The `` approximate '' is important, because even after the order of the work has been established by the chance method, the result is not inviolable.

As long as perception is seen as composed only of isolated sense data, most of the quality and interconnectedness of existence loses its objectivity, becomes an invention of consciousness, and the result is a philosophical scepticism.

and our loss of `` prestige '' abroad is the direct result.

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??

But is the result new barnsful of tested knowledge on the basis of which we can with confidence solve our domestic and international problems??

and it is surely clear that the first of these is the result of the way in which the individual's command of language interacts with the other two.

If disobeyed, the result is turmoil and chaos.

This was accordingly done, and the plight of the grateful Mrs. Morris was much relieved as a result of the generous loan, the amount of which is not known.

The other reason ( and the one with which I am here concerned ) is that one thus becomes inclined to inquire of any opinion, or change of opinion, whether it represents the wisdom of experience or is only the result of the difference between youth and age which is as inevitable as the all too obvious physical differences.

And when Vincent Berger returns to Europe, this first result of his encounters with mankind is considerably enriched and deepened by a crucial revelation.

What is in doubt as the free Germans and their allies consider the voting trends is the nature of the coalition that will result.

The New Testament offered to the public today is the first result of the work of a joint committee made up of representatives of the Church of England, Church of Scotland, Methodist Church, Congregational Union, Baptist Union, Presbyterian Church of England, Churches in Wales, Churches in Ireland, Society of Friends, British and Foreign Bible Society and National Society of Scotland.

war is the result of mistrust and lack of understanding between people.

In the first place, a large part of the discrepancy between President Eisenhower's estimate of a 1.5 billion dollar surplus for the same period and the new estimate of an almost seven billion dollar deficit is the result of the outgoing President's farewell gift of a political booby-trap to his successor.

Their burgeoning popularity may be a result of the closing of the 52nd Street burlesque joints, but curiously enough their atmosphere is almost always familial -- neighborhood saloons with a bit of epidermis.

The only fact that holds any weight in the article is the result of the tea party.

Its elimination would result in the saving of interest costs, heavy when short-term money rates are high, and in freedom from dependence on credit which is not always available when needed most.

This result is preliminary, and work is continuing.

In the case of a Galois extension L / K the subgroup of all automorphisms of L fixing K pointwise is called the Galois group of the extension.

* 1832 – Évariste Galois is released from prison.

La Longue Marche à travers la théorie de Galois Long March Through Galois Theory is an approximately 1600-page handwritten manuscript produced by Grothendieck during the years 1980 – 1981, containing many of the ideas leading to the Esquisse d ' un programme ( see below, and also a more detailed entry ), and in particular studying the Teichmüller theory.

In general, the absolute Galois group of K is the Galois group of K < sup > sep </ sup > over K.

* A profinite group ( e. g., Galois group ) is compact.

Typical of the courses he teaches is his seminar " Group Theory and Galois Theory Visualized ", in which abstract mathematical ideas are rendered as concretely as possible.

However, in spite of many claims to the contrary, it is widely held that Cauchy recognized the importance of Galois ' work, and that he merely suggested combining the two papers into one in order to enter it in the competition for the Academy's Grand Prize in Mathematics.

It is undisputed that Galois was more than qualified ; however, accounts differ on why he failed.

Évariste Galois was buried in a common grave and the exact location is still unknown.

Around 4 July, Poisson declared Galois ' work " incomprehensible ", declaring that " argument is neither sufficiently clear nor sufficiently developed to allow us to judge its rigor "; however, the rejection report ends on an encouraging note: " We would then suggest that the author should publish the whole of his work in order to form a definitive opinion.

It is unsurprising, in the light of his character and situation at the time, that Galois reacted violently to the rejection letter, and decided to abandon publishing his papers through the Academy and instead publish them privately through his friend Auguste Chevalier.

This conjecture is also supported by other letters Galois later wrote to his friends the night before he died.

However, Dumas is alone in this assertion, and extant newspaper clippings from only a few days after the duel give a description of his opponent that more accurately applies to one of Galois ' Republican friends, most probably Ernest Duchatelet, who was imprisoned with Galois on the same charges.

On 2 June, Évariste Galois was buried in a common grave of the Montparnasse cemetery whose exact location is unknown.

Although Abel had already proved the impossibility of a " quintic formula " by radicals in 1824 and Ruffini had published a solution in 1799 that turned out to be flawed, Galois ' methods led to deeper research in what is now called Galois theory.

While many mathematicians before Galois gave consideration to what are now known as groups, it was Galois who was the first to use the word group ( in French groupe ) in a sense close to the technical sense that is understood today, making him among the founders of the branch of algebra known as group theory.

He also introduced the concept of a finite field ( also known as a Galois field in his honor ), in essentially the same form as it is understood today.

Galois ' most significant contribution to mathematics by far is his development of Galois theory.

What is the history of criticism but the history of men attempting to make sense of the manifold elements in art that will not allow themselves to be reduced to a single philosophy or a single aesthetic theory??

Accordingly, it is the aim of this essay to advance a new theory of imitation ( which I shall call mimesis in order to distinguish it from earlier theories of imitation ) and a new theory of invention ( which I shall call symbol for reasons to be stated hereafter ).

The central concern of Erich Auerbach's impressive volume called Mimesis is to describe the shift from a classic theory of imitation ( based upon a recognition of levels of truth ) to a Christian theory of imitation in which the levels are dissolved.

And it is clearly argued by Lord Percy of Newcastle, in his remarkable long essay, The Heresy Of Democracy, and in a more general way by Voegelin, in his New Science Of Politics, that this same Rousseauan idea, descending through European democracy, is the source of Marx's theory of the dictatorship of the proletariat.

Thus, in no ordinary sense of ' simplicity ' is the Ptolemaic theory simpler than the Copernican.

Analogously, anyone who argues that Einstein's theory of gravitation is simpler than Newton's, must say rather more to explain how it is that the latter is mastered by student-physicists, while the former can be managed ( with difficulty ) only by accomplished experts.

In a sense, Einstein's theory is simpler than Newton's, and there is a corresponding sense in which Copernicus' theory is simpler than Ptolemy's.

The strongest appeal of the Copernican formulation consisted in just this: ideally, the justification for dealing with special problems in particular ways is completely set out in the basic ' rules ' of the theory.

My reply is that I associate myself with all those who affirm that Gentile-Jewish relations should contribute to the theory and practice of human dignity.

Finally we may note that the idea appears in educational theory where its influence is at present widespread.

The point is that an ethical critic, with an assist from Freud, can seize on this theory to argue that tragedy provides us with a harmless outlet for our hostile urges.

In his study Samuel Johnson, Joseph Wood Krutch takes this line when he says that what Aristotle really means by his theory of catharsis is that our evil passions may be so purged by the dramatic ritual that it is `` less likely that we shall indulge them through our own acts ''.

But beginning, for all practical purposes, with Frederick Seebohm's English Village Community scholars have had to reckon with a theory involving institutional and agrarian continuity between Roman and Anglo-Saxon times which is completely at odds with the reigning concept of the Anglo-Saxon invasions.

that theory was and is sound.