"She can't do Subtraction." said the White Queen. "Can you do Division? Divide a loaf by a knife-what's the answer to that?" "I suppose-" Alice was beginning, but the Red Queen answered for her. "Bread-and-butter, of course."
Next came the Patent laws. These began in England in 1624; and, in this country, with the adoption of our constitution. Before then [these?], any man might instantly use what another had invented; so that the inventor had no special advantage from his own invention. The patent system changed this; secured to the inventor, for a limited time, the exclusive use of his invention; and thereby added the fuel of interest to the fire of genius, in the discovery and production of new and useful things.
We come no nearer the infinitude of the creative power of God, if we enclose the space of its revelation within a sphere described with the radius of the Milky Way, than if we were to limit it to a ball an inch in diameter. All that is finite, whatever has limits and a definite relation to unity, is equally far removed from the infinite... Eternity is not sufficient to embrace the manifestations of the Supreme Being, if it is not combined with the infinitude of space.
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.
They assembled together and dedicated these as the first-fruits of their love to Apollo in his Delphic temple, inscribing there those maxims which are on every tongue- 'know thyselP and 'Nothing overmuch.'
Astronomy is a cold, desert science, with all its pompous figures,-depends a little too much on the glass-grinder, too little on the mind. 'T is of no use to show us more planets and systems. We know already what matter is, and more or less of it does not signify.
Since we think we understand when we know the explanation, and there are four types of explanation (one, what it is to be a thing; one, that if certain things hold it is necessary that this does; another, what initiated the change; and fourth, the aim), all these are proved through the middle term.
We are a caring nation, and our values should also guide us on how we harness the gifts of science. New medical breakthroughs bring the hope of cures for terrible diseases and treatments that can improve the lives of millions. Our challenge is to make sure that science serves the cause of humanity instead of the other way around.
Every serious scientific worker is painfully conscious of this involuntary relegation to an ever-narrowing sphere of knowledge, which threatens to deprive the investigator of his broad horizon and degrades him to the level of a mechanic.
The human understanding is moved by those things most which strike and enter the mind simultaneously and suddenly, and so fill the imagination; and then it feigns and supposes all other things to be somehow, though it cannot see how, similar to those few things by which it is surrounded.
The universe is the externisation of the soul. Wherever the life is, that bursts into appearance around it. Our science is sensual, and therefore superficial. The earth, and the heavenly bodies, physics, and chemistry, we sensually treat, as if they were self-existent; but these are the retinue of that Being we have.
There is a reward structure in science that is very interesting: Our highest honors go to those who disprove the findings of the most revered among us. So Einstein is revered not just because he made so many fundamental contributions to science, but because he found an imperfection in the fundamental contribution of Isaac Newton.
One might talk about the sanity of the atom the sanity of space the sanity of the electron the sanity of water- For it is all alive and has something comparable to that which we call sanity in ourselves. The only oneness is the oneness of sanity.
The cigar-box which the European calls a 'lift' needs but to be compared with our elevators to be appreciated. The lift stops to reflect between floors. That is all right in a hearse, but not in elevators. The American elevator acts like a man's patent purge-it works.