MATHQUOTES
 

Portrait of Paul Richard Halmos

Paul Richard Halmos

1916–2006

Hungarian mathematician

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, guess-work.

TOPICS: theorems, science

A  good stack of examples, as large as possible, is indispensable for a thorough understanding of any concept, and when I want to learn something new, I make it my first job to build one.

TOPICS: learning, examples

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