Frasi di Paul Richard Halmos (9 frasi) | Citazioni e frasi celebri

Paul Richard Halmos: 9 citazioni0 Mi piace

Paul Richard Halmos: Frasi in inglese

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

Origine: I Want to be a Mathematician: An Automathography (1985)
Contesto: 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.

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

Help us translate this quote

Paul R. Halmos

I Want to be a Mathematician: An Automathography (1985)
Contesto: 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.

“Don't just read it; fight it! Ask your own question, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? What happens in the classical special case? What about the degenerate cases? Where does the proof use the hypothesis?”

Help us translate this quote

Paul R. Halmos

I Want to be a Mathematician: An Automathography (1985)

“The author discusses valueless measures in pointless spaces.”

Help us translate this quote

Paul R. Halmos

Proposal for a humorous first sentence to a review of a mathematical paper, rejected by editors.
I Want to be a Mathematician: An Automathography (1985)

“I read once that the true mark of a pro — at anything — is that he understands, loves, and is good at even the drudgery of his profession.”

Help us translate this quote

Paul R. Halmos

I Want to be a Mathematician: An Automathography (1985)

“André Weil suggested that there is a logarithmic law at work: first-rate people attract other first-rate people, but second-rate people tend to hire third-raters, and third-rate people hire fifth-raters. If a dean or a president is genuinely interested in building and maintaining a high-quality university (and some of them are), then he must not grant complete self-determination to a second-rate department; he must, instead, use his administrative powers to intervene and set things right. That's one of the proper functions of deans and presidents, and pity the poor university in which a large proportion of both the faculty and the administration are second-raters; it is doomed to diverge to minus infinity.”

Help us translate this quote

Paul R. Halmos

I Want to be a Mathematician: An Automathography (1985)

“I was too near it then to see how shallow it all was...”

Help us translate this quote

Paul R. Halmos

Origine: I Want to be a Mathematician: An Automathography (1985)