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.
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Mark Kac, Enigmas Of Chance, p. 93Paul Erdos
Hunagarian mathematician Paul Erdős, although an atheist, spoke of an imaginary book, in which God has written down all the most beautiful mathematical proofs. When Erdős wanted to express particular appreciation of a proof, he would exclaim "This one's from the Book!". This viewpoint expresses the idea that mathematics, as the intrinsically true foundation on which the laws of our universe are built, is a natural candidate for what has been personified as God by different religious mystics.
Paul Erdos
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 Erdos
In the late 1980s Erdős heard of a promising high school student named Glen Whitney who wanted to study mathematics at Harvard but was a little short the tuition. Erdős arranged to see him and, convinced of the young man's talent, lent him $1,000. He asked Whitney to pay him back only when it would not cause financial strain. A decade later Graham heard from Whitney, who at last had the money to repay Erdős. "Did Erdős expect me to pay interest?" Whitney wondered. "What should I do?" he asked Graham. Graham talked to Erdős. "Tell him," Erdős said, "to do with the $1,000 what I did."
Paul Erdos
In a never-ending search for good mathematical problems and fresh mathematical talent, Erdős crisscrossed four continents at a frenzied pace, moving from one university or research center to the next. His modus operandi was to show up on the doorstep of a fellow mathematician, declare, "My brain is open," work with his host for a day or two, until he was bored or his host was run down, and then move on to another home.
Erdős's motto was not "Other cities, other maidens" but "Another roof, another proof." He did mathematics in more than 25 different countries, completing important proofs in remote places and sometimes publishing them in equally obscure journals.Paul Erdos
One of my working assumptions which has been proven successful so often as seemingly to qualify it as a reliable tenet is that A problem adequately stated is a problem solved theoretically and immediately, and therefore subsequently to be solved, realistically. Others have probably stated the principle in many ways. The assumption is that the inevitability of a solution's realization is inherent in the interaction of human intellect and the constantly transformative evolution of physical universe. At first the, only subconsciously apprehended, approaching confluences of complex events make themselves known intuitively within the intellectual weather. Then comes a gradually awakening consciousness of the presence of new families of differentiating-out challenging concepts of every day prominence. It is with these randomly patterning families of separate concepts that evolution is about to deal integratively. As a now specific unitary problem it may be disposed of effectively when and if that unified problem becomes "adequately stated" and thereby comprehensibly solvable.
Buckminster Fuller
Erdos, Paul
Erhard, Werner
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