Newton... (after having remarked that geometry only requires two of the mechanical actions which it postulates, namely, to describe a straight line and a circle) says: geometry is proud of being able to achieve so much while taking so little from extraneous sources. One might say of metaphysics, on the other hand: it stands astonished, that with so much offered it by pure mathematics it can effect so little.
Immanuel KantRelated topics
able geometry having line mathematics might metaphysics pure straight taking while newtonRelated quotes
Even when a person suffers pain in consequence of a thorn having entered into his hand, although it is at once drawn out, it is a punishment that has been inflicted on him, and the least pleasure he enjoys is a reward; all this is meted out by strict justice; as is said in the Scripture, "all His ways are judgement" (Deut. xxxii. 4); we are only ignorant of the working of that judgement.
Maimonides
It is exceptional that one should be able to acquire the understanding of a process without having previously acquired a deep familiarity with running it, with using it, before one has assimilated it in an instinctive and empirical way... Thus any discussion of the nature of intellectual effort in any field is difficult, unless it presupposes an easy, routine familiarity with that field. In mathematics this limitation becomes very severe.
John von Neumann
In old days there were angels who came and took men by the hand and led them away from the city of destruction. We see no white-winged angels now. But yet men are led away from threatening destruction a hand is put into theirs, which leads them forth gently towards a calm and bright land, so that they look no more backward and the hand may be a little child's.
George Eliot
Reporter: How many people who labor in the same musical vineyard in which you toil - how many are protest singers? That is, people who use their music, and use the songs to protest the, uh, social state in which we live today: the matter of war, the matter of crime, or whatever it might be.
Bob Dylan: Uh, I think there's about, uh...136.
Reporter: You say about 136, or you mean exactly 136?
Bob Dylan: Uh, it's either 136 or 142.
Bob Dylan
Yes, the universe had a beginning. Yes, the universe continues to evolve. And yes, every one of our body's atoms is traceable to the big bang and to the thermonuclear furnace within high-mass stars. We are not simply in the universe, we are part of it. We are born from it. One might even say we have been empowered by the universe to figure itself out - and we have only just begun.
Neil deGrasse Tyson