It was not so much that I was doing mathematics, but rather that mathematics had taken possession of me.
Even the simplest calculation in the purest mathematics can have terrible consequences. Without the invention of the infinitesimal calculus most of our technology would have been impossible. Should we say therefore that calculus is bad?
In many cases, mathematics is an escape from reality. The mathematician finds his own monastic niche and happiness in pursuits that are disconnected from external affairs. Some practice it as if using a drug.
Rota's personality is compatible with mine.
What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else.
Do not lose your faith. A mighty fortress is our mathematics. Mathematics will rise to the challenge, as it always has.
Mathematics may be a way of developing physically, that is anatomically, new connections in the brain.
Ada came from Lwów. She was a very good looking girl who was studying mathematics at the University of Geneva. For a few years I had an off-and-on romance with her.
The infinite we shall do right away. The finite may take a little longer.
As a mathematician, von Neumann was quick, brilliant, efficient, and enormously broad in scientific interests beyond mathematics itself. He knew his technical abilities; his virtuosity in following complicated reasoning and his insights were supreme; yet he lacked absolute self confidence.
What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else. Roughly speaking, people know that it deals with numbers, figures, with relations, operations, and that its formal procedures involving axioms, proofs, lemmas, theorems have not changed since the time of Archimedes.
In mathematics, as in physics, so much depends on chance, on a propitious moment.
Thanks to my memory, which enabled me to quote Latin and to discuss Greek and Roman civilization, it became obvious to some of my colleagues in other fields that I was interested in things outside mathematics. This lead quickly to very pleasant relationships.
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