These examples point to the third and most fundamental aspect of the incommensurability of competing paradigms. In a sense that I am unable to explicate further, the proponents of competing paradigms practice their trades in different worlds. One contains constrained bodies that fall slowly, the other pendulums that repeat their motions again and again. In one, solutions are compounds, in the other mixtures. One is embedded in a flat, the other in a curved, matrix of space. Practicing in different worlds, the two groups of scientists see different things when they look from the same point in the same direction. Again, that is not to say that they can see anything they please. Both are looking at the world, and what they look at has not changed. But in some areas they see different things, and they see them in different relations one to the other. That is why a law that cannot even be demonstrated to one group of scientists may occasionally seem intuitively obvious to another. p. 149

Is it always permissible to speak of the extension of a concept, of a class? And if not, how do we recognize the exceptional cases? Can we always infer from the extension of one concept's coinciding with that of a second, that every object which falls under the first concept also falls under the second?

Vanity dies hard; in some obstinate cases it outlives the man.

The way to true mysticism leads up through rational thought to deep experience of the world and of our will-to-live. We must all venture once more to be "thinkers," so as to reach mysticism, which is the only direct and the only profound world-view. We must all wander in the field of knowledge to the point where knowledge passes over into experience of the world. We must all, through thought, become religious.This rational thought must become the prevailing force among us, for all the valuable ideas that we need develop out of it. In no other fire than that of the mysticism of reverence for life can the broken sword of idealism be forged anew.

Well both original seizure and subsequent critical discrimination have equal claims, each to its own complete development and must not be forgotten that direct and unreasoned impression comes first. There is such occasions something of the quality of the wind that bloweth where it listeth. Sometimes it comes and sometimes it does not, even in the presence of the same object. It cannot be forced and when it does not arrive it is not wise to seek to recover by direct action the first fine rapture.

Socialism itself can hope to exist only for brief periods here and there, and then only through the exercise of the extremest terrorism. For this reason it is secretly preparing itself for rule through fear and is driving the word 'justice' into the heads of the half-educated masses like a nail so as to rob them of their reason... and to create in them a good conscience for the evil game they are to play.

Scientists try to eliminate their false theories, they try to let them die in their stead. The believer-whether animal or man-perishes with his false beliefs.

For the trouble with lying and deceiving is that their efficiency depends entirely upon a clear notion of the truth that the liar and deceiver wishes to hide. In this sense, truth, even if it does not prevail in public, possesses an ineradicable primacy over all falsehoods.

The abolition of the market means not only that the consumers-that is all members of society-are robbed of virtually all choice of consumption and all influence over production; it also means that the information and communication are monopolized by the State, as they too need a vast material base in order to operate. The abolition of the market means, then, that both material and intellectual assets would be totally rationed. To say nothing of the inefficiency of production convincingly demonstrated in the history of communism, this economy requires an omnipotent police state. Briefly: the abolition of the market means a gulag society.

In the state of nature, wrong-doing is impossible ; or, if anyone does wrong, it is to himself, not to another. For no one by the law of nature is bound to please another, unless he chooses, nor to hold anything to be good or evil, but what he himself, according to his own temperament, pronounces to be so ; and, to speak generally, nothing is forbidden by the law of nature, except what is beyond everyone's power.

I am excluded from the possession of a determined object, not through the will of the other, but only through my own free-will. If I had not excluded myself, I should not be excluded. But I must exclude myself from something in virtue of the Conception of Rights.

If you punish a child for being naughty, and reward him for being good, he will do right merely for the sake of the reward; and when he goes out into the world and finds that goodness is not always rewarded, nor wickedness always punished, he will grow into a man who only thinks about how he may get on in the world, and does right or wrong according as he finds either of advantage to himself.

The slave is doomed to worship time and fate and death, because they are greater than anything he finds in himself, and because all his thoughts are of things which they devour.

He that dies in extreme old age will be reduced to the same state with him that is cut down untimely.

Will is to grace as the horse is to the rider.

'Form' or 'figure' is space limited by boundaries. Space has necessarily 'three' dimensions, length, breadth, depth; and no ethers which cannot be resolved into these.

All's well that ends well; which is the epitaph I should put on my tombstone if I were the last man left alive.

And perhaps this habit of much travel, and the engendering of scattered friendships, may prepare the euthanasia of ancient nations.

The way for a person to develop a [writing] style is (a) to know exactly what he wants to say, and (b) to be sure he is saying exactly that. The reader, we must remember, does not start by knowing what we mean. If our words are ambiguous, our meaning will escape him. I sometimes think that writing is like driving sheep down a road. If there is any gate open to the left or the right the readers will most certainly go into it.

