It was in York that Alcuin formed his love of classical poetry, though he was sometimes troubled by the fact that it was written by non-Christians.

In fact, a dictum of classical physics states that in nature everything is continuous.

This and related predictions follow from the fact that light follows what is called a light-like or null geodesic — a generalization of the straight lines along which light travels in classical physics.

In the process, many fragments of classical learning are preserved which otherwise would have been hopelessly lost ; " in fact, in the majority of his works, including the Origines, he contributes little more than the mortar which connects excerpts from other authors, as if he was aware of his deficiencies and had more confidence in the stilus maiorum than his own " his translator Katherine Nell MacFarlane remarks ; on the other hand, some of these fragments were lost in the first place because Isidore ’ s work was so highly regarded — Braulio called it quecunque fere sciri debentur, " practically everything that it is necessary to know "— that it superseded the use of many individual works of the classics themselves, which were not recopied and have therefore been lost: " all secular knowledge that was of use to the Christian scholar had been winnowed out and contained in one handy volume ; the scholar need search no further ".

In fact, his interest in the geometry of differential equations was first motivated by the work of Carl Gustav Jacobi, on the theory of partial differential equations of first order and on the equations of classical mechanics.

However, because the intuitionistic notion of truth is more restrictive than that of classical mathematics, the intuitionist must reject some assumptions of classical logic to ensure that everything he proves is in fact intuitionistically true.

The changes that took place at the beginning of the 20th-century are emphasized by the fact that many modern disciplines, including sciences such as physics, mathematics, neuroscience and economics, and arts such as ballet and architecture, call their pre-20th century forms classical.

With the omission of the law of the excluded middle as an axiom, the remaining logical system has an existence property which classical logic does not: whenever is proven constructively, then in fact is proven constructively for ( at least ) one particular, often called a witness.

Biblical scholar F. F. Bruce has said " the evidence for our New Testament writings is ever so much greater than the evidence for many writings of classical authors, the authenticity of which no one dreams of questioning ... It is a curious fact that historians have often been much readier to trust the New Testament records than have many theologians.

In fact, all measures derived from classical test theory are dependent on the sample tested, while, in principle, those derived from item response theory are not.

Although this fact may seem to indicate that qubits can hold exponentially more information than their classical counterparts, care must be taken not to overlook the fact that the qubits are only in a probabilistic superposition of all of their states.

They also claim that the belief that solar deities are primarily male is linked to the fact that a few better known mythologies ( such as those of late classical Greece and late Roman mythology ) rarely break from this rule, although closer examination of the earlier myths of those cultures reveal a very different distribution than the contemporary popular belief.

The name is motivated by the fact that half of the signs of the classical Greek zodiac are represented as animals ( besides two mythological hybrids ).

The classical Latin pronunciation sounds like the English, occurring in biologic and anatomic names, such as Hyoscamus niger ( black henbane ), and even for animals that are not in fact black, such as Sciurus niger ( fox squirrel ).

Bertrand Russell updated the classical terminology with one more term, the fact ; " Everything that there is in the world I call a fact.

In fact, as far as prediction goes, the quantum development is at least as predictable as the classical motion, but the key is that it describes wave functions that cannot be easily expressed in ordinary language.

Both Sun Wu and Sun Bin were referred to as Sun Tzu in classical Chinese writings, and some historians believed that Sun Wu was in fact Sun Bin until Sun Bin's own treatise was discovered in 1972.

The fact that classical Greek authors often used eponymous explanations to explain away names through folk etymology makes it more likely that Ithakos derives from Ithaca rather than vice versa.

Language is also important in relation to Tranio and Lucentio, who appear on stage speaking a highly artificial style of blank verse full of classical and mythological allusions and elaborate metaphors and similes, thus immediately setting them aside from the more straightforward language of the Induction, and alerting the audience to the fact that we are now in an entirely different milieu.

The classical scholar Isaac Casaubon in De rebus sacris et ecclesiasticis exercitationes XVI ( 1614 ) showed, through an analysis of the Greek language used in the texts, that those texts which were believed to be of ancient origin were in fact much more recent: most of the " philosophical " Corpus Hermeticum can be dated to around AD 300.

The music of Spain is often associated abroad with traditions like flamenco and the classical guitar but Spanish music is, in fact, diverse from region to region.

In the Five Temperaments theory, the classical Phlegmatic temperament is in fact deemed to be a neutral temperament, whereas the " relationship-oriented introvert " position traditionally held by the Phlegmatic is declared to be a new " fifth temperament.

It also is possible that Bede had the date of Æthelberht ’ s death wrong ; if, in fact, Æthelberht died in 618, this would be consistent with his baptism in 597, which is in accord with the tradition that Augustine converted the king within a year of his arrival.

In the fifth century, Pope Dioscorus, the Patriarch of Alexandria, rejected certain Christological dogmas promulgated by the Council of Chalcedon, and as a result, the Oriental Orthodox churches split from the rest ; however they continued the episcopal tradition, and today in fact there is dialog between the various orthodox churches over whether the schism was due to real differences or simply translation failures.

