I know it's a rare privilege, but if one can really tackle something in adult life that means that much to you, then it's more rewarding than anything I can imagine.
Andrew WilesRead
Perhaps I could best describe my experience of doing mathematics in terms of entering a dark mansion. You go into the first room and it's dark, completely dark. You stumble around, bumping into the furniture. Gradually, you learn where each piece of furniture is. And finally, after six months or so, you find the light switch and turn it on. Suddenly, it's all illuminated and you can see exactly where you were. Then you enter the next dark room.
Interpretation
Doing mathematics is a gradual process of understanding that moves from confusion to clarity.
In this quote, Andrew Wiles illustrates the experience of learning mathematics as navigating through dark rooms. Initially, it feels disorienting and challenging as one stumbles through the complexities. However, with persistence and time, clarity emerges, represented by finding the light switch, allowing one to see and comprehend the concepts fully. This analogy emphasizes the value of patience and incremental learning in mastering difficult subjects.
In practice
During a lecture on complex mathematical concepts, one could use this quote to illustrate the learning process.
I know it's a rare privilege, but if one can really tackle something in adult life that means that much to you, then it's more rewarding than anything I can imagine.
Always try the problem that matters most to you.
The definition of a good mathematical problem is the mathematics it generates rather than the problem itself.
Knowledge is not simply another commodity. On the contrary. Knowledge is never used up. It increases by diffusion and grows by dispersion.
A library doesn't need windows. A library is a window.
The most important practical lesson than can be given to nurses is to teach them what to observe.
The best moments in reading are when you come across something - a thought, a feeling, a way of looking at things - which you had thought special and particular to you. And now, here it is, set down by someone else, a person you have never met, someone even who is long dead. And it is as if a hand has come out, and taken yours
American computer science grads often have very little exposure to the human condition. They've rarely had manual labor or service jobs. They grow up in a bubble of privilege lulled into thinking this country is a true meritocracy.
I never saw a useful Christian who was not a student of the Bible. If a man neglects his Bible, he may pray and ask God to use him in His work; but God cannot make much use of him, for there is not much for the Holy Ghost to work upon.
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