A god, as I have said, commanded me to tell the first use also, and he himself knows that I have shrunk from its obscurity. He knows too that not only here but also in many other places in these commentaries, if it depended on me, I would omit demonstrations requiring astronomy, geometry, music, or any other logical discipline, lest my books should be held in utter detestation by physicians. For truly on countless occasions throughout my life I have had this experience; persons for a time talk pleasantly with me because of my work among the sick, in which they think me very well trained, but when they learn later on that I am also trained in mathematics, they avoid me for the most part and are no longer at all glad to be with me. Accordingly, I am always wary of touching on such subjects, and in this case it is only in obedience to the command of a divinity, as I have said, that I have used the theorems of geometry.
GalenRelated topics
case command detestation experience glad hold later learn lest life longer mathematics music requiring say should sick tell think time use well workRelated quotes
The philosophy of nature must not be unduly terrestrial; for it, the earth is merely one of the smaller planets of one of the smaller stars of the Milky Way. It would be ridiculous to warp the philosophy of nature in order to bring out results that are pleasing to the tiny parasites of this insignificant planet. Vitalism as a philosophy, and evolutionism, show, in this respect, a lack of sense of proportion and logical relevance. They regard the facts of life, which are personally interesting to us, as having a cosmic significance, not a significance confined to the earth's surface. Optimism and pessimism, as cosmic philosophies, show the same naive humanism; the great world, so far as we know it from the philosophy of nature, is neither good nor bad, and is not concerned to make us happy or unhappy. All such philosophies spring from self-importance and are best corrected by a little astronomy.
Bertrand Russell
What is the shortest way to travel from Rotterdam to Groningen, in general: from given city to given city. It is the algorithm for the shortest path, which I designed in about twenty minutes. One morning I was shopping in Amsterdam with my young fiancée, and tired, we sat down on the café terrace to drink a cup of coffee and I was just thinking about whether I could do this, and I then designed the algorithm for the shortest path. As I said, it was a twenty-minute invention. In fact, it was published in '59, three years late. The publication is still readable, it is, in fact, quite nice. One of the reasons that it is so nice was that I designed it without pencil and paper. I learned later that one of the advantages of designing without pencil and paper is that you are almost forced to avoid all avoidable complexities. Eventually that algorithm became, to my great amazement, one of the cornerstones of my fame.
Edsger W. Dijkstra
My most dear lord, King and husband, / The hour of my death now drawing on, the tender love I owe you forceth me, my case being such, to commend myself to you, and to put you in remembrance with a few words of the health and safeguard of your soul which you ought to prefer before all worldly matters, and before the care and pampering of your body, for the which you have cast me into many calamities and yourself into many troubles. For my part, I pardon you everything, and I wish to devoutly pray God that He will pardon you also. For the rest, I commend unto you our daughter Mary, beseeching you to be a good father unto her, as I have heretofore desired. I entreat you also, on behalf of my maids, to give them marriage portions, which is not much, they being but three. For all my other servants I solicit the wages due them, and a year more, lest they be unprovided for. Lastly, I make this vow, that mine eyes desire you above all things. / Katharine the Quene.
Catherine of Aragon
David Galin, among other researchers, has pointed out that teachers have three main tasks: first, to train both hemispheres - not only the verbal, symbolic, logical left hemisphere, which has always been trained in the traditional education, but also the relational, holistic right hemisphere, which is largely neglected in today's schools; second, to train students to use the cognitive style suited to the tasks at hand; and third, to train students to be able to bring both styles - both hemispheres - to bear on a problem in an integrated manner.
When teachers can pair the complementary modes or fit one mode to the appropriate task, teaching and learning will become a much more precise process. Ultimately, the goal will be to develop both halves of the brain. Both modes are necessary for full human functioning and both are necessary for creative work of all kinds, whether writing or painting, developing a new theory in physics, or dealing with environmental problems.
Betty Edwards
That is to say that every single book will be magnetized, will be ordered under complicated mathematical clusters, by related subjects, and semantic markers. You will state your questions, or the subject you are interested in, and the computer will find the books for you. Instataneous retrieval brings with it enormous changes in our relation to the history of a subject, because there is a cut-off point in all these systems beond which the previous books are no longer relevant. They have been adequately subsumed in the later ones. You have a completely different way of organsing knowledge-an immensely efficient and in many ways powerfully logical way, but which blocks the essential motion of the hand reaching along a shelf and stumbling on what it did not know was there. When these great knowledge and data-banks, as they are called, are operative there will come a whole change in the way the human mind and eye live with books.
George Steiner
