"Erdős knows about more problems than anybody else, and he not only knows about various problems and conjectures, but he also knows the tastes of various mathematicians. So if I get a letter from him giving me three of his conjectures and two of his problems, then its sure that these are exactly the kind of conjectures and problems Im interested in, and these are exactly the kind of questions I may be able to answer. Of course, this applies not only to me, but to everybody else. So Erdős has an amazing ability to match problems with people. Which is why so many mathematicians benefit from his presence. Every letter is likely to inspire you to do some work, or every phone call will give you some problems you are interested in."
Paul Erdős was a Hungarian mathematician. He was one of the most prolific mathematicians and producers of mathematical conjectures of the 20th century. Erdős pursued and proposed problems in discrete mathematics, graph theory, number theory, mathematical analysis, approximation theory, set theory, and probability theory. Much of his work centered on discrete mathematics, cracking many previously u
"Paul Erdős is the consummate problem solver: his hallmark is the succinct and clever argument, often leading to a solution from "the book". He loves areas of mathematics which do not require an excessive amount of technical knowledge but give scope for ingenuity and surprise. The mathematics of Paul Erdős is the mathematics of beauty and insight."
Paul Erdős"I think that, as , a very clever young Israeli mathematician, once said, "I am an opportunist. I do what I can do." If there is anything in number theory that I can do, I certainly do it. But you see some of the problems in number theory are enormously difficult and many of these classic problems are very, very hard to make any progress in."
Paul Erdős"As a mathematician Erdös is what in other fields is called a "natural". If a problem can be stated in terms he can understand, though it may belong to a field with which he is not familiar, he is as likely as, or even more likely than, the experts to find a solution."
Paul Erdős"If numbers arent beautiful, I dont know what is."
Paul Erdős"A conjecture both deep and profound Is whether a circle is round. In a paper of Erdős Written in Kurdish A counterexample is found."
Paul Erdős"Paul Erdős (1913–1996) was once told that a friend of his had shot and killed his wife. Without blinking an eye, Erdős said, "Well, she was probably interrupting him when he was trying to prove a theorem."
Paul Erdős"The smart way to keep people passive and obedient is to strictly limit the spectrum of acceptable opinion, but allow very lively debate within that spectrum - even encourage the more critical and dissident views. That gives people the sense that theres free thinking going on, while all the time the presuppositions of the system are being reinforced by the limits put on the range of the debate."
"With much care and skill power has been broken into fragments in the American township, so that the maximum possible number of people have some concern with public affairs."
"The people reign over the American political world as God rules over the universe. It is the cause and the end of all things; everything rises out of it and is absorbed back into it."
"I should say that when people talk about capitalism its a bit of a joke. Theres no such thing. No country, no business class, has ever been willing to subject itself to the free market, free market discipline. Free markets are for others. Like, the Third World is the Third World because they had free markets rammed down their throat. Meanwhile, the enlightened states, England, the United States, others, resorted to massive state intervention to protect private power, and still do. Thats right up to the present. I mean, the Reagan administration for example was the most protectionist in post-war American history. Virtually the entire dynamic economy in the United States is based crucially on state initiative and intervention: computers, the internet, telecommunication, automation, pharmaceutical, you just name it. Run through it, and you find massive ripoffs of the public, meaning, a system in which under one guise or another the public pays the costs and takes the risks, and profit is privatized. Thats very remote from a free market. Free market is like what India had to suffer for a couple hundred years, and most of the rest of the Third World."
"I appeal to all pupils, students and young people, asking you to focus on the horizons that are opening up for you, and which you could only dream of a year ago. Our future will depend on your desire for education and moral values as well as on your entrepreneurial spirit."
"We have created a wealthy society with tens of millions of talented, resourceful individuals who play virtually no role whatsoever as citizens. Bringing these people in — with their networks of influence, their knowledge, and their resources — is the key to creating the capacity for shared intelligence that we need to solve our problems."
Al Gore