A Quote by Charles Lyell
When the aggregate amount of solid matter transported by rivers in a given number of centuries from a large continent, shall be reduced to arithmetical computation, the result will appear most astonishing to those...not in the habit of reflecting how many of the mightiest of operations in nature are effected insensibly, without noise or disorder.
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While, on the one hand, the end of scientific investigation is the discovery of laws, on the other, science will have reached its highest goal when it shall have reduced ultimate laws to one or two, the necessity of which lies outside the sphere of our cognition. These ultimate laws-in the domain of physical science at least-will be the dynamical laws of the relations of matter to number, space, and time. The ultimate data will be number, matter, space, and time themselves. When these relations shall be known, all physical phenomena will be a branch of pure mathematics.
What can be accomplished by a few principles is not effected by many. But it seems that everything we see in the world can be accounted for by other principles, supposing God did not exist. For all natural things can be reduced to one principle, which is nature, and all voluntary things can be reduced to one principle, which is human reason, or will. Therefore there is no need to suppose God's existence.
I then began to study arithmetical questions without any great apparent result, and without suspecting that they could have the least connexion with my previous researches. Disgusted at my want of success, I went away to spend a few days at the seaside, and thought of entirely different things. One day, as I was walking on the cliff, the idea came to me, again with the same characteristics of conciseness, suddenness, and immediate certainty, that arithmetical transformations of indefinite ternary quadratic forms are identical with those of non-Euclidian geometry.
Without doubt, matter is unlimited in extent, and, in this sense, infinite; and the forces of Nature mould it into an innumerable number of worlds. Would it be at all astonishing if, from the universal dice-box, out of an innumberable number of throws, there should be thrown out one world infinitely perfect? Nay, does not the calculus of probabilities prove to us that one such world out of an infinite number, must be produced of necessity?
One can think of any given axiom system as being like a computer with a certain limited amount of memory or processing power. One could switch to a computer with even more storage, but no matter how large an amount of storage space the computer has, there will still exist some tasks that are beyond its ability.
Society, in the aggregate, is no fool. It is astonishing what an amount of "eccentricity" it will stand from anybody who takes the bull by the horns, too fearless or too indifferent to think of consequences.
But it was not the room’s disorder which was frightening; it was the fact that when one began searching for the key to this disorder, one realized that it was not to be found in any of the usual places. For this was not a matter of habit or circumstance or temperament; it was a matter of punishment and grief.
The type of UFO reports that are most intriguing are close-range sightings of machinelike objects of unconventional nature and unconventional performance characteristics, seen at low altitudes, and sometimes even on the ground. The general public is entirely unaware of the large number of such reports that are coming from credible witnesses... When one starts searching for such cases, their number are quite astonishing.
In abstract mathematics, of course operations alter those particular relations which are involved in the considerations of number and space, and the results of operations are those peculiar results which correspond to the nature of the subjects of operation.
You must acquire the habits and skills of managing a small amount of money before you can have a large amount. Remember, we are creatures of habit and, therefore, the habit of managing your money is more important than the amount.
A cathedral without windows, a face without eyes, a field without flowers, an alphabet without vowels, a continent without rivers, a night without stars, and a sky without a sun—these would not be so sad as a . . . soul without Christ.
The aspects of global warming that matter most to people - how rapidly will the seas rise? Are hurricanes already getting stronger? How strong will they get as a result of warming? Those are still immersed in complexity. So in those realms that catch people's attention most, or that get used as symbols by environmental campaigners, those facets really do come with significant back-and-forthing.
It is astonishing how many mental operations we can explain when we have once grasped the principles of association
The gas-law of learning: . . . any amount of information no matter how small will fill any intellectual void no matter how large.
Many people believe that the grains of sand are infinite in multitude ... Others think that although their number is not without limit, no number can ever be named which will be greater than the number of grains of sand. But I shall try to prove to you that among the numbers which I have named there are those which exceed the number of grains in a heap of sand the size not only of the earth, but even of the universe
Without evading the grimness of life in much of modern Africa, one can recognize that this continent is not yet sick as our continent is sick. Most Africans remain plugged into reality. In contrast we have become disconnected from it, reduced to compulsively consuming units, taught to worship 'economic growth' - the ultimate unreality in a finite world.
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