I am obliged to interpolate some remarks on a very difficult subject: proof and its importance in mathematics. All physicists, and a good many quite respectable mathematicians, are contemptuous about proof. I have heard Professor Eddington, for example, maintain that proof, as pure mathematicians understand it, is really quite uninteresting and unimportant, and that no one who is really certain that he has found something good should waste his time looking for proof.
G. H. HardyRelated topics
certain example found good looking mathematics proof pure quite respectable should something wasteRelated quotes
"To put it in gentleman's terms if you've been out for a night and you're looking for a young lady and you pull one, some weeks they're good looking and some weeks they're not the best. Our performance today would have been not the best looking bird but at least we got her in the taxi. She wasn't the best looking lady we ended up taking home but she was very pleasant and very nice, so thanks very much, let's have a coffee"
- on the "ugly" win against Chesterfield.
Ian Holloway
The general misunderstanding of a work of art is often due to the fact that the key to its spiritual content and technical means is missed. Unless the observer is trained to a certain degree in the artistic idiom, he is apt to search for things which have little to do with the aesthetic content of a picture. He is likely to look for pure representational values when the emphasis is really upon music-like relationships.
Hans Hofmann
[L]ife, individual or collective, personal or historic, is the one entity in the universe whose substance is compact of danger, of adventure. It is, in the strict sense of the word, drama. ... [T]he primary, radical meaning of life appears when it is employed in the sense not of biology, but of biography. For the very strong reason that the whole of biology is quite definitely only a chapter in certain biographies, it is what biologists do in the portion of their lives open to biography.
José Ortega y Gasset
Yet I am not more sure that my soul lives, than I am that perverseness is one of the primitive impulses of the human heart - one of the indivisible primary faculties, or sentiments, which give direction to the character of man. Who has not, a hundred times, found himself committing a vile or a stupid action, for no other reason than because he knows he should not? Have we not a perpetual inclination, in the teeth of our best judgement, to violate that which is Law, merely because we understand it to be such?
Edgar Allan Poe
Now a writer can make himself a nice career while he is alive by espousing a political cause, working for it, making a profession of believing in it, and if it wins he will be very well placed. All politics is a matter of working hard without reward, or with a living wage for a time, in the hope of booty later. A man can be a Fascist or a Communist and if his outfit gets in he can get to be an ambassador or have a million copies of his books printed by the Government or any of the other rewards the boys dream about.
Ernest Hemingway