A Quote by Louis J. Mordell

Mathematical study and research are very suggestive of mountaineering. Whymper made several efforts before he climbed the Matterhorn in the 1860's and even then it cost the life of four of his party. Now, however, any tourist can be hauled up for a small cost, and perhaps does not appreciate the difficulty of the original ascent. So in mathematics, it may be found hard to realise the great initial difficulty of making a little step which now seems so natural and obvious, and it may not be surprising if such a step has been found and lost again.
But that the reasoning from these facts, the drawing from them correct conclusions, is a matter of great difficulty, may be inferred from the imperfect state in which the Science is now found after it has been so long and so intensely studied.
Perhaps the most surprising thing about mathematics is that it is so surprising. The rules which we make up at the beginning seem ordinary and inevitable, but it is impossible to foresee their consequences. These have only been found out by long study, extending over many centuries. Much of our knowledge is due to a comparatively few great mathematicians such as Newton, Euler, Gauss, or Riemann; few careers can have been more satisfying than theirs. They have contributed something to human thought even more lasting than great literature, since it is independent of language.
Russia may soon get another chance to move closer to the West, to make a step - I do believe the first step toward democracy was made in the 1990s, and perhaps the next step can happen now. If this happens, the West needs to see it in time and support it in an intelligent way.
What makes the theory of relativity so acceptable to physicists in spite of its going against the principle of simplicity is its great mathematical beauty. This is a quality which cannot be defined, any more than beauty in art can be defined, but which people who study mathematics usually have no difficulty in appreciating.
He that has energy enough in his constitution to root out a vice should go a little further, and try to plant a virtue in its place; otherwise he will have his labor to renew. A strong soil that has produced weeds may be made to produce wheat with far less difficulty than it would cost to make it produce nothing.
It may have been a comedy, or it may have been a tragedy. It cost one man his reason, it cost me a blood-letting, and it cost yet another man the penalties of the law. Yet there was certainly an element of comedy. Well, you shall judge for yourselves.
In the last two months I have been very busy with my own mathematical speculations, which have cost me much time, without my having reached my original goal. Again and again I was enticed by the frequently interesting prospects from one direction to the other, sometimes even by will-o'-the-wisps, as is not rare in mathematic speculations.
If you have a great ambition, take as big a step as possible in the direction of fulfilling it. The step may only be a tiny one, but trust that it may be the largest one possible for now.
There was rarely an obvious branching point in a person's life. People changed slowly, over time. You didn't take on step, then find yourself in a completely new location. You first took a little step off a path to avoid some rocks. For a while, you walked alongside the path, but then you wandered out a little way to step on softer soil. Then you stopped paying attention as you drifted farther and farther away. Finally, you found yourself in the wrong city, wondering why the signs on the roadway hadn't led you better.
Yet, even now, ever time (often) that I find that I don't understand something, then instinctively, I'm filled with the hope that perhaps this will be my moment again, perhaps once again I shall understand nothing, I shall grasp that other knowledge, found and lost in an instant.
And having thoughtlessly polluted our streams and rivers, we have seen in recent years a rapidly growing market for bottled drinking water. I am sure that some will say that a rapidly growing market for water is "good for the economy," and most of us are still affluent enough to pay the cost. Nevertheless, it is a considerable cost that we are now paying for drinkable water, which we once had in plentiful supply at little cost or none at all. And the increasing of the cost suggests that the time may come when the cost will be unaffordable.
You know not having my real dad around and having a step dad made me want to be a great dad. So now I have been one for 9 years. And now 3 daughters. So, that is what I am - a dad, first and foremost, before anything else. It's just something that comes natural now.
A man may call to mind the face of his friend, but not his own. Here, then, is an initial difficulty in the way of applying the maxim, Know Thyself.
Whatever of true glory has been won by any nation of the earth; whatever great advance his been made by any nation in that which constitutes a high Christian civilization, has been always at the cost of sacrifice; has cost the price marked upon it in God's inventory of national good.
Can the difficulty of an exam be measured by how many bits of information a student would need to pass it? This may not be so absurd in the encyclopedic subjects but in mathematics it doesn't make any sense since things follow from each other and, in principle, whoever knows the bases knows everything. All of the results of a mathematical theorem are in the axioms of mathematics in embryonic form, aren't they?
A mighty wind of resolution sets in strong upon him and freshens the whole atmosphere of his soul, sweeping down before it the light flakes of difficulty, till they vanish like snow upon the sea. He is imprisoned no more in a small compartment of time, but belongs to an eternity which is now and here. The isolation of his separate spirit passes away; and with the countless multitude of souls akin to God, he is but a wave of his unbounded deep. He is at one with Heaven, and hath found the secret place of the Almighty.
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