A Quote by Farkas Bolyai
The mathematical giant [Gauss], who from his lofty heights embraces in one view the stars and the abysses.
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A child's fear is a world whose dark corners are quite unknown to grownup people; it has its sky and its abysses, a sky without stars, abysses into which no light can ever penetrate.
Two centuries ago Carl Friedrich Gauss, one of the greatest mathematicians and a founder of number theory, described his brainchild as "the queen of mathematics." Queens are regal, but they are also largely decorative, and this nuance was not lost on Gauss.
If a man will comprehend the richness and variety of the universe, and inspire his mind with a due measure of wonder and awe, he must contemplate the human intellect not only on its heights of genius but in its abysses of ineptitude.
Whoever is related to me in the height of his aspirations will experience veritable ecstasies of learning; for I come from heights that no bird ever reached in its flight, I know abysses into which no foot ever strayed.
I think there's something really poetic about using nuclear power to propel us to the stars, because the stars are giant fusion reactors. They're giant nuclear cauldrons in the sky.
The constructs of the mathematical mind are at the same time free and necessary. The individual mathematician feels free to define his notions and set up his axioms as he pleases. But the question is will he get his fellow mathematician interested in the constructs of his imagination. We cannot help the feeling that certain mathematical structures which have evolved through the combined efforts of the mathematical community bear the stamp of a necessity not affected by the accidents of their historical birth.
Ansel Adams rattled around the Southwest with his battered truck and his view camera, which looked like a giant accordion with a lens attached to it.
The enthronement of Christ over the minds of men is steadily going forward. His kingdom embraces the princes in the realm of mind. It embraces the nations of highest civilization. They are all beneath the cross. It is maintained by simple authority. Other mental monarchs rule by logic; Christ's word is law--it is satisfying to His subjects. His truth in the hands of His disciples, like the bread He broke upon the mountains, is an ample supply for the millions that gather at His table.
Gauss replied, when asked how soon he expected to reach certain mathematical conclusions, that he had them long ago, all he was worrying about was how to reach them!
Carl Friedrich Gauss, often rated the greatest mathematician of all time, played the market. On a salary of 1,000 thalers a year, Euler left an estate of 170,587 thalers in cash and securities. Nothing is known of Gauss's investment methods.
If we except the great name of Newton (and the exception is one that the great Gauss himself would have been delighted to make) it is probable that no mathematician of any age or country has ever surpassed Gauss in the combination of an abundant fertility of invention with an absolute vigorousness in demonstration.
Keep your feet on the ground and your thoughts at lofty heights.
As countless as grains of sand by the sea are human passions, and they all differ; all of them, vile or lofty, begin by being under a man's control and then become his terrible masters. Blessed is he who has chosen the most lofty of passions: his immeasurable bliss grows and multiplies tenfold with every hour and minute, and he penetrates deeper and deeper into the infinite paradise of his soul.
If the system exhibits a structure which can be represented by a mathematical equivalent, called a mathematical model, and if the objective can be also so quantified, then some computational method may be evolved for choosing the best schedule of actions among alternatives. Such use of mathematical models is termed mathematical programming.
Holiness is not some lofty experience, unattainable except to those who can leap the stars, but it is rather a lowly experience, which lowly people in the lowly walks of life can share with Jesus, by letting His mind be in them.
The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method-more daring than anything that the history of philosophy records-of Lobachevsky and Riemann, Gauss and Sylvester. Indeed, mathematics, the indispensable tool of the sciences, defying the senses to follow its splendid flights, is demonstrating today, as it never has been demonstrated before, the supremacy of the pure reason.
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