The concepts Yin and Yang represent two opposing forces that are permanently in conflict with each other, leading to perpetual contradiction and change.

Then ( E2 ) is false, which means ( E3 ) is true, and hence ( E1 ) is false, leading to a contradiction.

A problem arises when the former is combined with " S entails S *", leading to a contradiction.

But a paradox may either refer to a surprising but true result in a given formal theory, or to an informal argument leading to a contradiction, so that a candidate theory where a formalization of the argument might be attempted must disallow at least one of its steps ; in this case the problem is to find a satisfying theory without contradiction.

His phrasing often includes direct contradiction, as though the first part of a sentence of his did not know what it was leading to, with the conclusion being part of an emotional catchphrase.

The multiplication of pseudo-sciences and the contradiction of rationalism are leading us into blind alleys, and for many people are replacing their lost faith in the value of scientific progress.

The change was presumably required because the book's conclusion was in contradiction to the conventions of Hollywood, in which dashing European officers, played by leading movie stars like Stewart Granger, are not expected to lose out to gauche, mixed-race railway-workers played by less-established actors ( as Bill Travers was in 1956 ).

In the work of spreading a message that to many seems new, Opus Dei faced challenges, misunderstandings and controversies, leading some Catholic leaders like Cardinal John Carmel Heenan to see Opus Dei as a sign of contradiction, a " sign that is spoken against " ( Lk 2: 34 ).

This sum contains a term a < sub > r </ sub > b < sub > s </ sub > which is not divisible by p ( because p is prime, by Euclid's lemma ), yet all the remaining ones are ( because either or ), so the entire sum is not divisible by p. But by assumption all coefficients in the product are divisible by p, leading to a contradiction.

As a Humanist, Dr. Huxley interests himself in the possibilities of human development, and one thing we can say about this suggestion, which comes from a leading zoologist, is that, so far as he is concerned, the scientific outlook places no rigid limitation upon the idea of future human evolution.

Though the spread of this type of decoration in the Aegean has not yet been precisely determined, it seems to appear first in the Cyclades, which were among the leading exporters of pottery throughout the century.

An electrostatic system suffers generally from image plane curvature leading to defocusing in the peripheral image region if a flat viewing screen ( or interstage coupler ) is utilized, while a magnetic system requires accurate adjustment of the solenoid, which is heavy and bulky.

Moreover, prudence alone would indicate that, unless the local customs are already ready to fall when pushed, the results of direct economic action everywhere upon national chain stores will likely be simply to give undue advantage to local and state stores which conform to these customs, leading to greater decentralization and local autonomy within the company, or even ( as the final self-defeat of an unjust application of economic pressure to correct injustice ) to its going out of business in certain sections of the country ( as, for that matter, the Quakers, who once had many meetings in the pre-Civil War South, largely went out of business in that part of the country over the slavery issue, never to recover a large number of southern adherents ).

There were three -- one leading to a bathroom, one to the hall, and one to the room next door which was immovable -- locked or bolted on the other side.

This religious explanation is supported by modern Pueblo beliefs about a North Road leading to their place of origin and along which the spirits of the dead travel.

An algebraic integer is an algebraic number which is a root of a polynomial with integer coefficients with leading coefficient 1 ( a monic polynomial ).

While drawing up the plans, he included a circular staircase leading directly from his office to the outside of the building which allowed him to escape the patronage-seekers waiting for him in his ante-chamber.

His denunciation of the royal dynasty of Israel, and his emphatic insistence on the worship of Yahweh and Yahweh alone, illustrated by the contest between Yahweh and Baal on Mount Carmel, as told in 1 Kings 18, form the keynote to a period which culminated in the accession of Jehu, an event in which Elijah's chosen disciple Elisha was the leading figure.

It is referenced in the 2006 film Amazing Grace, which highlights Newton's influence on the leading British abolitionist William Wilberforce.

Aachen was chosen as the site of several important congresses and peace treaties: the first congress of Aachen ( often referred to as Congress of Aix-la-Chapelle in English ) in 1668, leading to the First Treaty of Aachen in the same year which ended the War of Devolution.

He wrote extensively on proportions in music, and on the three different subjective levels on which plainchant could work on the human soul: purging of the impure ; illumination leading to contemplation ; and nourishing perfection through contemplation.

The Falcons finished the season at 10-6, securing the fifth seed after a Week 17 beatdown of Tampa Bay in which the Falcons pulled their starters after leading 42-0 just twenty-three minutes into the game.

