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I remember having this vague idea that what mathematicians did was that some authority, someone, gave them problems to solve, and they just sort of solved them.
Terence Tao
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Interpretation

What this quote means

The quote reflects a common misconception about the nature of mathematical work, emphasizing the autonomy and creativity involved in mathematics.

Terence Tao's quote highlights a prevalent misunderstanding about the role of mathematicians. It suggests that many people believe mathematicians merely receive problems to solve from external authorities, whereas in reality, the practice of mathematics requires a significant amount of creativity, curiosity, and self-driven exploration in order to formulate and tackle new problems.

Themes

MathematicsCreativityProblemsUnderstandingMisconception

In practice

Example use cases

In a lecture about the learning process in math, this quote can illustrate the importance of self-driven problem-solving.

More from Terence Tao

I still remember the realization in college at Flinders University in Australia that mathematics was not just an abstract game of symbols but could be used as a tool to analyze and understand the modern world.
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Most students who take math classes aren't going to be mathematicians. They're going to be engineers, statisticians - in many ways, that's the more important mission of math education.
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For me, I guess the main motivation is the satisfaction of finally understanding some tricky mathematical concept or phenomenon and then explaining it to others.
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One can think of any given axiom system as being like a computer with a certain limited amount of memory or processing power. One could switch to a computer with even more storage, but no matter how large an amount of storage space the computer has, there will still exist some tasks that are beyond its ability.
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I recall being fascinated by numbers even at age three and viewed their manipulation as a kind of game.
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Talent is important, but how one develops and nurtures it is even more so.
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