Mathematics is an obscure field, an abstruse science, complicated and exact; yet so many have attained perfection in it that we might conclude almost anyone who seriously applied himself would achieve a measure of success.
What a deep faith in the rationality of the structure of the world and what a longing to understand even a small glimpse of the reason revealed in the world there must have been in Kepler and Newton to enable them to unravel the mechanism of the heavens in long years of lonely work!
While our behavior is still significantly controlled by our genetic inheritance, we have, through our brains, a much richer opportunity to blaze new behavioral and cultural pathways on short timescales.
Next you'd see a raft sliding by, away off yonder, and maybe a galoot on it chopping. . . you'd see the ax flash and come down-you don't hear nothing; you see the ax go up again, and by the time it's above the man's head then you hear the k'chunk!-it had took all that time to come over the water.
Life is girt all round with a zodiac of sciences, the contributions of men who have perished to add their point of light to our sky. ... These road-makers on every hand enrich us. We must extend the area of life and multiply our relations. We are as much gainers by finding a property in the old earth as by acquiring a new planet.
Man is a little germ that lives on an unimportant rock ball that revolves about a small star at the outskirts of an ordinary galaxy. ... I am absolutely amazed to discover myself on this rock ball rotating around a spherical fire. It's a very odd situation. And the more I look at things I cannot get rid of the feeling that existence is quite weird.
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.
But by far the greatest hindrance and aberration of the human understanding proceeds from the dullness, incompetency, and deceptions of the senses; in that things which strike the sense outweigh things which do not immediately strike it, though they be more important. Hence it is that speculation commonly ceases where sight ceases; insomuch that of things invisible there is little or no observation.
All Science is necessarily prophetic, so truly so, that the power of prophecy is the test, the infallible criterion, by which any presumed Science is ascertained to be actually & verily science. The Ptolemaic Astronomy was barely able to prognosticate a lunar eclipse; with Kepler and Newton came Science and Prophecy.
The best thing we're put here for's to see; The strongest thing that's given us to see with's a telescope. Someone in every town, seems to me, owes it to the town to keep one.