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
If I experiment enough, I get a deeper understanding.
Interpretation
Experimentation leads to deeper understanding and knowledge.
This quote by Terence Tao highlights the importance of experimentation in the pursuit of knowledge. It suggests that through trial and error, one can gain profound insights and a more thorough comprehension of complex concepts, illustrating how active engagement in learning enhances our understanding.
In practice
This quote can be shared during a science workshop to emphasize the value of hands-on experiments.
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.
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.
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.
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.
I recall being fascinated by numbers even at age three and viewed their manipulation as a kind of game.
Talent is important, but how one develops and nurtures it is even more so.
No man has a good enough memory to be a successful liar.
Doubt is a pain too lonely to know that faith is his twin brother.
All good qualities must be sown and cultivated. We canβt expect to change overnight from an ordinary person into one with high realizations.
Self-acceptance is my refusal to be in an adversarial relationship to myself.
Eventually we all have to accept full and total responsibility for our actions, everything we have done, and have not done.
There is something wonderfully bold and liberating about saying yes to our entire imperfect and messy life.
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