A Quote by Israel Nathan Herstein

Very often in mathematics the crucial problem is to recognize and discover what are the relevant concepts; once this is accomplished the job may be more than half done. — © Israel Nathan Herstein
Very often in mathematics the crucial problem is to recognize and discover what are the relevant concepts; once this is accomplished the job may be more than half done.
The most important step in getting a job done is the recognition of the problem. Once I recognize a problem I usually can think of someone who can work it out better than I could.
Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.
I view all art as an effort to translate brain concepts into a work. These brain concepts are synthetic ones - the result of many experiences. But a single work of art, or even a series of works, more often than not cannot translate these synthetic concepts adequately. Yves Saint Laurent once said that he suffered greatly when creating. He is not alone in that. Most artists do the same and say as much.
For though we may be the Earth's gardeners, we are also its weeds. And we won't get anywhere until we come to terms with this crucial ambiguity about our role - that we are at once the problem and the only possible solution to the problem.
Studios are often very nervous of things they don't recognize, by which I mean things that haven't been done before, and therefore, they take a really original idea, and they recognize the originality, and then they try and make it look like something they recognize. So they try to turn it into something far more procedural.
Very often a job will come along that speaks to the place you're in as a person at that very moment. And usually once I've done it I feel like that part is over.
The fact is, I am in my third marriage and I do not believe in divorce. But I was half the problem, I guarantee you. More than half the problem. I couldn't negotiate with the other women.
No problem is more crucial for a naturalistic view of the world than the mind-body problem.
Outside observers often assume that the more complicted a piece of mathematics is, the more mathematicians admire it. Nothing could be further from the truth. Mathematicians admire elegance and simplicity above all else, and the ultimate goal in solving a problem is to find the method that does the job in the most efficient manner. Though the major accolades are given to the individual who solves a particular problem first, credit (and gratitude) always goes to those who subsequently find a simpler solution.
Mastery is an elusive concept. You never know when you achieve it absolutely and it may not help you to feel you've attained it. We can recognize it more readily in others than we can in ourselves. We have to discover our own definition of it.
No man can instruct more than half-a-dozen students at once. The whole problem of education is one of its cost in money.
More often than not, the belief that you are bad contributes to the "bad" behavior. Change and learning occur most readily when you (a) recognize that an error has occurred and (b) develop a strategy for correcting the problem. An attitude of self-love and relaxation facilitates this, whereas guilt often interferes.
You may include things you believe to be crucial in a design, but those elements are often only crucial to you.
To me, the costume does half the job for you, or even more than half of the job.
The friends of Job appear on the scene as advisers and "consolers," offering Job the fruits of their moral scientia. But when Job insists that his sufferings have no explanation and that he cannot discover the reason for them through conventional ethical concepts, his friends turn into accusers, and curse Job as a sinner. Thus, instead of consolers, they become torturers by virtue of their very morality, and in so doing, while claiming to be advocates of God, they act as instruments of the devil.
What is to be done? We who are still half alive, living in the often fibrillating heartland of a senescent capitalism -- can we do more than reflect the decay around and within us? Can we do more than sing our sad and bitter songs of disillusion and defeat?
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