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Donald Knuth

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We should continually be striving to transform every art into a science: in the process, we advance the art.
--
p. 669 [italics in source]

 
Donald Knuth

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The process of writing is a process of learning; and much has become clearer to me in the attempt to transform my original rough notes into what I hope is an intelligible presentation.

 
Paul A. Baran
 

At different stages in the educational process different changes are required. In schools the chief need is for a general change in the attitude towards science, which should be from the beginning an integral part and not a mere addition, often an optional addition, to the curriculum. Science should be taught not merely as a subject but should come into all subjects. Its importance in history and in modern life should be pointed out and illustrated. The old contrast, often amounting to hostility, between scientific and humane subjects need to be broken down and replaced by a scientific humanism. At the same time, the teaching of science proper requires to be humanized. The dry and factual presentation requires to be transformed, not by any appeal to mystical theory, but by emphasizing the living and dramatic character of scientific advance itself. Here the teaching of the history of science, not isolated as at present, but in close relation to general history teaching, would serve to correct the existing atmosphere of scientific dogmatism. It would show at the same time how secure are the conquests of science in the control they give over natural processes and how insecure and provisional, however necessary, are the rational interpretations, the theories and hypotheses put forward at each stage. Past history by itself is not enough, the latest developments of science should not be excluded because they have not yet passed the test of time. It is absolutely necessary to emphasize the fact that science not only has changed but is continually changing, that it is an activity and not merely a body of facts. Throughout, the social implications of science, the powers that it puts into men's hands, the uses they could make of them and those which they in fact do, should be brought out and made real by a reference to immediate experience of ordinary life.

 
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Ever since the beginning of modern science, the best minds have recognized that "the range of acknowledged ignorance will grow with the advance of science." "In science the more we know, the more extensive the contact with nescience." Unfortunately, the popular effect of this scientific advance has been a belief, seemingly shared by many scientists, that the range of our ignorance is steadily diminishing and that we can therefore aim at more comprehensive and deliberate control of all human activities. It is for this reason that those intoxicated by the advance of knowledge so often become the enemies of freedom … The more men know, the smaller the share of all that knowledge becomes that any one mind can absorb. The more civilized we become, the more relatively ignorant must each individual be of the facts on which the working of his civilization depends.

 
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The assimilation of algebra by mathematical physics, a process spanning the eighteenth and extending into the nineteenth century, exacerbates the implicit thoughtlessness of classical science by subordinating scientific cognition to symbolic formulae increasingly devoid of insight. In the process, a genuine encounter with natural necessity, revelatory of divine providence, is lost to science, Symbolic or algebraic physics represents the collectivization of thought, as it were, where science itself is rendered a technique of knowledge production and thought ceases to be the activity of any responsible individual. ... This process reaches its logical conclusion in twentieth-century physics, where science is reduced finally to a form of symbolic manipulation the only value of which is predictive success and technological domination of nature.

 
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When we look at what is taking place in the world we begin to understand that there is no outer and inner process; there is only one unitary process, it is a whole, total movement, the inner movement expressing itself as the outer and the outer reacting again on the inner. To be able to look at this seems to me all that is needed, because if we know how to look, then the whole thing becomes very clear, and to look needs no philosophy, no teacher. Nobody need tell you how to look. You just look. Can you then, seeing this whole picture, seeing it not verbally but actually, can you easily, spontaneously, transform yourself? That is the real issue. Is it possible to bring about a complete revolution in the psyche?

 
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