A Quote by Harold Davenport
A peculiarity of the higher arithmetic is the great difficulty which has often been experienced in proving simple general theorems which had been suggested quite naturally by numerical evidence.
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Mathematics is not arithmetic. Though mathematics may have arisen from the practices of counting and measuring it really deals with logical reasoning in which theorems-general and specific statements-can be deduced from the starting assumptions. It is, perhaps, the purest and most rigorous of intellectual activities, and is often thought of as queen of the sciences.
The theory of numbers, more than any other branch of mathematics, began by being an experimental science. Its most famous theorems have all been conjectured, sometimes a hundred years or more before they were proved; and they have been suggested by the evidence of a mass of computations.
Nothing has afforded me so convincing a proof of the unity of the Deity as these purely mental conceptions of numerical and mathematical science which have been by slow degrees vouchsafed to man, and are still granted in these latter times by the Differential Calculus, now superseded by the Higher Algebra, all of which must have existed in that sublimely omniscient Mind from eternity.
It has also been a great solace to me, to believe that you are engaged in vindicating to posterity the course we have pursued for preserving to them, in all their purity, the blessings of self-government, which we had assisted too in acquiring for them. If ever the earth has beheld a system of administration conducted with a single and steadfast eye to the general interest and happiness of those committed to it, one which, protected by truth, can never know reproach, it is that to which our lives have been devoted.
The ability of nonintelligent people to understand the most complicated mechanisms and to use them has always been to me a cause of astonishment: their inability to understand simple questions is even more astonishing. The general acceptance of simple ideas is difficult and rare, and yet it is only when simple, fundamental, ideas have been accepted that further progress becomes possible on a higher level.
We learned from Gauguin that every work of art is a transposition, a caricature, a passionate equivalent of a sensation which has been experienced. He freed us from all restraints which the idea of copying naturally placed on our painter's instincts. All artists are now free to express their own personality.
Had (I) been a member of a more popular race, I should have been inclined to yield to the temptation of depending upon my ancestry and my colour to do that for me which I should do for myself. Years ago I resolved that because I had no ancestry myself I would leave a record of which my children would be proud, and which might encourage them to still higher effort
There are very few theorems in advanced analysis which have been demonstrated in a logically tenable manner. Everywhere one finds this miserable way of concluding from the special to the general and it is extremely peculiar that such a procedure has led to so few of the so-called paradoxes.
'Big Time Rush' was a great show, and I had some great experiences. It allowed me to become more of a comedic actress, which is also a great skill to have. But there wasn't a whole lot of tragedy in there. Not quite as dark as 'Red Band Society.' So I've been very lucky to have been able to grow in that sense, just through moving to FOX.
I used to get recognized quite often as being a 'Soul Train' dancer. Quite often, which was great at times but sometimes was not so great. Especially, back at college, it was not so great. It was pretty tough.
The accumulation of skill and science which has been directed to diminish the difficulty of producing manufactured goods, has not been beneficial to that country alone in which it is concentrated distant kingdoms have participated in its advantages.
The accumulation of skill and science which has been directed to diminish the difficulty of producing manufactured goods, has not been beneficial to that country alone in which it is concentrated; distant kingdoms have participated in its advantages.
I was trying to write then and I found the greatest difficulty, aside from knowing what you really felt, rather that what you were supposed to feel, and had been taught to feel, was to put down what really happened in action; what the actual things which produced the emotion that you experienced.
A good author, and one who writes carefully, often discovers that the expression of which he has been in search without being able to discover it, and which he has at last found, is that which was the most simple, the most natural, and which seems as if it ought to have presented itself at once, without effort, to the mind.
Precedents deliberately established by wise men are entitled to great weight. They are evidence of truth, but only evidence...But a solitary precedent...which has never been reexamined, cannot be conclusive.
All I know is that, thanks to a sort of habit which has always been ingrained in me, I have never, at any moment of my life, experienced the least difficulty in addressing myself to God as to a supreme Someone.
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