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.
Terence TaoRead
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.
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.
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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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