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Page "Uniformization theorem" ¶ 20
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is and nevertheless
This almost trivial example is nevertheless suggestive, for there are some elements in common between the antique fear that the days would get shorter and shorter and our present fear of war.
Without saying or seeming to say that in portraying the Sartoris and the Compson families Faulkner's chief concern is social criticism, we can say nevertheless that through those families he dramatizes his comment on the planter dynasties as they have existed since the decades before the Civil War.
This is nevertheless a minority view.
But it is true, nevertheless.
Thus science is the savior of mankind, and in this respect Childhood's End only blueprints in greater detail the vision of the future which, though not always so directly stated, has nevertheless been present in the minds of most science-fiction writers.
But there is, nevertheless, always a subtle difference in the way in which supposedly similar opinions are held.
If this choice is less exciting than New York Democrats may wish, it nevertheless must be made.
Falling somewhere in a category between Einstein's theory and sand fleas -- difficult to see but undeniably there, nevertheless -- is the tropical green `` city '' of Islandia, a string of offshore islands that has almost no residents, limited access and an unlimited future.
Although Sam Rayburn affects a gruff exterior in many instances, nevertheless he is fundamentally a man of warm heart and gentle disposition.
It's not a science as involved as determining what makes the earth rotate on its axis or building a rocket or putting a satellite into orbit but it is, nevertheless, a science.
It is disconcerting, nevertheless, to read in a labor weekly, `` Perluss knuckles down to growers '', and then to be confronted with a growers' publication which states, `` Perluss recognizes obviously phony and trumped-up strikes as bona fide ''.
He said his plan is designed to `` meet the needs of those millions who have no wish to receive care at the taxpayers' expense, but who are nevertheless staggered by the drain on their savings -- or those of their children -- caused by an extended hospital stay ''.
This is a bouncy show which may get a little too frantic at times, but is nevertheless worth your appraisal.
Yet such is the dramatic power of his writing that the audience is nevertheless left in the grip of the terrible power and potency of that which came over Salem.
In this connection, it has been observed that the increasing number of Irish Catholics, priests and laity, in England, while certainly seen as good for Catholicism, is nevertheless a source of embarrassment for some of the more nationalistic English Catholics, especially when these Irishmen offer to remind their Christian brethren of this good.
That Ambrose could nevertheless occasionally say a good word for the Jews is shown by a passage in his " Enarratio in Psalmos " ( i. 41, xiv.
While the house is clearly intended for a wealthy family, Aalto nevertheless argued that it was also an experiment that would prove useful in the design of mass housing.
But this universal agent, whilst it is not univocal, nevertheless is not altogether equivocal, otherwise it could not produce its own likeness, but rather it is to be called an analogical agent, as all univocal predications are reduced to one first non-univocal analogical predication, which is being.
The general tendency of his mind, nevertheless, was counter to tradition, and he is remarkable as resuming in his individual history all the phases of Protestant theology from Luther to Fausto Sozzini.
Though inaccessible directly, God is nevertheless seen as conscious of creation, with a will and purpose that is expressed through messengers termed Manifestations of God.

