I claim that many patterns of Nature are so irregular and fragmented, that, compared with Euclid - a term used in this work to denote all of standard geometry - Nature exhibits not simply a higher degree but an altogether different level of complexity ... The existence of these patterns challenges us to study these forms that Euclid leaves aside as being "formless," to investigate the morphology of the "amorphous."
Benoît MandelbrotRelated topics
aside claim complexity degree different euclid geometry leaves morphology nature study work higherRelated quotes
There is no gene "for” such unambiguous bits of morphology as your left kneecap or your fingernail. [...] Hundreds of genes contribute to the building of most body parts and their action is channeled through a kaleidoscopic series of environmental influences: embryonic and postnatal, internal and external. Parts are not translated genes, and selection doesn't even work directly on parts.
Stephen Jay Gould
So, ultimately, in order to understand nature it may be necessary to have a deeper understanding of mathematical relationships. But the real reason is that the subject is enjoyable, and although we humans cut nature up in different ways, and we have different courses in different departments, such compartmentalization is really artificial, and we should take our intellectual pleasures where we find them.
Richard Feynman
Like running hurdles. Work so hard, jump over every one, fast, high enough but no higher, because you can't afford to hang in the air. And then, when the race is over, you're dripping with sweat, either they beat you or you beat them... and then a couple of guys come out and move the hurdles out of the way. Turns out they were nothing. All that work to jump over them, but now they're gone.
Orson Scott Card
A teacher who can show good, or indeed astounding results while he is teaching, is still not on that account a good teacher, for it may be that, while his pupils are under his immediate influence, he raises them to a level which is not natural to them, without developing their own capacities for work at this level, so that they immediately decline again once the teacher leaves the schoolroom.
Ludwig Wittgenstein
And in these foure things, Opinion of Ghosts, Ignorance of second causes, Devotion towards what men fear, and Taking of things Casuall for Prognostics, consisteth the Natural seed of Religion; which by reason of the different Fancies, Judgements, and Passions of severall men, hath grown up into ceremonies so different, that those which are used by one man, are for the most part ridiculous to another.
Thomas Hobbes