Hogarth, for example, thinks that beauty consists of ( 1 ) fitness of the parts to some design ; ( 2 ) variety in as many ways as possible ; ( 3 ) uniformity, regularity or symmetry, which is only beautiful when it helps to preserve the character of fitness ; ( 4 ) simplicity or distinctness, which gives pleasure not in itself, but through its enabling the eye to enjoy variety with ease ; ( 5 ) intricacy, which provides employment for our active energies, leading the eye on " a wanton kind of chase "; and ( 6 ) quantity or magnitude, which draws our attention and produces admiration and awe.

A series of extant drawings show Dürer's experiments in human proportion, leading to the famous engraving of Adam and Eve ( 1504 ), which shows his subtlety while using the burin in the texturing of flesh surfaces.

She expressed reservations over the eventual winner David Cameron, feeling that he did not, like the other candidates, have a proven track record, and she was later a leading figure in parliamentary opposition to his A-List policy, which she has said is " an insult to women ".

During the Neolithic Revolution, which occurred during the early Holocene, there were at least two aurochs domestication events: one related to the Indian subspecies, leading to Zebu cattle ; the other one related to the Eurasian subspecies, leading to taurine cattle.

Aelia Capitolina (; Latin in full: Colonia Aelia Capitolina ) was a city built by the emperor Hadrian, and occupied by a Roman colony, on the site of Jerusalem, which was in ruins since 70 AD, leading in part to the Bar Kokhba revolt of 132 – 136.

Rav died at an advanced age, deeply mourned by numerous disciples and the entire Babylonian Jewry, which he had raised from comparative insignificance to the leading position in Judaism ( Shabbat 110a, Mo ' ed Katan 24a ).

In Gandhi ’ s thought, ahimsa precludes not only the act of inflicting a physical injury, but also mental states like evil thoughts and hatred, unkind behavior such as harsh words, dishonesty and lying, all of which he saw as manifestations of violence incompatible with ahimsa. Gandhi believed ahimsa to be a creative energy force, encompassing all interactions leading one's self to find satya, " Divine Truth ".

He is utterly disappointed in himself and in the desultory life he has been leading.

The complexities of Venetian politics eluded him, but the story of the revolution itself is told in restrained measures, with no superfluous passages and only an occasional overemphasis of the part played by its leading figure.

Prof. C. H. Dodd, 76, a Congregational minister and a leading authority on the New Testament, is general director of the project and chairman of the New Testament panel.

This is a common symptom and the cause usually is pressure on the nerve leading to the affected hand.

Hustler ( Knight Dream-Torkin ) is a playful bay rascal of a colt, not the best gaited, but he surely can pace and is right there with them, and sometimes leading them, in the best miles.

Religion at its best is out in front, ever beckoning and leading on, and, as Lippman put it, `` mobilizing all man's scattered energies in one triumphant sense of his own infinite importance ''.

A work so broad, even when it is directed by a leading idea and informed by a moral vision, must necessarily `` fail ''.

This opinion is supported by one of the nation's leading psychiatrists, Dr. Maurice E. Linden, director of the Mental Health Division of the Philadelphia Department of Public Health.

`` The important thing from now on '', he said, `` is not to mourn the past but to seize the future opportunity to prevent the loss in northern Viet Nam from leading to the extension of Communism throughout Southeast Asia ''.

Splendid, too, is the performance of Yuri Tolubeyev, one of Russia's leading comedians, as Sancho Panza, the fat, grotesque `` squire ''.

Dolores Hart, is charming in a leading role, and quite believable.

Alain Connes is one of the leading specialists on operator algebras.

However, actual rainfall from year to year is irregular and occasionally may be less than, leading to severe reductions in crop yields for both rain-fed and irrigated agriculture.

Much of the Alpine culture is unchanged since the medieval period when skills that guaranteed survival in the mountain valleys and in the highest villages became mainstays, leading to strong traditions of carpentry, woodcarving, baking and pastry-making, and cheesemaking.

* 1859 – Petroleum is discovered in Titusville, Pennsylvania leading to the world's first commercially successful oil well.

One of the most fascinating and intriguing aspects of Ancestral Puebloan infrastructure is at Chaco Canyon and is the Chaco Road, a system of roads radiating out from many great house sites such as Pueblo Bonito, Chetro Ketl and Una Vida, and leading towards small outlier sites and natural features within and beyond the canyon limits.