Classical Quotes - page 7
The nice thing about an -ism, someone once observed, is how quickly it becomes a wasm. Some musical wasms-academic-wasm, for example, and its dependent varieties of modern-wasm and Serial-wasm-continue to linger on artifical life support, thought, and continue to threaten the increasingly fragile classical ecosystem.
Richard Taruskin
P. Bernays has pointed out on several occasions that, since the consistency of a system cannot be proved using means of proof weaker than those of the system itself, it is necessary to go beyond the framework of what is, in Hilbert's sense, finitary mathematics if one wants to prove the consistency of classical mathematics, or even that of classical number theory. Consequently, since finitary mathematics is defined as the mathematics in which evidence rests on what is intuitive, certain abstract notions are required for the proof of the consistency of number theory.... In the absence of a precise notion of what it means to be evident, either in the intuitive or in the abstract realm, we have no strict proof of Bernays' assertion; practically speaking, however, there can be no doubt that it is correct...
Paul Bernays
My own prejudices are exactly the opposite of the functionalists': "If you want to understand function, study structure,” I was supposed to have said in my molecular biology days. (I believe I was sailing at the time.) I think that one should approach these problems at all levels, as was done in molecular biology. Classical genetics is, after all, a black-box subject. The important thing was to combine it with biochemistry. In nature hybrid species are usually sterile, but in science the reverse is often true. Hybrid subjects are often astonishingly fertile, whereas if a scientific discipline remains too pure it usually wilts.
Francis Crick
If Keynes was Luther, Friedman was Ignatius of Loyola, founder of the Jesuits. And like the Jesuits, Friedman's followers have acted as a sort of disciplined army of the faithful, spearheading a broad, but incomplete, rollback of Keynesian heresy. By the century's end, classical economics had regained much though by no means all of its former dominion, and Friedman deserves much of the credit.
Paul Krugman
Keynesian theory initially prevailed because it did a far better job than classical orthodoxy of making sense of the world around us, and Friedman's critique of Keynes became so influential largely because he correctly identified Keynesianism's weak points. And just to be clear: although this essay argues that Friedman was wrong on some issues, and sometimes seemed less than honest with his readers, I regard him as a great economist and a great man.
Paul Krugman
Classical science was based upon the belief that it is possible to formulate both the position and velocity at one time of any given particle. It followed that knowledge of the position and velocity of a given number of particles would enable the future behavior of the whole collection to be accurately predicted. The principle of Heisenberg is that given the determination of position, its velocity can be stated only as of a certain order of probability, while if its velocity is determined the correlative factor of position can be stated only as of a certain order of probability. Both cannot be determined at once, from which it follows necessarily that the future of the whole collection cannot possibly be foretold except in terms of some order of probability.
John Dewey
I can respect the artistic aim of a composer if he arrives at the so-called modern idiom after an intense period of preparation...Such composers know what they are doing when they break a law; they know what to react against, because they have had experience in the classical forms and style. Having mastered the rules, they know which can be violated and which should be obeyed. But, I am sorry to say, I have found too often that young composers plunge into the writing of experimental music with their school lessons only half learned. Too much radical music is sheer sham, for this very reason: its composer sets about revolutionizing the laws of music before he learned them himself.
Sergei Rachmaninoff
