The best that Gauss has given us was likewise an exclusive production. If he had not created his geometry of surfaces, which served Riemann as a basis, it is scarcely conceivable that anyone else would have discovered it. I do not hesitate to confess that to a certain extent a similar pleasure may be found by absorbing ourselves in questions of pure geometry.
For nature by the same cause, provided it remain in the same condition, always produces the same effect, so that either coming-to-be or passing-away will always result.
What opposite discoveries we have seen! (Signs of true genius, and of empty pockets.) One makes new noses, one a guillotine, One breaks your bones, one sets them in their sockets; But vaccination certainly has been A kind antithesis to Congreve's rockets.
Modern science is necessarily a double-edged tool, a tool that cuts both ways. ... There is no doubt that a Zeppelin is a wonderful thing; but that did not prevent it from becoming a horrible thing.
...we are all inclined to ... direct our inquiry not by the matter itself, but by the views of our opponents; and, even when interrogating oneself, one pushes the inquiry only to the point at which one can no longer offer any opposition. Hence a good inquirer will be one who is ready in bringing forward the objections proper to the genus, and that he will be when he has gained an understanding of the differences.
One should not understand this compulsion to construct concepts, species, forms, purposes, laws ('a world of identical cases') as if they enabled us to fix the real world; but as a compulsion to arrange a world for ourselves in which our existence is made possible:-we thereby create a world which is calculable, simplified, comprehensible, etc., for us.
The great pagan world of which Egypt and Greece were the last living termsonce had a vast and perhaps perfect science of itsown, a science in terms of life. In our era this science crumbled into magic and charlatanry. But even wisdom crumbles.
There's nothing situate under heaven's eye But hath his bond in earth, in sea, in sky. The beasts, the fishes, and the winged fowls Are their males' subjects and at their controls. Man, more divine, the master of all these, Lord of the wide world and wild wat'ry seas, Indu'd with intellectual sense and souls, Of more pre-eminence than fish and fowls, Are masters to their females, and their lords; Then let your will attend on their accords.