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“The Analytical Engine might act upon other things besides number, were objects found whose mutual fundamental relations could be expressed by those of the abstract science of operations, and which should be also susceptible of adaptations to the action of the operating notation and mechanism of the engine… Supposing, for instance, that the fundamental relations of pitched sounds in the science of harmony and of musical composition were susceptible of such expression and adaptations, the engine might compose elaborate and scientific pieces of music of any degree of complexity or extent.”

“If P=NP, then the world would be a profoundly different place than we usually assume it to be. There would be no special value in “creative leaps,” no fundamental gap between solving a problem and recognizing the solution once it's found. Everyone who could appreciate a symphony would be Mozart; everyone who could follow a step-by-step argument would be Gauss; everyone who could recognize a good investment strategy would be Warren Buffett.”

“Are we lost, or are we found at last? On earth we strive for our various needs, because so goes the fundamental law of man. Aloft, at least for a little while, the needs disappear. Likewise the striving. In the thoughts of man aloft, food and evil become mixed and sometimes reversed. This is the open door to wisdom. Aloft, the earth is ancient and man is young, regardless of his numbers, for there, aloft he may reaffirm his suspicions that he may not be so very much. This is the gateway to humility.”

“The country is in deep trouble. We've forgotten that a rich life consists fundamentally of serving others, trying to leave the world a little better than you found it. We need the courage to question the powers that be, the courage to be impatient with evil and patient with people, the courage to fight for social justice. In many instances we will be stepping out on nothing, and just hoping to land on something. But that's the struggle. To live is to wrestle with despair, yet never allow despair to have the last word.”

“The philosopher Descartes believed he had found the most fundamental truth when he made his famous statement: "I think, therefore I am." He had, in fact, given expression to the most basic error: to equate thinking with Being and identity with thinking. The compulsive thinker, which means almost everyone, lives in a state of apparent separateness, in an insanely complex world of continuous problems and conflict, a world that reflects the ever-increasing fragmentation of the mind.”

“I have tried to read philosophers of all ages and have found many illuminating ideas but no steady progress toward deeper knowledge and understanding. Science, however, gives me the feeling of steady progress: I am convinced that theoretical physics is actual philosophy. It has revolutionized fundamental concepts, e.g., about space and time (relativity), about causality (quantum theory), and about substance and matter (atomistics), and it has taught us new methods of thinking (complementarity) which are applicable far beyond physics.”

“There is a reward structure in science that is very interesting: Our highest honors go to those who disprove the findings of the most revered among us. So Einstein is revered not just because he made so many fundamental contributions to science, but because he found an imperfection in the fundamental contribution of Isaac Newton.”

“It would appear... that moral phenomena, when observed on a great scale, are found to resemble physical phenomena; and we thus arrive, in inquiries of this kind, at the fundamental principle, that the greater the number of individuals observed, the more do individual peculiarities, whether physical or moral, become effaced, and leave in a prominent point of view the general facts, by virtue of which society exists and is preserved.”

“That the fundamental aspects of heredity should have turned out to be so extraordinarily simple supports us in the hope that nature may, after all, be entirely approachable. Her much-advertised inscrutability has once more been found to be an illusion due to our ignorance. This is encouraging, for, if the world in which we live were as complicated as some of our friends would have us believe we might well despair that biology could ever become an exact science.”

“There is no society known where a more or less developed criminality is not found under different forms. No people exists whose morality is not daily infringed upon. We must therefore call crime necessary and declare that it cannot be non-existent, that the fundamental conditions of social organization, as they are understood, logically imply it.”

“As an engineer, I understood that the natural world operated according to fixed laws. Through my studies, I came to realize that there were, likewise, laws that govern human wellbeing. It seemed to me that these laws are fundamental not only to the wellbeing of societies, but also to the miniature societies of organizations. Indeed, that is what we found when we began to apply these principles systematically at Koch Industries. Through our observation of how they could create prosperity in an organization, I began to systematize my beliefs into Market-Based Management.”