is and possible
It is possible, although highly doubtful, that he killed none at all but merely let his reputation work for him by privately claiming every unsolved murder in the state.
It is also possible, but equally doubtful, that he actually shot down the hundreds of men with which his legend credits him.
`` Now that Bruno Walter is virtually in retirement and my dear friend Dimitri Mitropoulos is no longer with us, I am probably the only one -- with the possible exception of Leonard Bernstein -- who has this special affinity for and champions the works of Bruckner and Mahler ''.
Even in domains where detailed and predictive understanding is still lacking, but where some explanations are possible, as with lightning and weather and earthquakes, the appropriate kind of human action has been more adequately indicated.
Within this notion clarity is possible, but for us who are neither Greek nor Jansenist there is not such clarity.
Mimesis is the nearest possible thing to the actual re-living of experience, in which the imagining person recovers through images something of the force and depth characteristic of experience itself.
Whitehead contends that the human way of understanding existence as a unity of interlocking and interdependent processes which constitute each other and which cause each other to be and not to be is possible only because the basic form of such an understanding, for all its vagueness and tendency to mistake the detail, is initially given in the way man feels the world.
The first of two possible variations on this theme is symbolized by Mickey Spillane's Mike Hammer.
All we want from Dr. Huxley's statement is the feeling that this is an open world, in the view of the best scientific opinion, with practically no directional commitments as to what may happen next, and no important confinements with respect to what may be possible.
In the range and variety of characters who, in their literary lives, get along all right with life styles one never imagined possible, there is an implicit lesson in differentiation.
It is possible that the study of literature affects the conscience, the morality, the sensitivity to some code of `` right '' and `` wrong ''.
It is possible that the idea of enrichment of emotion is a fifth idea.
It is at least possible that the capacity to postpone gratification is developed as well as expressed in a continuous and guided exposure to great literature.
Most students of literature, whether they call themselves scholars or critics, are ready to argue that it is possible to understand literary works as well as to enjoy them.
In looking back over the volumes, it is possible to find errors of interpretation, some of which were not so evident at the time of writing.
Says he, `` I may never imagine that in the struggle between personal and supra-personal responsibility it is possible to make a compromise between the ethical and the purposive in the shape of a relative ethic ; ;
Fortunately, it is possible to be somewhat more concrete and factual in diagnosing the involvement of values in education.
But when the situation was so complicated that even Nogaret, one of the principal actors in the drama, could misinterpret the pope's motives, it is possible that Othon and his companions, equally baffled, attributed their difficulties to a more immediate cause.
It is no longer possible to say that a sceptical attitude towards the received accounts of the invasions almost automatically produces a `` shore occupied by '' interpretation.

is and prove
Therefore, what we must prove or disprove is that there were Saxons, in the broad sense in which we must construe the word, in the area of the Saxon Shore at the time it was called the Saxon Shore.
Today the recreational boating scene is awash with heartening statistics which prove the enormous growth of that sport.
It is possible that especially large anacondas will prove to belong to subspecies limited to a small area.
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.
-- On the basis of a differentiability assumption in function space, it is possible to prove that, for materials having the property that the stress is given by a functional of the history of the deformation gradients, the classical theory of infinitesimal viscoelasticity is valid when the deformation has been infinitesimal for all times in the past.
What determines the morality, they state, is not the means used, but the motive In general, the means ( excluding abortion ) that prove most effective are considered the most ethical.
Action located where the evil is concentrated will prove most decisive and is most clearly legitimate.
This increase in the `` threshold '', as the conventional forces strengthening is called, will prove one of the alliance's most difficult problems in the months to come.
More than 300 teenagers last Sunday proved there is and as many more are expected to prove it again for Jim Kern and his wife Lynn from 4 to 8 p.m. Sunday at First Presbyterian Church.
In searching for clues which might lead us to a fresh apprehension of the reality of spirit, the close connection between spirit and community is likely to prove the most fruitful.
Instead -- and not just to prove my objectivity -- I hasten to report that it's a highly amusing film which probably does a fairly accurate job of reporting on the Easter vacation shenanigans of collegians down in Fort Lauderdale, and that it seems to come to grips quite honestly with the moral problem that most commonly vexes youngsters in this age group -- that is to say, sex.
But chains of movements are not necessarily communicative, and it is in the realm of communication that the works prove disappointing.
`` You're working up to something, and if you don't watch out you'll ruin your whole life one of these days just to prove that the Abernathy family is superior to everything, even a depression ''.
`` The only thing that worries me is how I'm going to prove it '', Eugenia said.
In order for the appeal to succeed, the appellant must prove that the lower court committed reversible error, that is, an impermissible action by the court acted to cause a result that was unjust, and which would not have resulted had the court acted properly.
If a defendant has been convicted and can prove that his lawyer did not adequately handle his case and that there is a reasonable probability that the result of the trial would have been different had the lawyer given competent representation, he is entitled to a new trial.
Chaitin prefaces his definition with: " I'll show you can't prove that a program is ' elegant '"— such a proof would solve the Halting problem ( ibid ).
" In general, it is impossible to prove that F exists without the axiom of choice, but this seems to have gone unnoticed until Zermelo.
It is possible to prove many theorems using neither the axiom of choice nor its negation ; such statements will be true in any model of Zermelo – Fraenkel set theory ( ZF ), regardless of the truth or falsity of the axiom of choice in that particular model.
For example, the Banach – Tarski paradox is neither provable nor disprovable from ZF alone: it is impossible to construct the required decomposition of the unit ball in ZF, but also impossible to prove there is no such decomposition.

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