He started toward the stairway, then turned to add, `` Tell her to come to Adams's room, that Adams is in trouble.

It is well then that in this hour both of `` national peril '' and of `` national opportunity '' we can take counsel with the men who made the nation.

The field, then, is ripe for new Southerners to step to the fore and write of this twentieth-century phenomenon, the Southern Yankeefication: the new urban economy, the city-dweller, the pains of transition, the labor problems ; ;

If he is the child of nothingness, if he is the predestined victim of an age of atomic wars, then he will consult only his own organic needs and go beyond good and evil.

If it is an honest feeling, then why should she not yield to it??

If love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.

The street that is full now of traffic and parked cars then and for many years drowsed on an August afternoon in the shade of the curbside trees, and silence was a weight, almost palpable, in the air.

For the occasion on which everyone already knows everyone else and the host wishes them to meet one or a few honored newcomers, then the `` open house '' system is advantageous because the honored guests are fixed connective points and the drifting guests make and break connections at the door.

But is that not like going to a chemistry laboratory and blindly pouring out liquids and powders from an array of bottles and then, after stirring, expecting a new wonder drug inevitably to result??

At the national and international level, then, what is the highest kind of morality for the private citizen represents an instance of political immorality.

The young William Faulkner in New Orleans in the 1920's impressed the novelist Hamilton Basso as obviously conscious of being a Southerner, and there is no evidence that since then he has ever considered himself any less so.

Actually, you could wish for some passion, now and then, but when you look around the world and see the little volcanos of current history which partisan social passions have wrought, you are glad that in these pamphlets there is at least some civilized calm.

But that one should superimpose all these charts, run a pin through the common point, and then scale each planetary deferent larger and smaller ( to keep the epicycles from ' bumping ' ), this is contrary to any intention Ptolemy ever expresses.

If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.

William Wimsatt and Cleanth Brooks, it seems to me, have a penetrating insight into the way in which this control is effected: `` For if we say poetry is to talk of beauty and love ( and yet not aim at exciting erotic emotion or even an emotion of Platonic esteem ) and if it is to talk of anger and murder ( and yet not aim at arousing anger and indignation ) -- then it may be that the poetic way of dealing with these emotions will not be any kind of intensification, compounding, or magnification, or any direct assault upon the affections at all.

What I want is to have this evidence come before Congress and if the Attorney General does not report it, as I am very sure he won't, as he has refused to do anything of the kind, I then wish that a committee of seven Representatives be appointed with power to take the evidence.

`` Ah, then please tell me where the frontier is because this gentleman here '' -- I indicated the French occupation officer -- `` informs me that Germany is just on the other side of him ''.

It is only then that the ancient habits of feeling and the classic orderings of material and psychological experience were abandoned.

It is not possible to reconstruct fully the arrangements whereby these honors lists were then made up or even how the names that they contained assumed the order in which we find them.

Considering then the optimism which has permeated science fiction for so long, what is really remarkable is that during the last twelve years many science-fiction writers have turned about and attacked their own cherished vision of the future, have attacked the Childhood's End kind of faith that science and technology will inevitably better the human condition.

The theorem which we prove is more general than what we have described, since it works with the primary decomposition of the minimal polynomial, whether or not the primes which enter are all of first degree.

In the primary decomposition theorem, it is not necessary that the vector space V be finite dimensional, nor is it necessary for parts ( A ) and ( B ) that P be the minimal polynomial for T.

This theorem is similar to the theorem of Kakutani that there exists a circumscribing cube around any closed, bounded convex set in Af.

According to Cauchy's functional equation theorem, the logarithm is the only continuous transformation that transforms real multiplication to addition.

One motivation for this use is that a number of generally accepted mathematical results, such as Tychonoff's theorem, require the axiom of choice for their proofs.

However, that particular case is a theorem of Zermelo – Fraenkel set theory without the axiom of choice ( ZF ); it is easily proved by mathematical induction.

