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Paul Halmos

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What does it take to be [a mathematician]? I think I know the answer: you have to be born right, you must continually strive to become perfect, you must love mathematics more than anything else, you must work at it hard and without stop, and you must never give up.

 
Paul Halmos

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Mathematics is too arduous and uninviting a field to appeal to those to whom it does not give great rewards. These rewards are of exactly the same character as those of the artist. To see a difficult uncompromising material take living shape and meaning is to be Pygmalion, whether the material is stone or hard, stonelike logic. To see meaning and understanding come where there has been no meaning and no understanding is to share the work of a demiurge. No amount of technical correctness and no amount of labour can replace this creative moment, whether in the life of a mathematician or of a painter or musician. Bound up with it is a judgement of values, quite parallel to the judgement of values that belongs to the painter or the musician. Neither the artist nor the mathematician may be able to tell you what constitutes the difference between a significant piece of work and an inflated trifle; but if he is not able to recognise this in his own heart, he is no artist and no mathematician.

 
Norbert Wiener
 

It seems to be one of the fundamental features of nature that fundamental physical laws are described in terms of a mathematical theory of great beauty and power, needing quite a high standard of mathematics for one to understand it. You may wonder: Why is nature constructed along these lines? One can only answer that our present knowledge seems to show that nature is so constructed. We simply have to accept it. One could perhaps describe the situation by saying that God is a mathematician of a very high order, and He used very advanced mathematics in constructing the universe.

 
Paul Dirac
 

One could perhaps describe the situation by saying that God is a mathematician of a very high order, and He used very advanced mathematics in constructing the universe. Our feeble attempts at mathematics enable us to understand a bit of the universe, and as we proceed to develop higher and higher mathematics we can hope to understand the universe better.

 
Paul Dirac
 

Morbid? You make me laugh. This life I write and draw and portray is life as it is, and therefore you call it morbid. Look at my life. Look at the life around me. Where is this beauty that I am supposed to miss? The nice episodes that others depict? Is not everything morbid? I mean the life of people stripped of their masks. Where are the relieving features? Often I sit down to work at my drawing board, at my typewriter. All of a sudden my joy is gone. I feel tired of it all because, I think, "What's the use?" Today we are, tomorrow dead. We are born and don't know why. We live and suffer and strive, envious or envied. We love, we hate, we work, we admire, we despise. ... Why? And we die, and no one will ever know that we have been born.

 
Djuna Barnes
 

I know lots of people like Albert. I might be like him myself. He was a hopeless romantic, he lived on anticipation. He was always yearning for the next thing. He was always envisioning some wonderful life with somebody else, while grimly enduring life with the woman he was with. If I think about it, I would say that that was kind of the key to his psychology, that he had the lure of the perfect situation, the perfect person. Of course if you're Einstein, you want everything that you want your way and then you want to be left alone. So you want love, and you want affection, you want a good meal, but then you don't want any interference outside of that, so you don't want any obligations interfering with your life, with your work. Which is a difficult stance to maintain in an adult relationship; it doesn't work. Everything has to be a give and take.
Einstein always felt Paradise was just around the corner, but as soon as he got there, it started looking a little shabby and something better appeared. I've known a lot of people like Albert in my time, I have felt lots of shocks of recognition. I feel like I got to know Albert as a person in the course of this, and I have more respect for him as a physicist than I did when I started, I have more a sense of what he accomplished and how hard it really was to be Einstein than I did before. It's a great relief to be able to think of him as a real person. If he was around I'd love to buy him a beer ..... but I don't know if I'd introduce him to my sister.

 
Dennis Overbye
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