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
There might be a hidden structure in pi that we simply haven't discovered.
Interpretation
What this quote means
The quote suggests that pi may hold unknown patterns or structures yet to be uncovered.
This quote by Terence Tao reflects the idea that even established mathematical constants like pi can have layers of complexity that are not fully understood. It encourages the pursuit of deeper knowledge and exploration in mathematics, as there could be significant discoveries waiting to be made within familiar concepts.
Themes
PiMathematicsDiscoveryPatternsExploration
In practice
Example use cases
This quote could be used in a mathematics lecture to inspire students about the complexities of mathematical constants.
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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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