If we do not succeed in solving a mathematical problem, the reason frequently consists in our failure to recognize the more general standpoint from which the problem before us appears only as a single link in a chain of related problems. After finding this standpoint, not only is this problem frequently more accessible to our investigation, but at the same time we come into possession of a method which is applicable also to related problems.
David HilbertRelated topics
chain failure general link possession problem reason single solvingRelated quotes
An extra-terrestrial philosopher, who had watched a single youth up to the age of twenty-one and had never come across any other human being, might conclude that it is the nature of human beings to grow continually taller and wiser in an indefinite progress towards perfection and this generalization would be just as well founded as the generalization which evolutionists base upon the previous history of this planet.
Bertrand Russell
Love, n. A temporary insanity curable by marriage or by removal of the patient from the influences under which he incurred the disorder. This disease, like caries and many other ailments, is prevalent only among civilized races living under artificial conditions; barbarous nations breathing pure air and eating simple food enjoy immunity from its ravages. It is sometimes fatal, but more frequently to the physician than to the patient.
Ambrose Bierce
We were created for eternal life by our Creator, we are called to it by the word of God, and we are renewed by holy Baptism. And Christ the Son of God came into the world for this, that He should call us and take us there, and He is the one thing needful. For this reason your very first endeavor and care should be to receive it. Without it everything is as nothing, though you have the whole world under you.
Tikhon of Zadonsk
The scientific enterprise as a whole does from time to time prove useful, open up new territory, display order, and test long-accepted belief. Nevertheless, the individual engaged on a normal research problem is almost never doing any one of these things. Once engaged, his motivation is of a rather different sort. What then challenges him is the conviction that, if only he is skillful enough, he will succeed in solving a puzzle that no one before has solved or solved so well.
Thomas Samuel Kuhn
After sleeping through a hundred million centuries we have finally opened our eyes on a sumptuous planet, sparkling with color, bountiful with life. Within decades we must close our eyes again. Isnt it a noble, an enlightened way of spending our brief time in the sun, to work at understanding the universe and how we have come to wake up in it This is how I answer when I am askedas I am surprisingly oftenwhy I bother to get up in the mornings.
Richard Dawkins