Top 2 Paul R. Halmos Quotes (2025 Update)

1. “Mathematics is not a deductive science – that’s a cliche. 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.”

— Paul R. Halmos

2. “A good stock 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.”

— Paul R. Halmos

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