A Quote by Henri Poincare
If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.
Related Quotes
In fact, the answer to the question "What is mathematics?" has changed several times during the course of history... It was only in the last twenty years or so that a definition of mathematics emerged on which most mathematicians agree: mathematics is the science of patterns.
Mathematics has two faces: it is the rigorous science of Euclid, but it is also something else. Mathematics presented in the Euclidean way appears as a systematic, deductive science; but mathematics in the making appears as an experimental, inductive science. Both aspects are as old as the science of mathematics itself.
It has never been in my power to study anything, mathematics, ethics, metaphysics, gravitation, thermodynamics, optics, chemistry, comparative anatomy, astronomy, psychology, phonetics, economics, the history of science, whist, men and women, wine, metrology, except as a study of semeiotic .
The history of the development of mechanics is quite indispensable to a full comprehension of the science in its present condition. It also affords a simple and instructive example or the processes by which natural science generally is developed.
What is mathematics? Ask this question of person chosen at random, and you are likely to receive the answer "Mathematics is the study of number." With a bit of prodding as to what kind of study they mean, you may be able to induce them to come up with the description "the science of numbers." But that is about as far as you will get. And with that you will have obtained a description of mathematics that ceased to be accurate some two and a half thousand years ago!
We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions.
We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions
It is for Muslim scholars to study the whole history of Islamic science completely and not only the chapters and periods which influenced Western science. It is also for Muslim scholars to present the tradition of Islamic science from the point of view of Islam itself and not from the point of view of the scientism, rationalism and positivism which have dominated the history of science in the West since the establishment of the discipline in the early part of the 20th century in Europe and America.
It has been a fortunate fact in the modern history of physical science that the scientist constructing a new theoretical system has nearly always found that the mathematics. . . required. . . had already been worked out by pure mathematicians for their own amusement. . . . The moral for statesmen would seem to be that, for proper scientific "planning", pure mathematics should be endowed fifty years ahead of scientists.
A feeling for history is almost an essential for writing and appreciating good science fiction, for sensing the connections between the past and future that run through our present.
We have made mistakes. In our haste to do all things for all people, we did not foresee the full consequences of our actions. And when the people raised their voices, we didn't hear. But our deafness was only a temporary condition, and not an irreversible condition.
Anxieties about ourselves endure. If our proper study is indeed the study of humankind, then it has seemed-and still seems-to many that the study is dangerous. Perhaps we shall find out that we were not what we took ourselves to be. But if the historical development of science has indeed sometimes pricked our vanity, it has not plunged us into an abyss of immorality. Arguably, it has liberated us from misconceptions, and thereby aided us in our moral progress.
Mathematics was born and nurtured in a cultural environment. Without the perspective which the cultural background affords, a proper appreciation of the content and state of present-day mathematics is hardly possible.
If you can speak English, and you can get a place on a proper course at a proper university, you can come to study in Britain.
We cannot foresee what the Lord has in mind for us. Our only course of action is to be prepared and worthy for whatever he requires. We must govern our actions every day with our future in mind.
Economists should be modest and be aware that they are part of the broader social science community. We need to be pragmatic about the methods we use. When we need to do history, we should do history. When we need to study political science, we should study political science.
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