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Quote by Michael Atiyah

“There is no clear-cut distinction between example and theory”

Book:Michael Atiyah Collected Works: Volume 7: 2002-2013

Work

Michael Atiyah Collected Works: Volume 7: 2002-2013

The collection includes a diverse range of mathematical research articles and lectures, showcasing Atiyah's work in various areas of mathematics, including geometry, topology, and mathematical physics. more

Author

Michael Atiyah

Michael Atiyah, born on April 22, 1929, is a renowned mathematician from the United Kingdom. He has made significant contributions to various fields of mathematics, particularly in topology, geometry, and mathematical physics. Atiyah is known for his research in K-theory, index theorems, and geometric analysis. more

“Because of mathematics precise, formal character, mathematical arguments remain sound even when they are long and complex. In contast, common sense arguments can generally be trusted only if they remain short; even moderately long nonmathematical arguments rapidly becomes farfetched an dubious.”

Ifs Long Character Sound Common Argument Mathematics Complexes Common Sense Mathematical Trusted Formal Precise Dubious

Author:Jacob T. Schwartz

“In recent years we have become much more preoccupied with streamlining and organizing our subject than with maintaining its overall vitality. If we are not careful, a great adventure of the mind will become yet another profession.”

Ifs Years Mind Subjects Adventure Careful Profession Vitality Maintaining Great Adventure Streamlining

Book:Discrete Thoughts: Essays on Mathematics, Science and Philosophy

Source: Discrete Thoughts: Essays on Mathematics, Science and Philosophy

“The pendulum of mathematics swings back and forth towards abstraction and away from it with a timing that remains to be estimated.”

Mathematics Remains Swings Timing Abstraction Back And Forth Pendulums

Book:Indiscrete Thoughts

Source: Indiscrete Thoughts

“You feed yourself. Make sure you have all the information, whether it's aesthetic, scientific, mathematical, I don't care what it is. Then you walk away from it and let it ferment. You ignore it and pretend you don't care. Next thing you know, the answer comes.”