[Magic] enables man to carry out with confidence his important tasks, to maintain his poise and his mental integrity in fits of anger, in the throes of hate, of unrequited love, of despair and anxiety. The function of magic is to ritualize man's optimism, to enhance his faith in the victory of hope over fear. Magic expresses the greater value for man of confidence over doubt, of steadfastness over vacillation, of optimism over pessimism.

[The surplus of basic knowledge of the atomic nucleus was] largely used up [during the war with the atomic bomb as the dividend.] We must, without further delay restore this surplus in preparation for the important peacetime job for the nucleus - power production. ... Many of the proposed applications of atomic power - even for interplanetary rockets - seem to be within the realm of possibility provided the economic factor is ruled out completely, and the doubtful physical and chemical factors are weighted heavily on the optimistic side. ... The development of economic atomic power is not a simple extrapolation of knowledge gained during the bomb work. It is a new and difficult project to reach a satisfactory answer. Needless to say, it is vital that the atomic policy legislation now being considered by the congress recognizes the essential nature of this peacetime job, and that it not only permits but encourages the cooperative research-engineering effort of industrial, government and university laboratories for the task. ... We must learn how to generate the still higher energy particles of the cosmic rays - up to 1,000,000,000 volts, for they will unlock new domains in the nucleus.

[There is no shortage of scientific talent.] But [I am] much less optimistic about the managerial vision [of the pharmaceutical industry] to catalyse these talents to deliver the results we all want.

[Werhner von Braun] is a human leader whose eyes and thoughts have always been turned toward the stars. It would be foolish to assign rocketry success to one person totally. Components must necessarily be the work of many minds; so must successive stages of development. But because Wernher von Braun joins technical ability, passionate optimism, immense experience and uncanny organizing ability in the elusive power to create a team, he is the greatest human element behind today’s rocketry success

I am an old man now, and when I die and go to heaven, there are two matters on which I hope for enlightenment. One is quantum electrodynamics and the other is the turbulent motion of fluids. About the former, I am really rather optimistic.

I don’t know if I would call it a miracle. I would call it a spectacular example of what people can do. To me, it’s like putting the first man on the moon or splitting the atom. We’ve shown that if the right treatment is given to people who have a catastrophic injury that they could walk away from it.
Expressing optimism for further recovery for Kevin Everett, a Buffalo Bills football player who suffered a paralyzing spinal injury during a game (9 Sep 2007), but after two days of hospital treatment had begun voluntarily moving his arms and legs. Green credits as significant to the recovery was that within minutes of his injury, the patient was quickly treated with intravenous ice-cold saline solution to induce hypothermia.

I was a child in a time of hope. I grew up when the expectations for science were very high: in the thirties and forties. … There was a sense of optimism about science and the future.

I would feel more optimistic about a bright future for man if he spent less time proving that he can outwit Nature and more time tasting her sweetness and respecting her seniority.

Man has never been a particularly modest or self-deprecatory animal, and physical theory bears witness to this no less than many other important activities. The idea that thought is the measure of all things, that there is such a thing as utter logical rigor, that conclusions can be drawn endowed with an inescapable necessity, that mathematics has an absolute validity and controls experience—these are not the ideas of a modest animal. Not only do our theories betray these somewhat bumptious traits of self-appreciation, but especially obvious through them all is the thread of incorrigible optimism so characteristic of human beings.

Optimism is a good characteristic, but if carried to an excess, it becomes foolishness. We are prone to speak of the resources of this country as inexhaustible; this is not so.

Optimism is the faith that leads to achievement. Nothing can be done without hope or confidence.

The American, by nature, is optimistic. He is experimental, an inventor and a builder who builds best when called upon to build greatly. Arouse his will to believe in himself, give him a great goal to believe in, and he will create the means to reach it.

The influence of the mathematics of Leibnitz upon his philosophy appears chiefly in connection with his law of continuity and his prolonged efforts to establish a Logical Calculus. … To find a Logical Calculus (implying a universal philosophical language or system of signs) is an attempt to apply in theological and philosophical investigations an analytic method analogous to that which had proved so successful in Geometry and Physics. It seemed to Leibnitz that if all the complex and apparently disconnected ideas which make up our knowledge could be analysed into their simple elements, and if these elements could each be represented by a definite sign, we should have a kind of “alphabet of human thoughts.” By the combination of these signs (letters of the alphabet of thought) a system of true knowledge would be built up, in which reality would be more and more adequately represented or symbolized. … In many cases the analysis may result in an infinite series of elements; but the principles of the Infinitesimal Calculus in mathematics have shown that this does not necessarily render calculation impossible or inaccurate. Thus it seemed to Leibnitz that a synthetic calculus, based upon a thorough analysis, would be the most effective instrument of knowledge that could be devised. “I feel,” he says, “that controversies can never be finished, nor silence imposed upon the Sects, unless we give up complicated reasonings in favor of simple calculations, words of vague and uncertain meaning in favor of fixed symbols [characteres].” Thus it will appear that “every paralogism is nothing but an error of calculation.” “When controversies arise, there will be no more necessity of disputation between two philosophers than between two accountants. Nothing will be needed but that they should take pen in hand, sit down with their counting-tables, and (having summoned a friend, if they like) say to one another: Let us calculate.” This sounds like the ungrudging optimism of youth; but Leibniz was optimist enough to cherish the hope of it to his life’s end.

The lower you fall, the higher you’ll fly.

There is no fun in psychiatry. If you try to get fun out of it, you pay a considerable price for your unjustifiable optimism.

We should therefore, with grace and optimism, embrace NOMA’s tough-minded demand: Acknowledge the personal character of these human struggles about morals and meanings, and stop looking for definite answers in nature’s construction. But many people cannot bear to surrender nature as a ‘transitional object’–a baby’s warm blanket for our adult comfort. But when we do (for we must) , nature can finally emerge in her true form: not as a distorted mirror of our needs, but as our most fascinating companion. Only then can we unite the patches built by our separate magisteria into a beautiful and coherent quilt called wisdom.

We were trying. In spite of several failures, we felt we were getting close. It’s difficult to translate the optimism of the Brigham staff and hospital. The administration really backed us.