A Quote by Carroll Quigley

I came into history from a primary concern with mathematics and science. This has been a tremendous help to me as a person and as a historian, although it must be admitted it has served to make my historical interpretations less conventional than may be acceptable of many of my colleagues in the field.
Compare mathematics and the political sciences - it's quite striking. In mathematics, in physics, people are concerned with what you say, not with your certification. But in order to speak about social reality, you must have the proper credentials, particularly if you depart from the accepted framework of thinking. Generally speaking, it seems fair to say that the richer the intellectual substance of a field, the less there is a concern for credentials, and the greater is the concern for content.
As you can imagine, over the years I have been asked many times to discuss and explain my song "American Pie." I have never discussed the lyrics, but have admitted to the Holly reference in the opening stanzas. You will find many interpretations of my lyrics but none of them by me. You will find many “interpretations” of my lyrics but none of them by me. Isn’t this fun? Sorry to leave you all on your own like this but long ago I realized that songwriters should make their statements and move on, maintaining a dignified silence.
The subject for which I am asking your attention deals with the foundations of mathematics. To understand the development of the opposing theories existing in this field one must first gain a clear understnding of the concept "science"; for it is as a part of science that mathematics originally took its place in human thought.
Hardly a pure science, history is closer to animal husbandry than it is to mathematics in that it involves selective breeding. The principal difference between the husbandryman and the historian is that the former breeds sheep or cows or such and the latter breeds (assumed) facts. The husbandryman uses his skills to enrich the future, the historian uses his to enrich the past. Both are usually up to their ankles in bullshit.
Srinivasa Ramanujan was the strangest man in all of mathematics, probably in the entire history of science. He has been compared to a bursting supernova, illuminating the darkest, most profound corners of mathematics, before being tragically struck down by tuberculosis at the age of 33, like Riemann before him. Working in total isolation from the main currents of his field, he was able to rederive 100 years' worth of Western mathematics on his own. The tragedy of his life is that much of his work was wasted rediscovering known mathematics.
To be a science fiction writer you must be interested in the future and you must feel that the future will be different and hopefully better than the present. Although I know that most - that many science fiction writings have been anti-utopias. And the reason for that is that it's much easier and more exciting to write about a really nasty future than a - placid, peaceful one.
The main duty of the historian of mathematics, as well as his fondest privilege, is to explain the humanity of mathematics, to illustrate its greatness, beauty and dignity, and to describe how the incessant efforts and accumulated genius of many generations have built up that magnificent monument, the object of our most legitimate pride as men, and of our wonder, humility and thankfulness, as individuals. The study of the history of mathematics will not make better mathematicians but gentler ones, it will enrich their minds, mellow their hearts, and bring out their finer qualities.
History has to judge every man who served. I don't know how they're going to treat me. I may be the worst S.O.B. that ever came down the pike. But I won't lose any sleep over it. I just like to be remembered as an honest person who tried.
Did any great genius ever enter the world in the wake of commonplace pre-natal conditions? Was a maker of history ever born amidst the pleasant harmonies of a satisfied domesticity? Of a mother who was less than remarkable, although she may have escaped being great? Did a woman with no wildness in her blood ever inform a brain with electric fire? The students of history know that while many mothers of great men have been virtuous, none have been commonplace, and few have been happy.
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.
Mathematics has two faces: it is the rigorous science of Euclid, but it is also something else. Mathematics presented in the Euclidean way appears as a systematic, deductive science; but mathematics in the making appears as an experimental, inductive science. Both aspects are as old as the science of mathematics itself.
On all levels primary, and secondary and undergraduate - mathematics is taught as an isolated subject with few, if any, ties to the real world. To students, mathematics appears to deal almost entirely with things whlch are of no concern at all to man.
Everyone in the astronaut program has a degree in a science field. The crew are the ones who do the experiments, help to design some of the experiments that come from other primary researchers. So it becomes very important that you have a science background.
...We may encounter many defeats, but we must not be defeated. That sounds goody two-shoes, I know, but I believe that a diamond is the result of extreme pressure and time. Less time is crystal. Less than that is coal. Less than that is fossilized leaves. Less than that it's just plain dirt. In all my work, in the movies I write, the lyrics the poetry, the prose, the essays, I am saying that we may encounter many defeats - maybe it's imperative that we encounter the defeats - but we are much stronger than we appear to be and maybe much better than we allow ourselves to be.
After two years of undergraduate study, it was clear that I was bored by the regime of problem-solving required by the Cambridge mathematical tripos. A very sensitive mathematics don recommended that I talk to the historian of astronomy, Michael Hoskin, and the conversation led me to enroll in the History and Philosophy of Science for my final undergraduate year.
One may say that mathematics talks about the things which are of no concern to men. Mathematics has the inhuman quality of starlight - brilliant, sharp but cold ... thus we are clearest where knowledge matters least: in mathematics, especially number theory.
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