According to Husserl the suspension of belief in what we ordinarily take for granted or infer by conjecture diminishes the power of what we customarily embrace as objective reality.

According to the conjecture, most coprime triples where a + b = c are like the ones used in this example, and for only a " few " exceptions is c > d < sup >( 1 + ε )</ sup >.

According to the Church-Turing thesis, any effectively calculable function is calculable by a Turing machine, and thus a set S is recursively enumerable if and only if there is some algorithm which yields an enumeration of S. This cannot be taken as a formal definition, however, because the Church-Turing thesis is an informal conjecture rather than a formal axiom.

According to the Hilbert – Pólya conjecture, the complex zeroes ρ should be the eigenvalues of some linear operator T. The sum over the zeros of the explicit formula is then ( at least formally ) given by a trace:

According to author Phillip Sugden in The Complete History of Jack the Ripper, the conjecture that the murders were committed by the same hand originated in October, 1888, when an editor with the Atlanta Constitution proposed the conjecture following the murders of Stride and Eddowes by Jack the Ripper.

According to Plutarch, Seleucus even proved the heliocentric system, but it is not known what arguments he used ( except that he correctly theorized on tides as a result of Moon's attraction ).

According to the theorem, within every sufficiently powerful logical system ( such as Principia ), there exists a statement G that essentially reads, " The statement G cannot be proved.

According to one chronicler, Richard's last act of chivalry proved fruitless ; in an orgy of medieval brutality, the infamous mercenary captain Mercadier had the crossbowman flayed alive and hanged as soon as Richard died.

According to Aragonés, this proved to be a mistake, since Prohías knew even less English than he.

According to Plutarch, Seleucus even proved the heliocentric system, but it is not known what arguments he used.

According to a Defense Prisoner of War / Missing Personnel Office ( DPMO ) white paper, 1, 394 names were also transmitted during " Operation Glory " from the Chinese and North Koreans, of which 858 proved to be correct.

According to Szasz, “ the therapeutic state swallows up everything human on the seemingly rational ground that nothing falls outside the province of health and medicine, just as the theological state had swallowed up everything human on the perfectly rational ground that nothing falls outside the province of God and religion .” Faced with the problem of “ madness ,” Western individualism proved to be ill prepared to defend the rights of the individual: modern man has no more right to be a madman than medieval man had a right to be a heretic because if once people agree that they have identified the one true God, or Good, it brings about that they have to guard members and nonmembers of the group from the temptation to worship false gods or goods.

According to ancient sources, the earliest reference to Tarasis dates back to 464, when he put his hands on some letters written by Aspar's son, Ardabur, which proved that the son of the magister militum had incited the Sassanid King to invade Roman territory, promising to support the invasion.

According to historian and former Special Assistant to President Kennedy Arthur Schlesinger, Jr., Rusk was not Kennedy's first choice, but rather the " lowest common denominator ", as Kennedy's first choice, J. William Fulbright, proved too controversial.

According to the Continental annalists, the English proved as offensive to their allies as to their enemies in the field.

According to William Hutchinson a commission, had been issued in 1576 or 1577 to examine matters of complaint against him, but had proved ineffectual because the Earl of Huntingdon and Matthew Hutton sided with the dean against the third commissioner, Sandys.

According to the Army Times, the Army is shifting its doctrine to favour ground-attack aircraft over attack helicopters for deep strike attack missions because ground-attack helicopters have proved to be highly vulnerable to small-arms fire ; the U. S. Marine Corps has noted similar problems.

According to Cicero, the Romans considered themselves the most religious of all peoples ; and their extraordinary success proved it.

According to Kant's idealism, " hat is proved is not, as in spiritualism, the knower's independence of matter, but the dependence of all matter on the knower.

According to other sources, Farkas Bolyai and Gerwien had independently proved the theorem in 1833 and 1835, respectively.

According to legend, she was accused of adultery with Bishop Ælfwine of Winchester, but proved her innocence by walking barefoot unharmed over burning ploughshares.

According to the theorem was proved in 1938, but was not published until 1961 in an apparently more general form.

* According to the US-Israeli organisation MEMRI, in a speech aired on Al-Manar and Al-Jazeera in 2006, Nasrallah expressed support for alleged Holocaust denier Roger Garaudy calling him a " great French philosopher " who " proved ( sic ) that this Holocaust is a myth ".

According to the International Swaps and Derivatives Association ( ISDA ), who organised them, auctions have recently proved an effective way of settling the very large volume of outstanding CDS contracts written on companies such as Lehman Brothers and Washington Mutual.

According to the book, The Big Lie, by Garry Boulard ( 2001 ), Long proved instrumental in charges levied against gubernatorial candidate Hale Boggs of New Orleans in the 1951-1952 campaign that Boggs was a communist.

