Esthetic Quotes (3 quotes)
I am of the decided opinion, that mathematical instruction must have for its first aim a deep penetration and complete command of abstract mathematical theory together with a clear insight into the structure of the system, and doubt not that the instruction which accomplishes this is valuable and interesting even if it neglects practical applications. If the instruction sharpens the understanding, if it arouses the scientific interest, whether mathematical or philosophical, if finally it calls into life an esthetic feeling for the beauty of a scientific edifice, the instruction will take on an ethical value as well, provided that with the interest it awakens also the impulse toward scientific activity. I contend, therefore, that even without reference to its applications mathematics in the high schools has a value equal to that of the other subjects of instruction.
In 'Ueber das Lehrziel im mathemalischen Unterricht der höheren Realanstalten', Jahresbericht der Deutschen Mathematiker Vereinigung, 2, 192. (The Annual Report of the German Mathematical Association. As translated in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-Book (1914), 73.
It is, so to speak, a scientific tact, which must guide mathematicians in their investigations, and guard them from spending their forces on scientifically worthless problems and abstruse realms, a tact which is closely related to esthetic tact and which is the only thing in our science which cannot be taught or acquired, and is yet the indispensable endowment of every mathematician.
In Die Entwickelung der Mathematik in den letzten Jahrhunderten (1869), 28. As translated in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-book (1914), 92. From the original German, “Es ist, so zu sagen, ein wissenschaftlicher Tact, welcher die Mathematiker bei ihren Untersuchungen leiten, und sie davor bewahren muss, ihre Kräfte auf wissenschaftlich werthlose Probleme und abstruse Gebiete zu wenden, ein Tact, der dem ästhetischen nahe verwandt, das einzige ist, was in unserer Wissenschaft nicht gelehrt und gelernt werden kann, aber eine unentbehrliche Mitgift eines Mathematikers sein sollte.”
The moon, which is a favorite of the poets and portrayed by the Buddhists as representing the esthetic qualities of peace, serenity and beauty, is now being conquered by man’s ever expanding knowledge of science and technology. What was a mere conceptional imagination is today a concrete reality. The American landing on the moon symbolizes the very acme of scientific achievement. It is indeed a phenomenal feat of far-reaching consequences for the world of science.
In 'Reactions to Man’s Landing on the Moon Show Broad Variations in Opinions', The New York Times (21 Jul 1969), 6.
In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion.
(1987) -- 
