“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.”

—  Mark Kac

Source: Enigmas Of Chance (1985), Chapter 4, On Toast!, p. 93.

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "As a mathematician Erdös is what in other fields is called a "natural". If a problem can be stated in terms he can unde…" by Mark Kac?
Mark Kac photo
Mark Kac 17
Polish-American mathematician 1914–1984

Related quotes

Henry Adams photo
Peter Kropotkin photo

“When you put the ball in his hands there is no telling what is going to happen - sometimes I am just amazed watching what he can do even though I am playing on the same field he is.”

Javon Ringer (1987) All-American college football player, professional football player, running back

MSU WR Mark Dell, quoted here http://www.ncaa.com/sports/m-footbl/spec-rel/092108acj.html

Samuel Richardson photo
Julian Schwinger photo
Richard Feynman photo

“It requires a much higher degree of imagination to understand the electromagnetic field than to understand invisible angels. … I speak of the E and B fields and wave my arms and you may imagine that I can see them … [but] I cannot really make a picture that is even nearly like the true waves.”

Richard Feynman (1918–1988) American theoretical physicist

volume II; lecture 20, "Solution of Maxwell's Equations in Free Space"; section 20-3, "Scientific imagination"; p. 20-9 to 20-10
The Feynman Lectures on Physics (1964)

Colin Wilson photo
Norbert Wiener photo

“Since Leibniz there has perhaps been no man who has had a full command of all the intellectual activity of his day. Since that time, science has been increasingly the task of specialists, in fields which show a tendency to grow progressively narrower… Today there are few scholars who can call themselves mathematicians or physicists or biologists without restriction. A man may be a topologist or a coleopterist. He will be filled with the jargon of his field, and will know all its literature and all its ramifications, but, more frequently than not, he will regard the next subject as something belonging to his colleague three doors down the corridor, and will consider any interest in it on his own part as an unwarrantable breach of privacy… There are fields of scientific work, as we shall see in the body of this book, which have been explored from the different sides of pure mathematics, statistics, electrical engineering, and neurophysiology; in which every single notion receives a separate name from each group, and in which important work has been triplicated or quadruplicated, while still other important work is delayed by the unavailability in one field of results that may have already become classical in the next field.
It is these boundary regions which offer the richest opportunities to the qualified investigator. They are at the same time the most refractory to the accepted techniques of mass attack and the division of labor. If the difficulty of a physiological problem is mathematical in essence, then physiologists ignorant of mathematics will get precisely as far as one physiologists ignorant of mathematics, and no further. If a physiologist who knows no mathematics works together with a mathematician who knows no physiology, the one will be unable to state his problem in terms that the other can manipulate, and the second will be unable to put the answers in any form that the first can understand… A proper exploration of these blank spaces on the map of science could only be made by a team of scientists, each a specialist in his own field but each possessing a thoroughly sound and trained acquaintance with the fields of his neighbors; all in the habit of working together, of knowing one another's intellectual customs, and of recognizing the significance of a colleague's new suggestion before it has taken on a full formal expression. The mathematician need not have the skill to conduct a physiological experiment, but he must have the skill to understand one, to criticize one, and to suggest one. The physiologist need not be able to prove a certain mathematical theorem, but he must be able to grasp its physiological significance and to tell the mathematician for what he should look. We had dreamed for years of an institution of independent scientists, working together in one of these backwoods of science, not as subordinates of some great executive officer, but joined by the desire, indeed by the spiritual necessity, to understand the region as a whole, and to lend one another the strength of that understanding.”

Source: Cybernetics: Or Control and Communication in the Animal and the Machine (1948), p. 2-4; As cited in: George Klir (2001) Facets of Systems Science, p. 47-48

Mwanandeke Kindembo photo

Related topics