Frases de Paul Halmos

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Paul Halmos

Data de nascimento: 3. Março 1916
Data de falecimento: 2. Outubro 2006

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Paul Richard Halmos foi um matemático estadunidense nascido na Hungria.

Pesquisou os campos de teoria de logaritmos, teoria das probabilidades, estatística, teoria de operadores e análise funcional , entre outros.

Sua autobiografia, publicada em 1987, intitula-se I Want to Be a Mathematician.

Em um artigo na revista American Scientist , Halmos defende a matemática como sendo uma arte criativa, e os matemáticos como artistas, não devoradores de números.

Citações Paul Halmos

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„Possibly philosophers would look on us mathematicians the same way as we look on the technicians, if they dared.“

— Paul R. Halmos
Context: Mathematics is not a deductive science — that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork. You want to find out what the facts are, and what you do is in that respect similar to what a laboratory technician does. Possibly philosophers would look on us mathematicians the same way as we look on the technicians, if they dared.

„What does it take to be [a mathematician]?“

— Paul R. Halmos
Context: What does it take to be [a mathematician]? I think I know the answer: you have to be born right, you must continually strive to become perfect, you must love mathematics more than anything else, you must work at it hard and without stop, and you must never give up.

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„The author discusses valueless measures in pointless spaces.“

— Paul R. Halmos
Proposal for a humorous first sentence to a review of a mathematical paper, rejected by editors. <!-- p. 120 -->