A Quote by Eric Temple Bell
Poincaré [was] the last man to take practically all mathematics, pure and applied, as his province. ... Few mathematicians have had the breadth of philosophic vision that Poincaré had, and none in his superior in the gift of clear exposition.
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Programming is one of the most difficult branches of applied mathematics; the poorer mathematicians had better remain pure mathematicians.
Relations between pure and applied mathematicians are based on trust and understanding.
Namely, pure mathematicians do not trust applied mathematicians, and applied mathematicians do not understand pure mathematicians.
[On the Gaussian curve, remarked to Poincaré:] Experimentalists think that it is a mathematical theorem while the mathematicians believe it to be an experimental fact.
To exist (in mathematics), said Henri Poincaré, is to be free from contradiction. But mere existence does not guarantee survival. To survive in mathematics requires a kind of vitality that cannot be described in purely logical terms.
Poincaré was a vigorous opponent of the theory that all mathematics can be rewritten in terms of the most elementary notions of classical logic; something more than logic, he believed, makes mathematics what it is.
The scientist finds his reward in what Henri Poincare calls the joy of comprehension, and not in the possibility of application to which any discovery may lead.
Had Poincaré been as strong in practical science as he was in theoretical he might have made a fourth with the incomparable
three, Archimedes, Newton, and Gauss.
It may be appropriate to quote a statement of Poincare, who said (partly in jest no doubt) that there must be something mysterious about the normal law since mathematicians think it is a law of nature whereas physicists are convinced that it is a mathematical theorem.
In one horrible moment the last piece of the prophecy became clear. So bid him take care, bid him look where he leaps, As life may be death and death life again reaps. He had to leap, and by his death, the others would live. That was it. That was what Sandwich had been trying to say all along, and by now he believed in Sandwich. He put on a final burst of speed, just like the coach taught him in track. He gave everything he had. In the last few steps before the canyon he felt a sharp pain in the back of his leg, and then the ground gave way under his feet. Gregor the Overlander leaped.
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.
The superior man honors his virtuous nature, and maintains constant inquiry and study, seeking to carry it out to its breadth and greatness, so as to omit none of the more exquisite and minute points which it embraces, and to raise it to its greatest height and brilliancy.
But my last conscious thought was an image of Prince Char when he'd caught the bridle of Sir Stephan's horse. His face had been close to mine. Two curls had spilled onto his forehead. A few freckles dusted his nose, and his eyes said he was sorry for me to go.
Culture had worked in her own case, but during the last few weeks she had doubted whether it humanized the majority, so wide and so widening is the gulf that stretches between the natural and the philosophic man, so many the good chaps who are wrecked in trying to cross it.
He pulled the Carstairs family ring from his finger and held it out to Will. "Take it." Will let his eyes drift down toward it, and then up to Jem's face. A dozen awful things he could say, or do, went through his mind. One did not slough off a persona so quickly, he had found. He had pretended to be cruel for so many years that the pretense was still what he reached for first, as a man might absently turn his carriage toward the home he had lived in for all his life, despite the fact that he had recently moved. "You wish to marry me now?" he said, at last.
A few months before my dad died, his eyes had started to go, and his skin was turning green. When he finally went to hospital, he was diagnosed with late-stage pancreatic cancer. None of us kids knew why the old man ignored the doctors and refused their help, but none of us were surprised, either.
But, in conformity to His wisdom it was right that afterwards the Prophet should be sent back from the vision of pure Unity and that he should return . . . toward the separative vision. For, He created man and jinn only that they should worship Him and know Him - and, if they remained at the degree of pure Unity, there would be none to worship Him. In this separative vision, the Worshipped and the worshipper, the Lord and the servant, the Creator and the creature are again perceived.
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