The mathematician requires tact and good taste at every step of his work, and he has to learn to trust to his own instinct to distinguish between what is really worthy of his efforts and what is not; he must take care not to be the slave of his symbols, but always to have before his mind the realities which they merely serve to express. For these and other reasons it seems to me of the highest importance that a mathematician should be trained in no narrow school; a wide course of reading in the first few years of his mathematical study cannot fail to influence for good the character of the whole of his subsequent work.
James Whitbread Lee GlaisherRelated topics
care character course fail few good learn mathematician mind narrow reading school serve should slave step study subsequent take taste trust wide work worthy yearsRelated quotes
There are things about organized religion which I resent. Christ is revered as the Prince of Peace, but more blood has been shed in His name than any other figure in history. You show me one step forward in the name of religion and I'll show you a hundred retrogressions. Remember, they were men of God who destroyed the educational treasures at Alexandria, who perpetrated the Inquisition in Spain, who burned the witches at Salem. Over 25,000 organized religions flourish on this planet, but the followers of each think all the others are miserably misguided and probably evil as well.
Frank Sinatra
If... God highly exalted Christ because He humbled Himself, suffered dishonour, was tempted and endured a shameful cross and death for our sake, how will He save, glorify and raise us up if we neither choose humility, nor show love to our fellows, nor gain our souls by enduring temptation (cf. Lk. 21:19), nor follow the saving Guide through the 'strait gate' and along the 'narrow way' leading to eternal life (Mt. 7:14)? To this end we were called, says Peter, the chief Apostle, ' Because Christ also suffered for us, leaving us an example that we should follow His steps' (I Pet. 2:21).
Gregory Palamas
We can now return to the distinction between language and symbolism. A symbol is language and yet not language. A mathematical or logical or any other kind of symbol is invented to serve a purpose purely scientific; it is supposed to have no emotional expressiveness whatever. But when once a particular symbolism has been taken into use and mastered, it reacquires the emotional expressiveness of language proper. Every mathematician knows this. At the same time, the emotions which mathematicians find expressed in their symbols are not emotions in general, they are the peculiar emotions belonging to mathematical thinking.
R. G. Collingwood
In the original discovery of a proposition of practical utility, by deduction from general principles and from experimental data, a complex algebraical investigation is often not merely useful, but indispensable; but in expounding such a proposition as a part of practical science, and applying it to practical purposes, simplicity is of the importance:-and... the more thoroughly a scientific man has studied higher mathematics, the more fully does he become aware of this truth-and... the better qualified does he become to free the exposition and application of principles from mathematical intricacy.
William John Macquorn Rankine
This ideal University of Life ... would never take the importance of culture for granted. It would know that culture is kept alive by a constant respectful questioning-not by an excessive and snobbish attitude of respect. Therefore, rather than leaving it hanging why one was reading Anna Karenina or Madame Bovary, an ideal course covering nineteenth-century literature would ask plainly "What is it that adultery ruins in a marriage?” Students in the ideal University of Life would end up knowing much the same material as their colleagues in other institutions, they would simply have learned it under a very different set of headings.
Alain de Botton