The Advantage is that mathematics is a field in which one's blunders tend to show very clearly and can be corrected or erased with a stroke of the pencil. It is a field which has often been compared with chess, but differs from the latter in that it is only one's best moments that count and not one's worst. A single inattention may lose a chess game, whereas a single successful approach to a problem, among many which have been relegated to the wastebasket, will make a mathematician's reputation.
Interpretation
Mathematics allows for clear identification and correction of mistakes, unlike chess where a single error can lead to defeat.
In this quote, Norbert Wiener highlights the unique nature of mathematics as a discipline where errors can be easily corrected, signifying an important aspect of learning and improvement. Unlike chess, where one misstep can determine the outcome of a game, mathematics encourages a focus on successful solutions over failures, emphasizing the value of persistence and the clarity with which mistakes can be rectified in problem-solving.
In practice
During a mathematics class, the teacher emphasizes the importance of learning from mistakes.
In a very real sense, we are shipwrecked passengers on a doomed planet. Yet, even in a shipwreck, human decencies and human values do not necessarily vanish, and we must make the most of them. We shall go down, but let it be in a manner to which we may look forward as worthy of our dignity.
I have said that the modern man, and especially the modern American, however much 'know-how' he may have, has very little 'know-what'
Any labor which competes with slave labor must accept the economic conditions of slave labor.
We have modified our environment so radically that we must now modify ourselves to exist in this new environment.
We are but whirlpools in a river of ever-flowing water. We are not stuff that abides, but patterns that perpetuate themselves. _x000D_ A pattern is a message, and may be transmitted as a message.
Let us remember that the automatic machine is the precise economic equivalent of slave labor. Any labor which competes with slave labor must accept the economic consequences of slave labor.
I always tell people there's only one trick to writing: You have to write something that people are willing to pay money to read. It doesn't have to be very good, necessarily, but somebody, somewhere, has got to be willing to pay money for it.
History is the most aristocratic of all literary pursuits, because it obliges the historian to be rich as well as educated.
It's the way I study - to understand something by trying to work it out or, in other words, to understand something by creating it. Not creating it one hundred percent, of course; but taking a hint as to which direction to go but not remembering the details. These you work out for yourself.
When you write what you know, you stay in control. One of the first things I encourage my writing students to do is to lose control - say what they want to say, break structure.
The books which help you most are those which make you think the most. The hardest way of learning is by easy reading; every man that tries it finds it so. But a great book that comes from a great thinker, β it is a ship of thought, deep freighted with truth, with beauty too.
Part of my job as Children's Laureate is to visit schools and talk about my love of books and stories and encourage them all to do it as well - to read, to write, to never be afraid of their own voice. Because we all have something to say.
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