At the beginning of this century a self-destructive democratic principle was advanced in mathematics (especially by Hilbert), according to which all axiom systems have equal right to be analyzed, and the value of a mathematical achievement is determined, not by its significance and usefulness as in other sciences, but by its difficulty alone, as in mountaineering. This principle quickly led mathematicians to break from physics and to separate from all other sciences. In the eyes of all normal people, they were transformed into a sinister priestly caste... Bizarre questions like Fermat's problem or problems on sums of prime numbers were elevated to supposedly central problems of mathematics.
Vladimir ArnoldRelated topics
axiom beginning break central century democratic difficulty equal led mathematics problem right significance value mountaineering Hilbert questions sciences eyesRelated quotes
Our country is suffering from the lack of food. We don't have rice for the military. Our country is in a state of anarchy because of the dysfunctional food rationing system. The administration department is responsible for this mess, as well as the Party officials. The Party's Central Committee members have failed their duty in generating a revolutionary spirit, diminishing the Party's effectiveness. We must solve the food problem according to socialist principles, and we must not rely on individuals. If we let the people solve the problem on their own, only merchants and markets will prosper. Then, selfishness will rule our society and destroy our system of true equality.
Kim Jong-il
But now, in this century of ideologies, the Gods and Destiny have been given new life. "Miracles in the world are many," Sophocles wrote in the fifth century BC. "There is no greater miracle than man." Suddenly, at the end of the twentieth century, we discover that no, after all, it isn't true. Historical inevitability is a greater miracle than man. As is the dialectic. As is the superiority of various groups according to blood type. As is the genius of an abstract mechanism called the market. As is the leadership of inanimate objects - called technology - which worker bees create and then, inevitably, are led by. These inevitabilities are great leaps backward into the arms of the Gods and Destiny.
John Ralston Saul
The attitude of Aristotelian physics toward lawfulness takes a new direction. So long as lawfulness remained limited to such processes as occurred repeatedly in the same way, it is evident, not only that the young physics still lacked the courage to extend the principle to all physical phenomena, but also that the concept of lawfulness still had a fundamentally historic, a temporally particular, significance. Stress was laid not upon the "general validity” which modem physics understands by lawfulness, but upon the events in the historically given world which displayed the required stability. The highest degree of lawfulness, beyond mere frequency, was characterized by the idea of the always eternal.
Kurt Lewin
Questions at home and school should be decided in the light of the future. It is a process of toughening, but not the sort of false physical thing that we have called toughening. Our boys and girls ought to know that the bully type, the false "tough," has been the first to break down under the actual fire of battle. The quiet, the calm, the determined have made the best soldiers. Why? Obviously the bully is insecure in himself- he blusters to muster his own courage. Children ought to know that. They ought to be taught to retort to the bully, "You're a coward or you wouldn't make such a noise about being brave. The really brave man simply acts brave- he doesn't have to talk about it."
Pearl S. Buck
Less than a century ago the laborer had no rights, little or no respect, and led a life which was socially submerged and barren.... American industry organized misery into sweatshops and proclaimed the right of capital to act without restraints and without conscience. The inspiring answer to this intolerable and dehumanizing existence was economic organization through trade unions. The worker became determined not to wait for charitable impulses to grow in his employer. He constructed the means by which fairer sharing of the fruits of his toil had to be given to him or the wheels of industry, which he alone turned, would halt and wealth for no one would be available...
Martin Luther King Jr.