introduction to De Curvis Elasticis, Additamentum I to his Methodus Inveniendi Lineas Curvas Maximi Minimive Proprietate Gaudentes 1744; translated on pg10-11, "Leonhard Euler's Elastic Curves" https://www.dropbox.com/s/o09w82abgtftpfr/1933-oldfather.pdf, Oldfather et al 1933
Context: All the greatest mathematicians have long since recognized that the method presented in this book is not only extremely useful in analysis, but that it also contributes greatly to the solution of physical problems. For since the fabric of the universe is most perfect, and is the work of a most wise Creator, nothing whatsoever takes place in the universe in which some relation of maximum and minimum does not appear. Wherefore there is absolutely no doubt that every effect in the universe can be explained as satisfactorily from final causes, by the aid of the method of maxima and minima, as it can from the effective causes themselves. Now there exist on every hand such notable instances of this fact, that, in order to prove its truth, we have no need at all of a number of examples; nay rather one's task should be this, namely, in any field of Natural Science whatsoever to study that quantity which takes on a maximum or a minimum value, an occupation that seems to belong to philosophy rather than to mathematics. Since, therefore, two methods of studying effects in Nature lie open to us, one by means of effective causes, which is commonly called the direct method, the other by means of final causes, the mathematician uses each with equal success. Of course, when the effective causes are too obscure, but the final causes are more readily ascertained, the problem is commonly solved by the indirect method; on the contrary, however, the direct method is employed whenever it is possible to determine the effect from the effective causes. But one ought to make a special effort to see that both ways of approach to the solution of the problem be laid open; for thus not only is one solution greatly strengthened by the other, but, more than that, from the agreement between the two solutions we secure the very highest satisfaction.
“Christendom, as an effect, must be accounted for. It is too large for a mortal cause.”
Source: Dictionary of Burning Words of Brilliant Writers (1895), P. 135.
Help us to complete the source, original and additional information
Frederic Dan Huntington 8
American bishop 1819–1904Related quotes
Source: 1962, Address and Question and Answer Period at the Economic Club of New York
The Art of Magic (1891)
Context: No one regards the magician today as other than an ordinary man gifted with no extraordinary powers. The spectators come, not to be impressed with awe, but fully aware that his causes and effects are natural. They come rather as a guessing committee, to spy out the methods with which he mystifies. Hundreds of eyes are upon him. Men with more knowledge of the sciences than he come to trip and expose him, and to baffle their scrutiny is the study of his life. Long years of training and exercise alone will not make a magician. … There must be some natural aptitude for the art; it must be born in a man, and can never be acquired by rule. He must be alert both in body and in mind; cool and calculating to the movement of a muscle under all circumstances; a close student of men and human nature. To these qualifications he must add the rather incongruous quality of a mind turning on contradictions. With a scientific cause he must produce a seemingly opposite effect to that warranted by order and system.
I know of no life requiring such a series of opposite qualities as the magician's. And after the exercise of all these qualities I have named, resulting in the production of the most startling and novel results, the magician has not the satisfaction, like other men, of the enjoyment of his own product. He must be prepared to see it copied by others, or after a short time discovered by the public.
“Mortal danger is an effective antidote for fixed ideas.”
Variant: Mortal danger is an effective antidote for fixed ideas.
Source: The Rommel Papers (1953), Ch. XI : The Initiative Passes, p. 244.
Jesus, Jews and the Shoah: A Moral Reckoning by Daniel Jonah Goldhagen (2003)
[A Conversation with Charlie Munger, Ross School of Business, YouTube, March 22, 2011, https://www.youtube.com/watch?v=Pph3Bg8Pihg] (quote at 23:30 of 1:59:58)