The specific feature in Japan has been the fact that these marriages have been soon incorporated as elements of tradition which controlled the marriages of later generations, though the original practical alliance had lost its real meaning.

" Although tradition ascribes the biblical writings to times and authors contemporaneous with events, they were in fact pseudonymous, written in many cases after the times they describe and by authors with a religious and nationalist agenda, and it is therefore important to treat them with circumspection.

The tradition that the Island was called Caesarea by the Romans appears to have no basis in fact.

Scholars defending Luke's authorship say there is no reason for early Christians to attribute these works to such a minor figure if he did not in fact write them, nor is there any tradition attributing this work to any other author.

Little else is known about his childhood, although there is a persistent tradition that he was educated by his maternal great-grandfather Jean de St. Rémy — a tradition which is somewhat undermined by the fact that the latter disappears from the historical record after 1504, when the child was only one year old.

The shrine of Dodona was the oldest Hellenic oracle, according to the fifth-century historian Herodotus and in fact, dates to pre-Hellenic times, perhaps as early as the second millennium BC when the tradition probably spread from Egypt.

This condemnation was subsequently confirmed by Leo II ( a fact disputed by such persons as Cesare Baronio and Bellarmine, but which has since become commonly accepted ) in the form, " and also Honorius, who did not attempt to sanctify this Apostolic Church with the teaching of Apostolic tradition, but by profane treachery permitted its purity to be polluted ".

This newly established Danish interest in British cask beer and the British pub tradition is reflected by the fact that some 56 British cask beers were available at the 2008 European Beer Festival in Copenhagen, which was attended by more than 20, 000 people.

Louisiana, a state that derives its legal tradition from the Spanish and French ( as opposed to English common law ), employs a system of fact pleading wherein it is only necessary to plead the facts that give rise to a cause of action.

The book was rejected by publishers in Sweden prompting an open letter in 2003 defending Johnstone's book ( and her right to publish ) which was signed by, among others, Noam Chomsky, Arundhati Roy, Tariq Ali and John Pilger: " We regard Diana Johnstone ’ s Fools ’ Crusade as an outstanding work, dissenting from the mainstream view but doing so by an appeal to fact and reason, in a great tradition.

In fact, the fame of Arthur's entourage became so prominent in Welsh tradition that in the later additions to the Welsh Triads, the formula " Arthur's Court " in the titles of the triads began to supersede the older " Island of Britain " formula.

In fact it has distorted that tradition beyond recognition.

However, Scotland has a tradition of popular sovereignty as opposed to parliamentary sovereignty and the fact that the Scottish parliament was established following a referendum would make it politically difficult to significantly alter its powers without popular consent.

Because there are no accounts of the custom in Great Britain prior to the 17th century, some historians and folklorists have theorised that it was not an ancient British custom but was in fact imported into Britain from continental Europe in the early modern period, possibly from Flanders in Belgium, where the tradition thrived in this period.

Although it has been often interpreted by historians as the struggle between two rival French right-wing families ( the Bonapartists, represented by Chirac, and the Orleanists, represented by VGE ), both figures in fact were members of the Liberal, Orleanist tradition, according to historian Alain-Gérard Slama.

As such the term does not describe any single communion or common religious tradition and in fact some " Eastern " churches have more in common historically and theologically with " Western " Christianity than with one another.

Louis had him crowned at Reims in 1179, in the Capetian tradition ( Philip would in fact be the last King so crowned ).

The Philistines, while an integral part of the Canaanite milieu, do not seem to have been ethnically homogenous with the Canaanites ; the Hurrians ( who spoke a language isolate ), Hittites ( Indo-European speakers ), as well as the Semitic Aramaeans, Moabites, and Ammonites, are also considered " distinct " from generic Canaanites / Amorites, in scholarship or in tradition ( although in the Biblical Book of Nations, " Heth ", Hittites are a son of Canaan, despite the fact that it has been proven beyond doubt that the Hittites spoke an Indo-European language ).

" His career coincided with the ascendency of dramatic styles of poetry, as embodied in the works of Aeschylus or Sophocles, and he is in fact one of the last poets of major significance within the more ancient tradition of purely lyric poetry.

They argue that the author adds imaginative details such as the thirty pieces of silver, and the fact that Judas hangs himself, to an earlier tradition about Judas ' death .< ref >

In fact, the figures and arrangement of modern Scottish country dances, while derived from a 300-year tradition, make it difficult to generalize because many newer dances feature new ideas such as partner changes ( you dance with a new partner on each new time through the dance, as in " Nighean Donn " ( by Peter Hastings ) or " Caddam Wood " ( by John Mitchell )), palindromic structure ( the sequence of figures is similar seen from the end to the beginning as it is seen from the beginning to the end, as in " The White Heather Jig " by Cosh ), fugues ( the sequence of figures for each couple is intricately intertwined to resemble the structure of a musical fugue ), canons ( a new couple begins their time through even though the couple before have not finished theirs yet ) and others, such as John Drewry's " Crossing the Line ", where the bottom of the set becomes the top for the next time through.

The name of Barcelona's hill thus refers to the popular tradition that it was in fact the exceedingly high mountain itself.