Arrow Quotes - page 2
A great deal of study has been directed to denning 'best decisions,' particularly since the pioneering work of mathematical statisticians (such as Wald), of mathematicians (such as von Neumann), of economists (such as Arrow)... The main effect of this development on the practice of OR has been the growing realization that there are decision objectives other than maximizing expected return and minimizing maximum loss. That is, in many practical situations there are criteria of optimality that are more appropriate than these two mentioned.
Russell L. Ackoff
Time's arrow of "just history” marks each moment of time with a distinctive brand. But we cannot, in our quest to understand history, be satisfied only with a mark to recognize each moment and a guide to order events in temporal sequence. Uniqueness is the essence of history, but we also crave some underlying generality, some principles of order transcending the distinction of moments-lest we be driven mad by Borges's vision of a new picture every two thousand pages in a book without end. We also need, in short, the immanence of time's cycle.
Stephen Jay Gould
It takes a full sixty years for the Cold Arrow Bamboo to go through the cycle of flowering, seeding, dying and for the seeds to sprout, grow, and flower. According to Buddhist teachings on transmigration this would be exactly one kalpa. "Man follows earth, earth follows sky, sky follows the way, the way follows nature, don't commit actions which go against the basic character of nature, don't commit acts which should not be committed." "Then what scientific value is there in saving the giant panda?" I ask. "It's symbolic, it's a sort of reassurance―people need to deceive themselves. We are preoccupied with saving a species which no longer has the capacity for survival and yet on the other hand we're changing ahead and destroying the very environment for the survival of the human species itself."
Gao Xingjian
It is the first step in sociological wisdom, to recognize that the major advances in civilization are processes which all but wreck the societies in which they occur:-like unto an arrow in the hand of a child. The art of free society consists first in the maintenance of the symbolic code; and secondly in fearlessness of revision, to secure that the code serves those purposes which satisfy an enlightened reason. Those societies which cannot combine reverence to their symbols with freedom of revision, must ultimately decay either from anarchy, or from the slow atrophy of a life stifled by useless shadows.
Alfred North Whitehead
We should take counsel of both nature and art in the consideration of this question. When the architect intends a grand structure, he makes the foundation broad and strong. We should imitate this prudence in laying the foundations of the future Republic. There is a law of harmony in all departments of nature. The oak is in the acorn. The career and destiny of individual men are enfolded in the elements of which they are composed. The same is true of a nation. It will be something or it will be nothing. It will be great, or it will be small, according to its own essential qualities. As these are rich and varied, or pure and simple, slender and feeble, broad and strong, so will be the life and destiny of the nation itself. The stream cannot rise higher than its source. The ship cannot sail faster than the wind. The flight of the arrow depends upon the strength and elasticity of the bow, and as with these, so with a nation.
Frederick Douglass
The days of Black Power are numbered. Its course, indeed is onward. But with the swiftness of an arrow, it rushes to the tomb. While crushing its millions, it is also crushing itself. The sword of Retribution, suspended by a single hair, hangs over it. That sword must fall. Liberty must triumph.
Frederick Douglass
It's true that my initial training was in mathematics. However, almost by accident, I happened to take a course from Kenneth Arrow on "Information Economics,” which was so inspiring that I decided to change direction. It seemed to me that economics combined the best of both worlds: the rigor of mathematics with the immediate relevance of a social science. As for how much math I would recommend, I'd say that basic analysis, including measure theory, is certainly very useful. Also, linear algebra and stochastic processes always helps. But beyond that, I don't think a huge mathematical investment is necessary to do economic theory unless you are planning to work in an extremely technical area.
Eric Maskin