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.
I'd like the [Cosmos] series to be so visually stimulating that somebody who isn't even interested in the concepts will just watch for the effects. And I'd like people who are prepared to do some thinking to be really stimulated.
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.
In all things which have a plurality of parts, and which are not a total aggregate but a whole of some sort distinct from the parts, there is some cause.
If someone separated the art of counting and measuring and weighing from all the other arts, what was left of each (of the others) would be, so to speak, insignificant.
For it is the same whether you take it that the Earth is in motion or the Sky. For, in both the cases, it does not affect the Astronomical Science. It is just for the Physicist to see if it is possible to refute it.
The End of our Foundation is the knowledge of Causes; and secret motions of things; and the enlarging of the bounds of Human Empire, to the effecting of all things possible.
Species do not grow more perfect: the weaker dominate the strong, again and again- the reason being that they are the great majority, and they are also cleverer. Darwin forgot the mind (-that is English!): the weak possess more mind. ... To acquire mind, one must need mind-one loses it when one no longer needs it.
[There is] one distinctly human thing - the story. There can be as good science about a turnip as about a man. ... [Or philosophy, or theology] ...There can be, without any question at all, as good higher mathematics about a turnip as about a man. But I do not think, though I speak in a manner somewhat tentative, that there could be as good a novel written about a turnip as a man.
Therefore the moon, the governess of floods,
Pale in her anger washes all the air,
That rheumatic diseases do abound;
And through this distemperature we see
The seasons alter: hoary-headed frosts
Fall in the fresh lap of the crimson rose.
We live in a glass-soaked civilization, but as for the bird in the Chinese proverb who finds it so difficult to discover air, the substance is almost invisible to us. To use a metaphor drawn from glass, it may be revealing for us to re-focus, to stop looking through glass, and let our eyes dwell on it for a moment to contemplate its wonder.
When I was fourteen years old, I was amazed at how unintelligent my father was. By the time I turned twenty-one, I was astounded how much he had learned in the last seven years.
Herschel removed the speckled tent-roof from the world and exposed the immeasurable deeps of space, dim-flecked with fleets of colossal suns sailing their billion-leagued remoteness.
When Newton saw an apple fall, he found In that slight startle from his contemplation- 'Tis said (for I'll not answer above ground For any sage's creed or calculation)- A mode of proving that the earth turn'd round In a most natural whirl, called 'gravitation'; And this is the sole mortal who could grapple, Since Adam, with a fall, or with an apple.
The lessons of science should be experimental also. The sight of a planet through a telescope is worth all the course on astronomy; the shock of the electric spark in the elbow outvalues all theories; the taste of the nitrous oxide, the firing of an artificial volcano, are better than volumes of chemistry.
I have been scientifically studying the traits and dispositions of the "lower animals" (so-called,) and contrasting them with the traits and dispositions of man. I find the result profoundly humiliating to me. For it obliges me to renounce my allegiance to the Darwinian theory of the Ascent of Man from the Lower Animals; since it now seems plain to me that that theory ought to be vacated in favor of a new and truer one, this new and truer one to be named the Descent of Man from the Higher Animals.