Would you like to know, for instance, to what extent higher mathematics is used in our two great industries? Well, it is never used at all. Having found this to be the case in my own experience, after quite a long career, I wondered whether I was not an exception; so I made enquiries, and I found that it was a general rule that neither engineers nor managers used higher mathematics in carrying out their duties. We must, of course, learn mathematics that goes without saying but the question is how much must we learn? Up to the present this point has nearly always been decided simply by professors, but it seems to me to be a question in which professors do not count very much, and in which they count less as they become more learned and more devoted to their work. They would like to pass on all their scientific knowledge and they find that their pupils always leave them too soon.
Henri FayolRelated topics
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It is not true, out of geometry, that the mathematical sciences are, in all their parts those models of finished accuracy which many suppose. The extreme boundaries of analysis have always been as imperfectly understood as the tract beyond the boundaries was absolutely unknown. But the way to enlarge the settled country has not been by keeping within it, but by making voyages of discovery, and I am perfectly convinced that the student should be exercised in this manner; that is, that he should be taught how to examine the boundary, as well as how to cultivate the interior. ...allowing all students whose capacity will let them read on the higher branches of applied mathematics, to have each his chance of being led to the cultivation of those parts of analysis on which rather depends its future progress than its present use in the sciences of matter.
Augustus De Morgan
The unremitting division of labour resulted in admirable levels of productivity. The company's success appeared to bear out the principles of efficiency laid down at the turn of the twentieth century by the Italian economist Vilfredo Pareto, who theorized that a society would grow wealthy to the extent that its members forfeited general knowledge in favour of fostering individual ability in narrowly constricted fields. In an ideal Paretan economy, jobs would be ever more finely subdivided to allow for the accumulation of complex skills, which would then be traded among workers. ... But however great the economic advantages of segmenting the elements of an afternoon's work into a range of forty-year-long careers, there was reason to wonder about the unintended side effects of doing so. In particular, one felt tempted to ask ... how meaningful the lives might feel as a result.
Alain de Botton
the most remarkable piece of reading that you may be recommended to take and try if you can study is a book by Goethe-one of his last books, which he wrote when he was an old man, about seventy years of age-I think one of the most beautiful he ever wrote, full of mild wisdom, and which is found to be very touching by those who have eyes to discern and hearts to feel it. It is one of the pieces in "Wilhelm Meister's Travels." I read it through many years ago; and, of course, I had to read into it very hard when I was translating it (applause), and it has always dwelt in my mind as about the most remarkable bit of writing that I have known to be executed in these late centuries. I have often said, there are ten pages of that which, if ambition had been my only rule, I would rather have written than have written all the books that have appeared since I came into the world.
Thomas Carlyle
I reproach myself for a gross error. But I would reproach myself more if I had persisted in an error after observations revealed it clearly to be that. I made a deal of money in the late 1940s on the bull side, ignoring Satchel Paige's advice to Lot's wife, "Never look back.” Rather I would advocate Samuelson's Law: "Always look back. You may learn something from your residuals. Usually one's forecasts are not so good as one remembers them; the difference may be instructive.” The dictum "If you must forecast, forecast often,” is neither a joke nor a confession of impotence. It is a recognition of the primacy of brute fact over pretty theory. That part of the future that cannot be related to the present's past is precisely what science cannot hope to capture. Fortunately, there is plenty of work for science to do, plenty of scientific tasks not yet done.
Paul Samuelson
If Christ were to walk in this world today, do you know what would happen to Him? He would be placed in a mental institution and given psycho-therapy, just as would His Saints. The world would crucify Him today just as it did 2000 years ago, for the world has not learned a thing, except more devious forms of hypocrisy. And what would happen if, in one of my classes at the university, I would one day tell my students that all the learning of this world is of no importance beside the duty of worshipping God, accepting the God-man who died for our sins, and preparing for the life of the world to come? They would probably laugh at me, and the university officials, if they found out, would fire me-for it is against the law to preach the Truth in our universities. We say that we live in a Christian society, but we do not: we live in a society.
Seraphim Rose