The art of music is good, for the reason, among others, that it produces pleasure; but what proof is it possible to give that pleasure is good? If, then, it is asserted that there is a comprehensive formula, including all things which are in themselves good, and that whatever else is good, is not so as an end, but as a mean, the formula may be accepted or rejected, but is not a subject of what is commonly understood by proof.
John Stuart MillRelated topics
art comprehensive end good mean music pleasure possible proof reason whatever others thingsRelated quotes
I perfectly understand the particular attention which you pay to the question of nuclear energy, and fully realize the possible dangers and catastrophes which might result for mankind from an irresponsible attitude. In this field my wish is for Iran to put all her efforts towards the peaceful use of atomic energy. We shall continue to co-operate with all the nations of the world to attain this end in the interests of human society.
Muhammad Reza Pahlavi
So, ultimately, in order to understand nature it may be necessary to have a deeper understanding of mathematical relationships. But the real reason is that the subject is enjoyable, and although we humans cut nature up in different ways, and we have different courses in different departments, such compartmentalization is really artificial, and we should take our intellectual pleasures where we find them.
Richard Feynman
Great nations write their autobiographies in three manuscripts the book of their deeds, the book of their words, and the book of their art. Not one of these books can be understood unless we read the two others; but of the three, the only quite trustworthy one is the last. The acts of a nation may be triumphant by its good fortune; and its words mighty by the genius of a few of its children: but its art, only by the general gifts and common sympathies of the race.
John Ruskin
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. Hardy
Again, it is possible to fail in many ways (for evil belongs to the class of the unlimited and good to that of the limited), while to succeed is possible only in one way (for which reason also one is easy and the other difficult-to miss the mark easy, to hit it difficult); for these reasons also, then, excess and defect are characteristic of vice, and the mean of virtue; For men are good in but one way, but bad in many.
Aristotle