The debate is interesting enough, however, that it is considered of note when a theorem in ZFC ( ZF plus AC ) is logically equivalent ( with just the ZF axioms ) to the axiom of choice, and mathematicians look for results that require the axiom of choice to be false, though this type of deduction is less common than the type which requires the axiom of choice to be true.

In Martin-Löf type theory and higher-order Heyting arithmetic, the appropriate statement of the axiom of choice is ( depending on approach ) included as an axiom or provable as a theorem.

Assuming ZF is consistent, Kurt Gödel showed that the negation of the axiom of choice is not a theorem of ZF by constructing an inner model ( the constructible universe ) which satisfies ZFC and thus showing that ZFC is consistent.

Assuming ZF is consistent, Paul Cohen employed the technique of forcing, developed for this purpose, to show that the axiom of choice itself is not a theorem of ZF by constructing a much more complex model which satisfies ZF ¬ C ( ZF with the negation of AC added as axiom ) and thus showing that ZF ¬ C is consistent.

It is possible, however, that there is a shorter proof of a theorem from ZFC than from ZF.

** Tarski's theorem: For every infinite set A, there is a bijective map between the sets A and A × A.

** König's theorem: Colloquially, the sum of a sequence of cardinals is strictly less than the product of a sequence of larger cardinals.

** Tychonoff's theorem stating that every product of compact topological spaces is compact.

`` The main bunch is outside, but there are some over there inside the wall ''.

But there's one thing I never seen or heard of, one thing I just don't think there is, and that's a sportin' way o' killin' a man ''!!

Even the knowledge that she was losing another boy, as a mother always does when a marriage is made, did not prevent her from having the first carefree, dreamless sleep that she had known since they dropped down the canyon and into Bear Valley, way, way back there when they were crossing those other mountains.

Bryn Mawr Drive is only two or three miles from the Spartan, and it took me less than five minutes to get there.

Nevertheless, there is no bath.

It is the last of the three tests of manhood which the women impose, to discover if a male is worthy of survival there.

`` There isn't anything left to say, is there, Keith ''??

He thought of the jungles below him, and of the wild, strange, untracked beauty there and he promised himself that someday he would return, on foot perhaps, to hunt in this last corner of the world where man is sometimes himself the hunted, and animals the lords.

But there is no use causing him to worry at this time ''.

The strong feeling is certainly there ; ;

but there is a leavening of liberalism among college graduates throughout the South, especially among those who studied in the North.

The long-settled areas of states like Virginia and South Carolina developed the ante-bellum culture to its richest flowering, and there the memory is more precious, and the consciousness of loss the greater.

And there is no section of the nation more ardent than the South in the cold war against Communism.

Had the situation been reversed, had, for instance, England been the enemy in 1898 because of issues of concern chiefly to New England, there is little doubt that large numbers of Southerners would have happily put on their old Confederate uniforms to fight as allies of Britain.

Ratified in the Republican Party victory in 1952, the Positive State is now evidenced by political campaigns being waged not on whether but on how much social legislation there should be.

At General Power's seat in the balcony there is also a gold phone.

They are huge areas which have been swept by winds for so many centuries that there is no soil left, but only deep bare ridges fifty or sixty yards apart with ravines between them thirty or forty feet deep and the only thing that moves is a scuttling layer of sand.

For one thing, there is a natural belt of rock across the river bed ; ;

Down through the axis of the bridge there is a long diminishing vista like a visual echo of piers and arches, while the vaults fronting upstream and down frame the sunset and sunrise, the mountains and river pools.

Yet within this limitation there is an astonishing variety: design as intricate as that in the carpet or miniature, with the melodic line like the painted or woven line often flowing into an arabesque.

Thus, there is freshness not only in the individual movements of the dance but in the shape of their continuity as well.

However, there is always the possibility that chance will make demands the dancers find impossible to execute.