According to him, relations of ideas can be proved with certainty ( by using other relations of ideas ), however, they don't really mean anything about the world.

According to modern English physician and writer Jan Bondeson, " Marocco was a small, muscular horse with remarkable litheness and agility ; he also proved particularly intelligent and easy to educate.

According to the Appellate Court, the owners of 12, 000 properties in the class-action area had not proved their properties were damaged or they suffered bodily injury from plutonium that blew onto their properties.

According to the principle of partus sequitur ventrem, since the mother had been proved a free woman at the time of her daughter's birth, Lucy also gained her freedom.

According to his book Harpoon at a Venture ( 1952, since republished under various titles ), bad planning and a lack of finance meant his attempt to establish a basking shark fishery there between 1945-48 proved unsuccessful.

According to William Ringler's study, Stephen Gosson, the theater business in London had become a thriving enterprise by 1577, and, in the opinion of many, a thoroughly bad business.

According to the official interpretation of the Charter, a member cannot be penalized by not having the right to vote in the General Assembly for nonpayment of financial obligations to the `` special '' United Nations' budgets, and of course cannot be expelled from the Organization ( which you suggested in your editorial ), due to the fact that there is no provision in the Charter for expulsion.

According to Friends, the unit was organized by John Snook, a former World War 2, commando who is vice president and general manager of the telephone company.

According to the myth, Old Order then vanishes at stage left and reappears at extreme stage right, but Director Shuz skillfully sidesteps the rather gooshey problem of stage effects by simply having Miss Arapacis walk across the stage.

According to Philippoff, the recoverable shear S is given by Af where **yc is the angle of extinction.

According to this doctrine, the universe was ruled by Heaven, T'ien -- as a natural force, or in the personification of a Supreme Sky-god -- governing all things by means of a process called the Tao, which can be roughly interpreted as `` the Order of the Universe '' or `` the Universal Way ''.

According to the definition by IUPAC, the former two are alkanes, whereas the third group is called cycloalkanes.

According to the Catholic Encyclopedia, an Allocution is a solemn form of address or speech from the throne employed by the Pope on certain occasions.

According to M. Forrest, the French knights were so encumbered by their armour that they were exhausted even before the start of the battle.

According to a research report by the Centers for Disease Control and Prevention, Oran was decimated by the plague in 1556 and 1678, but outbreaks after European colonization, in 1921 ( 185 cases ), 1931 ( 76 cases ), and 1944 ( 95 cases ), were very far from the scale of the epidemic described in the novel.

( Despite common belief, he did not take a day from February ; see the debunked theory on month lengths ) According to a Senatus consultum quoted by Macrobius, he chose this month because it was the time of several of his great triumphs, including the conquest of Egypt.

According to Vahram Nercissiantz, President Serzh Sargsyan's chief economic adviser, " Businessmen holding state positions have turned into oligarchs who have avoided paying sufficient taxes by abusing their state positions, distorted markets with unequal conditions, breached the rules of competition, impeded or prevented small and medium-sized business ’ entry into manufacturing and thereby sharply deepened social polarization in the republic.

According to the estimate of a former prime minister, Hrant Bagratian, 55 percent of Armenia's GDP is controlled by 44 families.

According to official figures, Armenia ’ s economy grew by 13. 8 percent in 2007.

According to research funded by the USAID CAPS project, Armenia's exceptionally high rate of economic growth during the last decade has been largely dependent on external factors ( e. g., remittances, assistance from international financial and donor organization ).

According to the Central Bank of Armenia, during the first half of 2008, cash remittances sent back to Armenia by Armenians working abroad rose by 57. 5 percent and totaled $ 668. 6 million USD, equivalent to 15 percent of the country's first-half Gross Domestic Product.

According to the National Statistical Service, during the January – August 2007 period, Armenia's industrial sector was the single largest contributor to the country's GDP, but remained largely stagnant with industrial output increasing only by 1. 7 percent per year.

According to official Armenian statistics, it rose by 11 percent to $ 91. 6 million in January – November 2010.

According to research commissioned by the Yerevan office of the Organization for Security and Co-operation in Europe ( OSCE ), at least one in three working-age Armenians was unemployed as of February 2005 despite several consecutive years of double-digit economic growth.

According to estimates by the National Statistical Survey, the rate of labor emigration was twice as higher in 2001 and 2002.

According to the teaching of Arius, the preexistent Logos and thus the incarnate Jesus Christ was a created being ; that only the Son was directly created and begotten by God the Father, before ages, but was of a distinct, though similar, essence or substance from the Creator ; his opponents argued that this would make Jesus less than God, and that this was heretical.

According to Arminius, " God regards no one in Christ unless they are engrafted in him by faith.