to brainy beasts on many worlds. Social interaction is one of them. If you're an animal that hangs out with others, then there's clearly an advantage in being smart enough to work out the intentions of the guy sitting next to you (before he takes your mate or your meal). And if you're clever enough to outwit the other members of your social circle, you'll probably have enhanced opportunity to breed..., thus passing on your superior intelligence. ... Nature—whether on our planet or some alien world—will stumble into increased IQ sooner or later.

Are the humanistic and scientific approaches different? Scientists can calculate the torsion of a skyscraper at the wing-beat of a bird, or 155 motions of the Moon and 500 smaller ones in addition. They move in academic garb and sing logarithms. They say, “The sky is ours”, like priests in charge of heaven. We poor humanists cannot even think clearly, or write a sentence without a blunder, commoners of “common sense”. We never take a step without stumbling; they move solemnly, ever unerringly, never a step back, and carry bell, book, and candle.

As we survey all the evidence, the thought insistently arises that some supernatural agency—or, rather, Agency—must be involved. Is it possible that suddenly, without intending to, we have stumbled upon scientific proof of the existence of a Supreme Being? Was it God who stepped in and so providentially crafted the cosmos for our benefit?

It’s not the critic who counts; not the man which points out how the strong man stumbles or where the doer of deeds could have done them better. The credit belongs to the man who is actually in the arena, whose face is marred by dust and sweat and blood; who strives valiantly; who errs, who comes short again and again … who knows great enthusiasms, the great devotions; who spends himself in a worthy cause; who at the best knows in the end the triumph of high achievement, and who at the worst, if he fails, at least fails while daring greatly, so that his place shall never be with those cold and timid souls who neither know victory nor defeat.

Keep on going and the chances are you will stumble on something, perhaps when you are least expecting it. I have never heard of anyone stumbling on something sitting down.

Man occasionally stumbles on the truth, but then just picks himself up and hurries on regardless.

Man was made to try. Afterward he’s free to keep or throw away what pleasures or what promise that he’s found. What knowledge gained or stumbled on can be discarded or retained.

My two Jamaican cousins … were studying engineering. “That’s where the money is,” Mom advised. … I was to be an engineering major, despite my allergy to science and math. … Those who preceded me at CCNY include the polio vaccine discoverer, Dr. Jonas Salk … and eight Nobel Prize winners. … In class, I stumbled through math, fumbled through physics, and did reasonably well in, and even enjoyed, geology. All I ever looked forward to was ROTC.

Occasionally he stumbled over the truth but he always picked himself up and hurried on as if nothing had happened.

Perhaps I can best describe my experience of doing mathematics in terms of a journey through a dark unexplored mansion. You enter the first room of the mansion and it’s completely dark. You stumble around bumping into the furniture, but gradually you learn where each piece of furniture is. Finally, after six months or so, you find the light switch, you turn it on, and suddenly it’s all illuminated. You can see exactly where you were. Then you move into the next room and spend another six months in the dark. So each of these breakthroughs, while sometimes they’re momentary, sometimes over a period of a day or two, they are the culmination of—and couldn’t exist without—the many months of stumbling around in the dark that proceed them.

Research is industrial prospecting. The oil prospectors use every scientific means to find new paying wells. Oil is found by each one of a number of methods. My own group of men are prospecting in a different field, using every possible scientific means. We believe there are still things left to be discovered. We have only stumbled upon a few barrels of physical laws from the great pool of knowledge. Some day we are going to hit a gusher.

Run the tape again, and let the tiny twig of Homo sapiens expire in Africa. Other hominids may have stood on the threshold of what we know as human possibilities, but many sensible scenarios would never generate our level of mentality. Run the tape again, and this time Neanderthal perishes in Europe and Homo erectus in Asia (as they did in our world). The sole surviving human stock, Homo erectus in Africa, stumbles along for a while, even prospers, but does not speciate and therefore remains stable. A mutated virus then wipes Homo erectus out, or a change in climate reconverts Africa into inhospitable forest. One little twig on the mammalian branch, a lineage with interesting possibilities that were never realized, joins the vast majority of species in extinction. So what? Most possibilities are never realized, and who will ever know the difference? Arguments of this form lead me to the conclusion that biology's most profound insight into human nature, status, and potential lies in the simple phrase, the embodiment of contingency: Homo sapiens is an entity, not a tendency.

Science is a progressive activity. The outstanding peculiarity of man is that he stumbled onto the possibility of progressive activities. Such progress, the accumulation of experience from generation to generation, depended first on the development of language, then of writing and finally of printing. These allowed the accumulation of tradition and of knowledge, of the whole aura of cultural inheritance that surrounds us. This has so conditioned our existence that it is almost impossible for us to stop and examine the nature of our culture. We accept it as we accept the air we breathe; we are as unconscious of our culture as a fish, presumably, is of water.

The chances for favorable serendipity are increased if one studies an animal that is not one of the common laboratory species. Atypical animals, or preparations, force one to use non-standard approaches and non-standard techniques, and even to think nonstandard ideas. My own preference is to seek out species which show some extreme of adaptation. Such organisms often force one to abandon standard methods and standard points of view. Almost inevitably they lead one to ask new questions, and most importantly in trying to comprehend their special and often unusual adaptations one often serendipitously stumbles upon new insights.

The industry of artificers maketh some small improvement of things invented; and chance sometimes in experimenting maketh us to stumble upon somewhat which is new; but all the disputation of the learned never brought to light one effect of nature before unknown.

The major credit I think Jim and I deserve … is for selecting the right problem and sticking to it. It’s true that by blundering about we stumbled on gold, but the fact remains that we were looking for gold. Both of us had decided, quite independently of each other, that the central problem in molecular biology was the chemical structure of the gene. … We could not see what the answer was, but we considered it so important that we were determined to think about it long and hard, from any relevant point of view.

To stumble twice against the same stone is a proverbial disgrace.

Whatever you can teach him from the nature of things themselves, do not teach him by words. Leave him to himself to see, hear, find, stumble, rise again, and be mistaken. Give no words when action or deed is possible. What he can do for himself, let him do.

You may take the noblest poetry in the world, and, if you stumble through it at snail's pace, it collapses from a work of art into a rubbish heap.