Quotes About Careful Thinking

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Quotes About Careful Thinking

This splendid subject [mathematics], queen of all exact sciences, and the ideal and norm of all careful thinking ...
— G. Stanley Hall —

One cannot always know what children are thinking. Children are hard to understand, especially when careful training has accustomed them to obedience, and experience has made them cautious in their conversation with their teachers. Will you not draw from this the fine maxim that one should not scold children too much, but should make them trustful, so that they will not conceal their stupidities from us?

— Catherine The Great

The myth that if you don't start early, you might as well not start, tends to be a self-fulfilling prophecy. The music-making world that young people confront reminds me a lot of the world of school sports. After a lot of weeding out, in the end you've got a varsity with a few performers and an awful lot of people on the sidelines thinking, "Gee, it's too bad I wasn't good enough." We need to be careful about that. There seems to be an unspoken idea, in instruction of the young, that the people who start the fastest will go the farthest. But that's not only an unproven theory; it's not even a tested theory. The assumption that the steeper the learning curve, the higher it will go, is also unfounded. If we did things a little differently, we might find out that people whose learning curves were much slower might later on go up just as high or higher.

— John Holt

The photographer from the magazine, Masao Kageyama, would ride along in the van that accompanied me. He'd take pictures as they drove along. It wasn't a real race, and there weren't any water stations, so I'd occasionally stop to get water from the van. The Greek summer is truly brutal, and I knew I'd have to be careful not to get dehydrated.
"Mr. Murakami," Mr. Kageyama said, surprised as he saw me getting ready to run, "you're not really thinking of running the whole route, are you?"
"Of course I am. That's why I came here."
"Really? But when we do these kinds of projects most people don't go all the way. We just take some photos, and most of them don't finish the whole route. So you really are going to run the
entire thing?"
Sometimes the world baffles me. I can't believe that people would really do things like that.

— Haruki Murakami

As the physically weak man can make himself strong by careful and patient training, so the man of weak thoughts can make them strong by exercising himself in right thinking.

— James Allen

This splendid subject [mathematics], queen of all exact sciences, and the ideal and norm of all careful thinking ...

— G. Stanley Hall

This may not be the path for everyone. But the trust of which we speak is not an act of heroism. it is an act of surrender that makes the decision easier. It sounds unbelieveable, but I know it to be true. Leave the decision to God and you relieve yourself of the anxiety that comes from thinking that the choice is yours - the sneaking suspicion that you might have done better had you been a little more careful, a little luckier.

— William McGurn

Mathematicians can and do fill in gaps, correct errors, and supply more detail and more careful scholarship when they are called on or motivated to do so. Our system is quite good at producing reliable theorems that can be solidly backed up. It's just that the reliability does not primarily come from mathematicians formally checking formal arguments; it comes from mathematicians thinking carefully and critically about mathematical ideas.

— William Thurston

Writing, for me, is a little like wood carving. You find the lump of tree (the big central theme that gets you started), and you start cutting the shape that you think you want it to be. But you find, if you do it right, that the wood has a grain of its own (characters develop and present new insights, concentrated thinking about the story opens new avenues). If you're sensible, you work with the grain and, if you come across a knot hole, you incorporate that into the design. This is not the same as 'making it up as you go along'; it's a very careful process of control.

— Terry Pratchett

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