The Hierarchical World of Mathematics and Theoretical Physics

The world of mathematics and theoretical physics is hierarchical. That was my first exposure to it. There's a limit beyond which one cannot progress. The differences between the limiting abilities of those on successively higher steps of the pyramid are enormous. I have not seen described anywhere the shock a talented man experiences when he finds, late in his academic life, that there are others enormously more talented than he. I have personally seen more tears shed by grown men and women over this discovery than I would have believed possible. Most of those men and women shift to fields where they can compete on more equal terms.

Notes:

The difference in talent between individuals is enormous, and shocking to those who discover others are vastly more talented than they.

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Mathematics (0.943217): dbpedia | freebase | opencyc
Theoretical physics (0.932279): dbpedia | freebase
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 Alvarez: Adventures of a Physicist (Alfred P. Sloan Foundation Series)
Books, Brochures, and Chapters>Book:  Alvarez , Luis W. (1989-05), Alvarez: Adventures of a Physicist (Alfred P. Sloan Foundation Series), Basic Books, Retrieved on 2011-09-03
Folksonomies: physics biography