Reductio Quotes
Imagism was a reductio ad absurdum of one or two tendencies of romanticism, such a beautifully and finally absurd one that it is hard to believe it existed as anything but a logical construction; and what imagist found it possible to go on writing imagist poetry? A number of poets have stopped writing entirely; others, like recurring decimals, repeat the novelties they commeced with, each time less valuably than before. And there are surrealist poetry, and political poetry, and all the othe refuges of the indigent.
Randall Jarrell
Aggregative consequentialist theories are threatened by infinitarian paralysis: they seem to imply that if the world is canonically infinite then it is always ethically indifferent what we do. In particular, they would imply that it is ethically indifferent whether we cause another holocaust or prevent one from occurring. If any non-contradictory normative implication is a reductio ad absurdum, this one is.
Nick Bostrom
The over-publicized bit about expression (or non-expression) was simply a way of saying that music is supra-personal and super-real and as such beyond verbal meanings and verbal descriptions. It was aimed against the notion that a piece of music is in reality a transcendental idea "expressed in terms of" music, with the reductio ad absurdum implication that exact sets of correlatives must exist between a composer's feelings and his notation. It was offhand and annoyingly incomplete, but even the stupider critics could have seen that it did not deny musical expressivity, but only the validity of a type of verbal statement about musical expressivity. I stand by the remark, incidentally, though today I would put it the other way around: music expresses itself.
Igor Stravinsky
In following this movement towards its end we shall inevitably reach a point beyond which the scene is darkened by the shadow of Hitler. Unfortunately, it does not go without saying that in our examination we must avoid the fallacy that in the last decades has frequently been used as a substitute for the reductio ad absurdum: the reductio ad Hitlerum. A view is not refuted by the fact that it happens to have been shared by Hitler.
Leo Strauss
The Pythagoreans discovered the existence of incommensurable lines, or of irrationals. This was, doubtless, first discovered with reference to the diagonal of a square which is incommensurable with the side, being in the ratio to it of √2 to 1. The Pythagorean proof of this particular case survives in Aristotle and in a proposition interpolated in Euclid's Book X.; it is by a reductio ad absurdum proving that, if the diagonal is commensurable with the side, the same number must be both odd and even. This discovery of the incommensurable... showed that the theory of proportion invented by Pythagoras was not of universal application and therefore that propositions proved by means of it were not really established.... The fatal flaw thus revealed in the body of geometry was not removed till Eudoxus discovered the great theory of proportion (expounded in Euclid's Book V.), which is applicable to incommensurable as well as to commensurable magnitudes.
Thomas Little Heath
It is apparently very congenial for some people who are professionally concerned with fictional texts to be told that all texts are really fictional anyway, and that claims that fiction differs significantly from science and philosophy can be deconstructed as a logocentric prejudice, and it seems positively exhilarating to be told that what we call "reality" is just more textuality. Furthermore, the lives of such people are made much easier than they had previously supposed, because now they don't have to worry about an author's intentions, about precisely what a text means, or about distinctions within a text between the metaphorical and the literal, or about the distinction between texts and the world because everything is just a free play of signifiers. The upper limit, and I believe the reductio ad absurdum, of this "sense of mastery" conveyed by deconstruction, is in Geoffrey Hartman's claim that the prime creative task has now passed from the literary artist to the critic.
John Searle
The United States represents the reductio ad absurdum of the negative and the most senile aspects of Western civilization. What in Europe exist in diluted form are magnified and concentrated in the United States whereby they are revealed as the symptoms of disintegration and cultural and human regression. The American mentality can only be interpreted as an example of regression, which shows itself in the mental atrophy towards all higher interests and incomprehension of higher sensibility. The American mind has limited horizons, one conscribed to everything which is immediate and simplistic, with the inevitable consequence that everything is made banal, basic and leveled down until it is deprived of all spiritual life. Life itself in American terms is entirely mechanistic. The sense of I in America belongs entirely to the physical level of existence. The typical American neither has spiritual dilemmas nor complications: he is a natural joiner and conformist.
Julius Evola
