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The statesman's task is to hear God's footsteps marching through history, and to try and catch on to His coattails as He marches past.

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Paul Halmos

Mathematics is not a deductive science, that's a cliché. . . What you do is trial and error, experimentation, guesswork.

Cliche, Errors, Math, Mathematics, Trial, Trial And Error
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The only way to learn mathematics is to do mathematics.

Learn, Learning, Math, Mathematics, Way

The best way to learn is to do; the worst way to teach is to talk.

Learn, Mathematics, Way, Worst

The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method.

Education, Knowledge, Math, Mathematics, Texas, Way

Don't just read it; fight it! Ask your own questions, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? Where does the proof use the hypothesis?

Doe, Example, Fighting, Proof, Questions, True

. . . the source of all great mathematics is the special case, the concrete example. It is frequent in mathematics that every instance of a concept of seemingly generality is, in essence, the same as a small and concrete special case.

Case, Essence, Example, Science, Special
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