
In summary, then, the set theoretic 'needs' of physics are surprisingly similar to the set theoretic needs of pure logic. Both disciplines need some set theory to function at all. Both disciplines can 'live' - but live badly - on the meager diet of only predicative sets. Both can live extremely happily on the rich diet of impredicative sets. Insofar, then, as the indispensability of quantification over sets is any argument for their existence - and we will discuss why it is in the next section - we may say that it is a strong argument for the existence of at least predicative sets, and a pretty strong, but not as strong, argument for the existence of impredicative sets.
There is no city that is truly one other than this city that we are involved in bringing forth.
I have nothing but contempt for you idiotic chosen ones who have the heart to rejoice when there are the damned in Hell and the poor on earth; as for me, I am on the side of men and I will not leave it.
The true Poet is all-knowing; he is an actual world in miniature.
Almost anything that consoles us is a fake.
Friends, the soil is poor, we must sow seeds in plenty for us to garner even modest harvests.
Ninety percent of our lives is governed by emotion. Our brains merely register and act upon what is telegraphed to them by our bodily experience. Intellect is to emotion as our clothes are to our bodies; we could not very well have civilized life without clothes, but we would be in a poor way if we had only clothes without bodies.
I believe that the fundamental alternative for man is the choice between "life" and "death"; between creativity and destructive violence; between reality and illusions; between objectivity and intolerance; between brotherhood-independence and dominance-submission.
Quiet minds cannot be perplexed or frightened but go on in fortune or misfortune at their own private pace, like a clock during a thunderstorm.
Socrates: I think the most likely view is, that these ideas exist in nature as patterns, and the other things resemble them and are imitations of them; their participation in ideas is assimilation to them, that and nothing else.Parmenides: It is impossible that anything be like the idea, or the idea like anything; for if they are alike, some further idea, in addition to the first, will always appear, and if that is like anything, still another, and a new idea will always be arising, if the idea is like that which partakes of it.
The one intelligible theory of the universe is that of objective idealism, that matter is effete mind, inveterate habits becoming physical laws. But before this can be accepted it must show itself capable of explaining the tridimensionality of space, the laws of motion, and the general characteristics of the universe, with mathematical clearness and precision ; for no less should be demanded of every Philosophy.
Habit is a second nature.
They sang the praises of nature, of the sea, of the woods. They liked making songs about one another, and praised each other like children; they were the simplest songs, but they sprang from their hearts and went to one's heart. And not only in their songs but in all their lives they seemed to do nothing but admire one another. It was like being in love with each other, but an all-embracing, universal feeling.
Furthermore, how will you endure [the Romanists'] terrible idolatries? It was not enough that they venerated the saints and praised God in them, but they actually made them into gods. They put that noble child, the mother Mary, right into the place of Christ. They fashioned Christ into a judge and thus devised a tyrant for anguished consciences, so that all comfort and confidence was transferred from Christ to Mary, and then everyone turned from Christ to his particular saint. Can anyone deny this? Is it not true?
With a few glorious and glaring exceptions, the shadow of Jim Crow was cast in its new glittering form expressed in the language of superficial diversity... The disarray of a scattered curriculum, the disenchantment of talented yet deferential faculty, and the disorientation of precious students loom large... To witness a faculty enthusiastically support a candidate for tenure then timidly defer to a rejection based on the Harvard administration's hostility to the Palestinian cause was disgusting... We all know the mendacious reasons given had nothing to do with academic standards... This kind of narcissistic academic professionalism, cowardly deference to the anti-Palestinian prejudices of the Harvard administration, and indifference to my Mother's death constitutes an intellectual and spiritual bankruptcy of deep deaths...
I cannot contribute anything to this world because I only have one method: agony.
If to describe a misery were as easy to live through it!
I did not know the way in which, among the ordinary English, the absence of interest in things of an unselfish kind, except occasionally in a special thing here and there, and the habit of not speaking to others, nor much even to themselves, about the things in which they do feel interest, causes both their feelings and their intellectual faculties to remain undeveloped, or to develope themselves only in some single and very limited direction; reducing them, considered as spiritual beings, to a kind of negative existence.
A man is a man to the extent that he is a superman. A man should be defined by the sum of those tendencies which impel him to surpass the human condition.
In Plato... or Xenophon... we never see Socrates requiring... examination of conscience or... confession of sins. [A]n account of your life, your bios, is... not to give... the historical events... but... to demonstrate whether you are able to show... a relation between the rational discourse, the logos, you... use, and the way... you live. Socrates is inquiring into the way that logos gives form to a person's style of life... whether there is a harmonic relation between the two... the degree of accord between a person's life and its principle of intelligibility or logos... [and] the true nature of the relation between the logos and bios.
Some of their faults people readily admit, but others not so readily.
Oh, can I really believe the poet's tales, that when one first sees the object of one's love, one imagines one has seen her long ago, that all love like all knowledge is remembrance, that love too has its prophecies in the individual. ... it seems to me that I should have to possess the beauty of all girls in order to draw out a beauty equal to yours; that I should have to circumnavigate the world in order to find the place I lack and which the deepest mystery of my whole being points towards, and at the next moment you are so near to me, filling my spirit so powerfully that I am transfigured for myself, and feel that it's good to be here.
Man has ever expressed some symbolical Philosophy of his Being in his Works and Conduct; he announces himself and his Gospel of Nature; he is the Messiah of Nature.
If you are tired of the real landscape, look at it in a mirror. By putting bread, gold, horse, apple, or the very roads into a myth, we do not retreat from reality: we rediscover it. As long as the story lingers in our mind, the real things are more themselves. This book applies the treatment not only to bread or apple but to good and evil, to our endless perils, our anguish, and our joys. By dipping them in myth we see them more clearly.
