(" the truth-values of our mathematical assertions depend on facts involving platonic entities that reside in a realm outside of space-time ") Whilst our knowledge of concrete, physical objects is based on our ability to perceive them, and therefore to causally interact with them, there is no parallel account of how mathematicians come to have knowledge of abstract objects.

Whilst the magnification of both the field ion and atom probe microscopes is extremely high, the exact magnification is dependant upon conditions specific to the examined specimen, so unlike for conventional electron microscopes, there is often little direct control on magnification, and furthermore, obtained images may have strongly variable magnifications due to fluctuations in the shape of the electric field at the surface.

Whilst there, the Greek army surprised and outmaneuvered Artaphernes, marching to Sardis and burning the lower city.

Whilst there, the Queen met with Bernard of Clairvaux, demanding that he have the excommunication of Petronilla and Raoul lifted through his influence on the Pope, in exchange for which King Louis would make concessions in Champagne, and recognise Pierre de la Chatre as archbishop of Bourges.

Whilst human geography is interdisciplinary, there are a number of journals with a human geography focus.

Whilst there, he staged regular Merz recitals, including a performance of Silence, his first poem in English, but was apparently seen as a somewhat pathetic irrelevant figure by other artists at the camp.

Whilst prices have reduced and availability has increased considerably since the introduction of competition, there is little sign of TPSA's market share being seriously reduced.

Whilst Anglican priests who are members of religious orders must remain celibate ( although there are exceptions, such as priests in the Anglican Order of Cistercians ), the secular clergy – ( bishops, priests, and deacons who are not members of religious orders ) – are permitted to marry before or after ordination.

Whilst on the surface the new Potsdamer Platz appears so far to have lived up to its expectations as a futuristic centre of commerce at the heart of Europe's youngest capital city, there has been much debate as to just how successful it really is.

Whilst the action of rowing and equipment used remains fairly consistent throughout the world, there are many different types of competition.

Whilst there is little evidence to invalidate the letter as a whole, both the recipient ( s ) of the letter and whether such a letter actually nominates Barbastro as the first ' crusade ' are still a matter of dispute.

Bahā ' ad-Dīn writes, " Whilst we were there they brought two Franks to the Sultan ( Saladin ) who had been made prisoners by the advance guard.

Whilst the terms spirituality and religion both relate to a search for an Absolute or God, and thus have much overlap, there are also characteristic differences in their usage.

Also in S6: E5 Whilst the boys are watching the TV there are many cans of soda with the name " ZOOP " on them.

Whilst the styles were similar, there are some notable differences between both Rococo and Baroque architecture, one of them being symmetry, since Rococo emphasised the asymmetry of forms, whilst Baroque was the opposite.

(" the truth-values of our mathematical assertions depend on facts involving platonic entities that reside in a realm outside of space-time ") Whilst our knowledge of concrete, physical objects is based on our ability to perceive them, and therefore to causally interact with them, there is no parallel account of how mathematicians come to have knowledge of abstract objects.

Whilst there his task is a simple assignment to investigate the disappearance of Commander John Strangways, the head of MI6 Station J in Kingston, Jamaica, and his secretary.

Whilst anchored in Cumberland Bay, Robinson Crusoe Island, the Dresden was trapped and forced to scuttle after fighting a battle there with the British.

Whilst there, he met the American composers George Gershwin and Irving Berlin and brought Dédé to Broadway in 1922.

Whilst this elm has little innate resistance to Dutch elm disease, it is not favoured by the vector bark beetles and thus only becomes colonized and infected when there are no other choices, a rare situation in western Europe.

Whilst there, Telemachus is again treated as an honored guest as Menelaus and Helen tell complementary, yet contradictory stories of his father's exploits at Troy.

Whilst working at the Institute, Childe took up residence at Lawn Road Flats near to Hampstead, an apartment block perhaps recommended to him by the popular crime fiction author Agatha Christie ( the wife of his colleague Max Mallowan ), who had lived there during the Second World War.

Whilst there is no specific form of words provided for such proclamations, they must be made ' in the Queen's name '.

Whilst the idea that there is some objective sense in which time is flowing can be denied, the fact that conscious beings feel as though it is in some sense flowing cannot.

" Whilst there, Lumley was hailed ' Daughter of Nepal ' by the crowds of fans at the airport.

Whilst many scholars feel that Shakespeare used the anonymous play The True Chronicle History of King Leir ( entered into the Stationers ' Register on 8 May 1605 ), and hence must have been written between May 1605 and December 1606, others argue that the relationship between the two plays has been inverted, and The True Chronicle History of King Leir was actually written to capitalise on the success of Shakespeare's play, which was probably written in 1603 or 1604.

Whilst Henry's intentions after the end of the siege are unclear he had clearly entered France with an army large enough to engage the French in open battle and not merely to lay siege to one town.