In looking at this wreck of Governments in all European countries, there is one consideration that suggests itself, sadly elucidative of our modern epoch. These Governments, we may be well assured, have gone to anarchy for this one reason inclusive of every other whatsoever, That they were not wise enough; that the spiritual talent embarked in them, the virtue, heroism, intellect, or by whatever other synonyms we designate it, was not adequate,-probably had long been inadequate, and so in its dim helplessness had suffered, or perhaps invited falsity to introduce itself; had suffered injustices, and solecisms, and contradictions of the Divine Fact, to accumulate in more than tolerable measure; whereupon said Governments were overset, and declared before all creatures to be too false.

What chance has Vulcan against Roberts & Co., Jupiter against the lightning-rod and Hermes against the Credit Mobilier? All mythology overcomes and dominates and shapes the forces of nature in the imagination and by the imagination; it therefore vanishes with the advent of real mastery over them.

He who must still exhort himself, and be exhorted, to will the good, has as yet no firm and ever-ready will, but wills a will anew every time he needs it. But he who has such a stable will, wills what he wills for ever, and cannot under any circumstances will otherwise than he always wills. For him freedom of the will is destroyed and swallowed up in necessity.

If our intention now is to reveal classical unreason on its own terms, outside of its ties with dreams and error, it must be understood not as a form of reason that is somehow diseased, lost or mad, but quite simply as reason dazzled.

The ambassador of Russia and the grandees who accompanied him were so gorgeous that all London crowded to stare at them, and so filthy that nobody dared to touch them. They came to the court balls dropping pearls and vermin.

When the leaders choose to make themselves bidders at an auction of popularity, their talents, in the construction of the state, will be of no service. They will become flatterers instead of legislators; the instruments, not the guides, of the people.

When a man after long years of searching chances on a thought which discloses something of the beauty of this mysterious universe, he should not therefore be personally celebrated. He is already sufficiently paid by his experience of seeking and finding. In science, moreover, the work of the individual is so bound up with that of his scientific predecessors and contemporaries that it appears almost as an impersonal product of his generation.

The sea does not reward those who are too anxious, too greedy, or too impatient. To dig for treasures shows not only impatience and greed, but lack of faith. Patience, patience, patience, is what the sea teaches. Patience and faith. One should lie empty, open, choiceless as a beach - waiting for a gift from the sea.

Stupidity or reason? Oh, there was no choice now. It was imbecility every time.

The collective is the object of all idolatry, this it is which chains us to the earth. In the case of avarice: gold is of the social order. In the case of ambition: power is of the social order. Science and art are full of the social element also. And love? Love is more or less of an exception: that is why we can go to God through love, not through avarice and ambition.

In every man's writings, the character of the writer must lie recorded.

The Palætiological Sciences depend upon the Idea of Cause; but the leading conception which they involve is that of 'historical cause', not mechanical cause.

The light dove, cleaving the air in her free flight, and feeling its resistance, might imagine that its flight would be still easier in empty space.

Rational and kindly behavior tends to produce good results and these results remain good even when the behavior which produced them was itself produced by a pill.

The circulation of commodities is the original precondition of the circulation of money.

It will be easy for us once we receive the ball of yarn from Ariadne (love) and then go through all the mazes of the labyrinth (life) and kill the monster. But how many are there who plunge into life (the labyrinth) without taking that precaution?

When the woman showed her love for the children that were not her own, and wept over them, I saw in her the living God, and understood What men live by.

I have therefore found it necessary to deny knowledge in order to make room for faith.

But after these, Pythagoras changed that philosophy, which is conversant about geometry itself, into the form of a liberal doctrine, considering its principles in a more exalted manner; and investigating its theorems immaterially and intellectually; who likewise invented a treatise of such things as cannot be explained in geometry, and discovered the constitution of the mundane figures.

One recognizes one's course by discovering the paths that stray from it.

I was taught that the human brain was the crowning glory of evolution so far, but I think it's a very poor scheme for survival.

Junz found revulsion growing strong within him. A planet full of people meant nothing against the dictates of economic necessity!

In the fact of being born there is such an absence of necessity that when you think about it a little more than usual, you are left...with a foolish grin.

It is then unnecessary to investigate whether there be beyond the heaven Space, Void or Time. For there is a single general space, a single vast immensity which we may freely call Void; in it are innumerable globes like this one on which we live and grow. This space we declare to be infinite, since neither reason, convenience, possibility, sense-perception nor nature assign to it a limit. In it are an infinity of worlds of the same kind as our own.

I do not carry such information in my mind since it is readily available in books. ...The value of a college education is not the learning of many facts but the training of the mind to think.