Women . . . have . . . small and narrow chests, and broad hips, to the end they should remain at home, sit still, keep house, and bear and bring up children. . . . A woman is, or at least should be, a friendly, courteous, and a merry companion in life . . . the honor and ornament of the house, and inclined to tenderness, for thereunto are they chiefly created, to bear children, and to be the pleasure, joy and solace of their husbands.
Philosophy of religion ... really amounts to ... philosophizing on certain favorite assumptions that are not confirmed at all.
Thus heaven I've forfeited, I know it full well. My soul, once true to God, is chosen for hell.
Our own experience provides the basic material for our imagination, whose range is therefore limited. It will not help to try to imagine that one has webbing on one's arms, which enables one to fly around at dusk and dawn catching insects in one's mouth; that one has very poor vision, and perceives the surrounding world by a system of reflected high-frequency sound signals; and that one spends the day hanging upside down by one's feet in an attic. Insofar as I can imagine this (which is not very far), it tells me only what it would be like for me to behave as a bat behaves. But that is not the question. I want to know what it is like for a bat to be a bat. Yet if I try to imagine this, I am restricted to the resources of my own mind, and those resources are inadequate to the task.
It doesn't matter that it can't last, that we don't find it more often. To know that there is such perfection, that there has been such perfection - it is worth living for. It exists. It has been - it is. One can contemplate it and feel complete peace.
The heroic cannot be the common, nor can the common be heroic.
Nature is no sentimentalist, - does not cosset or pamper us. We must see that the world is rough and surly, and will not mind drowning a man or a woman, but swallows your ships like a grain of dust. The cold, inconsiderate of persons, tingles your blood, benumbs your feet, freezes a man like an apple. The diseases, the elements, fortune, gravity, lightning, respect no persons.
Of all the cultural aspects of humanity, the only one which is not broken up into national or regional splinters is science. Different nations have different languages, they may have different religions, may have different dietaries, may have different holidays, different ways of thinking, but here's only one science.
The vitality of thought is in adventure. Ideas won't keep. Something must be done about them. When the idea is new, its custodians have fervor, live for it, and, if need be, die for it.
We do not count a man's years until he has nothing else to count.
I'm delighted to hear someone make the claim that there is moral progress because it can be such a incendiary thing to say, and its something that I say and deeply believe in.
Giving alms is only a virtuous deed when you give money that you yourself worked to get.
But suppose we were to teach creationism. What would be the content of the teaching? Merely that a creator formed the universe and all species of life ready-made? Nothing more? No details?
Since the working-class lives from hand to mouth,it buys as long as it has the means to buy.
Useless laws weaken the necessary laws.
Mere parsimony is not economy. Expense, and great expense, may be an essential part in true economy.
The old dualistic notion of mind and matter, so prominent in Cartesianism, as two radically different kinds of substance, will hardly find defenders to-day. Rejecting this, we are driven to some form of hylopathy, otherwise called monism.
The first remark we have to make, and which - though already presented more than once - cannot be too often repeated when the occasion seems to call for it, - is that what we call principle, aim, destiny, or the nature and idea of Spirit, is something merely general and abstract. Principle - Plan of Existence - Law - is a hidden, undeveloped essence, which as such - however true in itself - is not completely real.
Temperament refers to the mode of reaction and is constitutional and not changeable; character is essentially formed by a person's experiences, especially of those in early life, and changeable, to some extent, by insights and new kinds of experiences. If a person has a choleric temperament, for instance, his mode of reaction is "quick and strong." But what he is quick or strong about depends on his kind of relatedness, his character. If he is a productive, just, loving person he will react quickly and strongly when he loves, when he is enraged by injustice, and when he is impressed by a new idea. If he is a destructive or sadistic character, he will be quick and strong in his destructiveness or in his cruelty. The confusion between temperament and character has had serious consequences for ethical theory. Preferences with regard to differences in temperament are mere matters of subjective taste. But differences in character are ethically of the most fundamental importance.
When he was wounded with an arrow in the ankle, and many ran to him that were wont to call him a god, he said smiling, "That is blood, as you see, and not, as Homer saith, 'such humour as distils from blessed gods.'"
And now I have explained the series of social and intellectual conditions by which the discovery of sociological laws, and consequently the foundation of Positivism, was fixed for the precise date at which I began my philosophical career: that is to say, one generation after the progressive dictatorship of the Convention, and almost immediately after the fall of the retrograde tyranny of Bonaparte.
To disappear into deep water or to disappear toward a far horizon, to become part of depth of infinity, such is the destiny of man that finds its image in the destiny of water.
The history of the American kings of capital and authority is the history of repeated crimes, injustice, oppression, outrage, and abuse, all aiming at the suppression of individual liberties and the exploitation of the people. A vast country, rich enough to supply all her children with all possible comforts, and insure well-being to all, is in the hands of a few, while the nameless millions are at the mercy of ruthless wealth gatherers, unscrupulous lawmakers, and corrupt politicians.The reign of these kings is holding mankind in slavery, perpetuating poverty and disease, maintaining crime and corruption; it is fettering the spirit of liberty, throttling the voice of justice, and degrading and oppressing humanity. It is engaged in continual war and slaughter, devastating the country and destroying the best and finest qualities of man; it nurtures superstition and ignorance, sows prejudice and strife, and turns the human family into a camp of Ishmaelites.
Holy Christendom has, in my judgment, no better teacher after the apostles than St. Augustine.
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