Whilst visiting the Dyson sphere, known as The World, despite initially mistrusting the utopian atmosphere, Roz entered another relationship with one of the People, called feLixi.

Whilst Kenzo, as pilot of the spacecraft, is forced to make a crash landing on the Martian surface and it's crew depart into different airlocks of Vita 1 base, MOOD apathetically predicts that, although three have entered, only two will leave alive.

Whilst a pupil at The Kingsway School, Gatley, Gregson entered a search for the part of one of two new cast members to join the soap Coronation Street as the ' McDonald Twins '.

Whilst members of the Independent Catholic movement take seriously the issue of valid orders, it is highly significant that the relevant Vatican Congregations tend not to respond to petitions from Independent Catholic bishops and clergy who seek to be received into communion with the Holy See, hoping to continue in some sacramental role.

Whilst the stories were shocking in their time, this affectionate portrayal of a forthright and self-assured French girl who blossoms into a charismatic adult is nowadays more likely to be regarded as chastely sensual.

Whilst Schwitters still created work in an expressionist style into 1919 ( and would continue to paint realist pictures up to his death in 1948 ), the first abstract collages, influenced in particular by recent works by Hans Arp, would appear in late 1918, which Schwitters dubbed Merz after a fragment of found text from the sentence Commerz Und Privatbank in his picture Das Merzbild, Winter 1918 – 19.

Whilst only a few economics graduates may be expected to become professional economists, many find it a base for entry into a career in finance – including accounting, insurance, tax and banking, or management.

Whilst looking for the automaton table, Buford, Leo, Jason, and Piper run into the Maenads, who were searching for Dionysus.

Whilst remaining an integral part of France, Algeria was to be divided into five districts, each of which would have a territorial assembly elected from a single slate of candidates.

Whilst battling Green Lanterns, the Alpha Lanterns tapped into the Central Power Battery and forcibly removed the charge from their opponents Power Rings.

Whilst at one level conservative — harking back in foreign policy to the period of Phillip II, invoking traditional values at home — Philip's policies were also radical, rejecting the policy towards the rebellious Dutch that had held since 1609, entering into the Thirty Years ' War, and introducing a system of junta, or small committee, government across Spain in competition to the traditional system of royal councils.

Whilst serving as second mate on the Cunard Line ship Russia, travelling from New York to Liverpool, he attempted to rescue a man overboard by diving into the sea in the mid-Atlantic.

Whilst the other five plays in the cycle were unadapted, the Henry VI plays were combined into two, using the Barton / Hall structure, with the first named The House of Lancaster and the second, The House of York.

Whilst the other five plays in the cycle were unadapted, the Henry VI plays were combined into two, using the Barton / Hall structure, with the first named The House of Lancaster and the second, The House of York.

Whilst the other five plays in the cycle were unadapted, the Henry VI plays were combined into two, using the Barton / Hall structure, with the first was named The House of Lancaster and the second, The House of York.

Whilst in some places crimp may determine which grade the fleece will be placed into, this subjective assessment is not always reliable and processors prefer that wools are measured objectively by qualified laboratories.

Whilst Gribbe's artillery continued to shell No. 1 redoubt, the Russian columns under Levutsky, Semyakin, and Skyuderi began to move into the North Valley.

Whilst in every other European country except the Polish-Lithuanian Commonwealth and England the ancient popular representation by estates was about to disappear altogether, in Sweden under Gustavus Adolphus it grew into an integral portion of the Constitution of Sweden.

Whilst the pia mater closely follows the surface of the brain and dips into the sulci, the arachnoid bridges across them from gyrus to gyrus.

Whilst doing this new work, Szpilman was permitted to go out into the Gentile side of Warsaw.

Whilst in decline in manufacture since the advent of shortboard course racing ( which evolved into Formula ) there remains some models in production and most notably the IMCO One Design remains popular amongst amateur racing clubs.

Whilst the reduction of the peacetime strength of the German army from 780, 000 ( 1913 ) to 100, 000 actually enhanced the quality of the Reichsheer ( only the best would be permitted to join the army ) the changing face of warfare meant that the smaller army was largely helpless without mechanised and aerial support, no matter how much effort was put into modernising infantry tactics.

Whilst the intermediate / ultimate categorization is used by marketers, market regulation, and economists, in the world of customer service customers are categorized more often into two classes:

Whilst trying to bring more of their land into use to alleviate their poverty, Shamu's arms are crushed by a boulder.

Whilst a cutter or spreader tool is designed for a particular application, a combination tool, or combi-tool as popularly referred to by the fire department, is also available which combines the cutting and spreading functions of separate tools into a single tool.

Whilst the main interface has largely remained unchanged since its inception, additional features such as the chat room ' ticker ' were introduced into the 156 version.

Whilst Flybe holds the most flights into and out of Birmingham, Monarch carry the most passengers, which will further be increased over the next 12 months with the introduction of a number of new routes and frequencies.