A Quote by W. H. Auden
How happy is the lot of the mathematician! He is judged solely by his peers, and the standard is so high that no colleague or rival can ever win a reputation he does not deserve. No cashier writes a letter to the press complaining about the incomprehensibility of Modern Mathematics and comparing it unfavorably with the good old days when mathematicians were content to paper irregularly shaped rooms and fill bathtubs without closing the waste pipe.
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How happy the lot of the mathematician. He is judged solely by his peers, and the standard is so high that no colleague or rival can ever win a reputation he does not deserve.
It is a melancholy experience for a professional mathematician to find himself writing about mathematics. The function of a mathematician is to do something, to prove new theorems, to add to mathematics, and not to talk about what he or other mathematicians have done. Statesmen despise publicists, painters despise art-critics, and physiologists, physicists, or mathematicians have usually similar feelings: there is no scorn more profound, or on the whole more justifiable, than that of the men who make for the men who explain. Exposition, criticism, appreciation, is work for second-rate minds.
Among mathematicians, even in those days, the reputation of being a good Glass Bead Game player meant a great deal; it was equivalent to being a very good mathematician.
I am obliged to interpolate some remarks on a very difficult subject: proof and its importance in mathematics. All physicists, and a good many quite respectable mathematicians, are contemptuous about proof. I have heard Professor Eddington, for example, maintain that proof, as pure mathematicians understand it, is really quite uninteresting and unimportant, and that no one who is really certain that he has found something good should waste his time looking for proof.
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.
A typical mathematician does not actively try to be useful. Individual mathematicians are motivated primarily by a subtle mixture of ambition and intellectual curiosity, and not by a wish to benefit society, nevertheless, mathematics as a whole does benefit society.
The Pope should not flatter himself about his power nor should he rashly glory in his honor and high estate, because the less he is judged by man, the more he is judged by God. Still the less can the Roman Pontiff glory because he can be judged by men, or rather, can be shown to be already judged, if for example he should wither away into heresy; because he who does not believe is already judged, In such a case it should be said of him: 'If salt should lose its savor, it is good for nothing but to be cast out and trampled under foot by men.'
As far as I know, Clifford Pickover is the first mathematician to write a book about areas where math and theology overlap. Are there mathematical proofs of God? Who are the great mathematicians who believed in a deity? Does numerology lead anywhere when applied to sacred literature? Pickover covers these and many other off-trail topics with his usual verve, humor, and clarity. And along the way the reader will learn a great deal of serious mathematics.
Every young man should aim at independence and should prepare himself for a vocation; above all, he should so manage his life that the steps of his progress are taken without improper aids; that he calls no one master, that he does not win or deserve the reputation of being a tool of others, and that if called to public service he may assume its duties with the satisfaction of knowing that he is free to rise to the height of his opportunity.
It is indubitable that a 50-year-old mathematician knows the mathematics he learned at 20 or 30, but has only notions, often rather vague, of the mathematics of his epoch, i.e. the period of time when he is 50.
How can the good God Who loves us so much, be happy when we suffer? Never does our suffering make Him happy; but it is necessary for us, and so He sends it to us while, as it were, turning away His Face. . . I assure you that it costs Him dearly to fill us with bitterness.
Nearly all literature, in one sense, is made up of guide-books. Old ones tell us the ways our fathers went, through the thoroughfares and courts of old; but how few of those former places can their posterity trace, amid avenues of modern erections; to how few is the old guide-book now a clew! Every age makes its own guide-books, and the old ones are used for waste paper.
I don't think that everyone should become a mathematician, but I do believe that many students don't give mathematics a real chance. I did poorly in math for a couple of years in middle school; I was just not interested in thinking about it. I can see that without being excited mathematics can look pointless and cold. The beauty of mathematics only shows itself to more patient followers.
It's not a matter of old or new forms; a person writes without thinking about any forms, he writes because it flows freely from his soul.
Don't tell me to believe. Don't tell me to believe in the same God or laws that men believe in who commit these murders. Don't tell me to believe that God can bless this country and that men are judged by their peers. Who among his peers judged him? Was I there? Was the minister there? Was Harry Williams there? Was Farrell Jarreau? Was my aunt? Was Vivian? No, his peers did not judge him, and I will not believe.
I knew a lot of black scientists, engineers, and mathematicians, and female mathematicians and engineers, women of all backgrounds. So this idea that anyone could be an engineer, a mathematician, or whatever, was something that I had grown up with and thought was really normal.
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