With the assistance of mathematics, I can see a property of the ninety-nine dimensional surfaces hidden from the naked eye. If an increase in the price of fertilizer alone always increases the amount the firm buys of caviar, from that fact alone I can predict the answer to the following experiment which I have never seen performed and upon which I have no observations: an increase in the price of caviar alone will increase the amount the firm buys of fertilizer. In thermodynamics such reciprocity or integrability conditions are known as Maxwell Conditions; in economics they are known as Hotelling conditions in honor of Harold Hotelling's 1932 work.
Paul SamuelsonRelated topics
answer economics experiment eye following hide honor increase known mathematics predict property reciprocity see seen thermodynamics work maxwellRelated quotes
If there was anything, anything more at all, after this crazy mix-up we call living, I could feel that there might be some point to the whole frantic business, even if I did not know and could not know the full answer while I was alive.”
"And suppose there was not? Suppose that when a man's body disintegrates, he himself disappears absolutely. I'm bound to say I find it a probable hypothesis.”
"Well- It wouldn't be cheerful knowledge, but it would be better than not knowing. You could plan your life rationally, at least. A man might even be able to get a certain amount of satisfaction in planning things better for the future, after he's gone. A vicarious pleasure in the anticipation.
Robert A. Heinlein
Doctor Doom: Bereft of my technology... mystic armor damaged... offensive and defensive capabilities minimal. Enemy forces... [a horde of demons closes in] substantial. It matters not. Even cornered, to my last breath I remain who and what I am. I will not hide, nor tremble, nor beg. Let them come and reckon with fury that is DOOM defiant. Here I stand, hell-horde! Unbowed! But understand: If it is my destiny that I should perish this day, I shall not go down easily... and I shall NOT go down ALONE.
Demons: RIP its SKIN. Wear it for HIDE. Its EYES for me. Tear its FLESH from its BONES.
Doctor Doom: Yes, come, and let us make an end of it - there is DOOM enough for ALL!
J. Michael Straczynski
When evening comes, I return home and enter my study; on the threshold I take off my workday clothes, covered with mud and dirt, and put on the garments of court and palace. Fitted out appropriately, I step inside the venerable courts of the ancients, where, solicitously received by them, I nourish myself on that food that alone is mine and for which I was born; where I am unashamed to converse with them and to question them about the motives for their actions, and they, out of their human kindness, answer me. And for four hours at a time I feel no boredom, I forget all my troubles, I do not dread poverty, and I am not terrified by death. I absorb myself into them completely.
Niccolò Machiavelli
He has made contributions to many areas of science; among them are agronomy, anthropology, astronomy, bacteriology, botany, economics, forestry, meteorology, psychology, public health, and-above all-genetics, in which he is recognized as one of the leaders. Out of this varied scientific research and his skill in mathematics, he has evolved systematic principles for the interpretation of empirical data; and he has founded a science of experimental design. On the foundations he has laid down, there has been erected a structure of statistical techniques that are used whenever people attempt to learn about nature from experiment and observation.
Ronald Fisher
Early in 1954 I was appointed Lecturer in Economics at the University of Queensland in Brisbane. Then, in 1956, I was awarded a Rockefeller Fellowship, enabling me and Anne to spend two years at Stanford University, where I got a Ph.D. in economics, whereas Anne got an M.A. in psychology. I had the good fortune of having Ken Arrow as advisor and as dissertation supervisor. I benefitted very much from discussing many finer points of economic theory with him. But I also benefitted substantially by following his advice to spend a sizable part of my Stanford time studying mathematics and statistics. These studies proved very useful in my later work in game theory.
John Harsanyi