I may remark that the curious transformations many formulae can undergo, the unsuspected and to a beginner apparently impossible identity of forms exceedingly dissimilar at first sight, is I think one of the chief difficulties in the early part of mathematical studies. I am often reminded of certain sprites and fairies one reads of, who are at one's elbows in one shape now, and the next minute in a form most dissimilar.
Ada LovelaceRelated topics
certain chief difficulties early form impossible minute next now sightRelated quotes
If the underdog were always right, one might quite easily try to defend him. The trouble is that very often he is but obscurely right, sometimes only partially right, and often quite wrong; but perhaps he is never so altogether wrong and pig-headed and utterly reprehensible as he is represented to be by those who add the possession of prejudices to the other almost insuperable difficulties of understanding him.
Jane Addams
If the sewing societies, the avails of whose industry are now expended in supporting and educating young men for the ministry, were to withdraw their contributions to these objects, and give them where they are more needed, to their advancement of their own sex in useful learning, the next generation might furnish sufficient proof, that in intelligence and ability to master the whole circle of sciences, woman is not inferior to man.
Sarah Grimké
In every science, after having analysed the ideas, expressing the more complicated by means of the more simple, one finds a certain number that cannot be reduced among them, and that one can define no further. These are the primitive ideas of the science; it is necessary to acquire them through experience, or through induction; it is impossible to explain them by deduction.
Giuseppe Peano
When I fall in love, I feel more valuable and I treat myself with more care. We have all observed the hesitant adolescent, uncertain of himself, who, when he or she falls in love, suddenly walks with a certain inner assuredness and confidence, a mien which seems to say, "You are looking at somebody now." ... this inner sense of worth that comes with being in love does not seem to depend essentially on whether the love is returned or not.
Rollo May
What is called music today is all too often only a disguise for the monologue of power. However, and this is the supreme irony of it all, never before have musicians tried so hard to communicate with their audience, and never before has that communication been so deceiving. Music now seems hardly more than a somewhat clumsy excuse for the self-glorification of musicians and the growth of a new industrial sector.
Jacques Attali