Analysis Quotes - page 21
The way the world worked, once the word was out, the effect would take on exhaustibility. There was always not merely the event itself, but opinion of the event, and rebuttal of the opinion, and the ready charge of self-interest, and the countercharge. There was the analysis of the event, and the excavation of the root causes of the event, and the placement of the event in the correct historical context. Everyone would want to kick the can, and it would clatter over the cobblestones interminably, far from the toes of those who'd first impelled it.
Algis Budrys
Ultimately, the struggle of the fundamentalists is against two enemies, secularism and modernism. The war against secularism is conscious and explicit, and there is by now a whole literature denouncing secularism as an evil neo-pagan force in the modern world and attributing it variously to the Jews, the West, and the United States. The war against modernity is for the most part neither conscious nor explicit, and is directed against the whole process of change that has taken place in the Islamic world in the past century or more and has transformed the political, economic, social, and even cultural structures of Muslim countries. Islamic fundamentalism has given an aim and a form to the otherwise aimless and formless resentment and anger of the Muslim masses at the forces that have devalued their traditional values and loyalties and, in the final analysis, robbed them of their beliefs, their aspirations, their dignity, and to an increasing extent even their livelihood.
Bernard Lewis
Objections... inspired Kronecker and others to attack Weierstrass' "sequential" definition of irrationals. Nevertheless, right or wrong, Weierstrass and his school made the theory work. The most useful results they obtained have not yet been questioned, at least on the ground of their great utility in mathematical analysis and its implications, by any competent judge in his right mind. This does not mean that objections cannot be well taken: it merely calls attention to the fact that in mathematics, as in everything else, this earth is not yet to be confused with the Kingdom of Heaven, that perfection is a chimaera, and that, in the words of Crelle, we can only hope for closer and closer approximations to mathematical truth-whatever that may be, if anything-precisely as in the Weierstrassian theory of convergent sequences of rationals defining irrationals.
Eric Temple Bell