(" 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 Raymond and the other leaders often quarrelled with each other over the leadership of the crusade, Adhemar was always recognized as the spiritual leader of the crusade.

Whilst it may not have been as popular as the Spectrum, Commodore 64 or Amstrad CPC, it did sell in sufficient numbers to ensure that new software was being produced right up until the early 1990s.

Whilst at Monmouth he was later, for a shorter period, also the Archbishop of Wales.

Whilst in Baghdad, ` Abdu ' l-Bahá composed a commentary at the request of his father on the Muslim tradition of " I was a Hidden Treasure " for a Súfí leader named ` Alí Shawkat Páshá.

Whilst these events around Blenheim and Lutzingen were taking place, Marlborough was preparing to cross the Nebel.

Whilst awaiting trial, Kidd was confined in the infamous Newgate Prison and wrote several letters to King William requesting clemency.

Whilst his early work was rooted in traditional late-19th century romantic Italian opera, he successfully developed his work in the ' realistic ' verismo style, of which he became one of the leading exponents.

Whilst GATT was a set of rules agreed upon by nations, the WTO is an institutional body.

Whilst the general public was not aware of nature observation ( formally conducted as field research ) during the 1930s, practitioners of the hobby went on to become the pioneers of the conservation movement that flourished in the UK from 1965 onwards ; a movement that eventually became a global political movement within a generation's timespan.

Whilst this was primarily an English event, the so-called " Glorious Revolution " had a great impact on Scottish history.

Whilst members of the dynasty reigned over monarchies, and, eventually, the whole of the Holy Roman Empire, the Hohenstaufen coat of arms was used as a breast shield on the empire ’ s coat of arms.

Whilst Holt stated that his friendship with Johnson was reflected in the strong relationship between Australia and the US, former Australian diplomat and foreign affairs expert Alan Renouf was more cynical in his assessment of the situation.

Whilst Humayun succeeded in protecting Agra from Sher Shah, the second city of the Empire, Gaur the capital of the vilayat of Bengal, was sacked.

Whilst he was thus deeply engaged at a tavern, he was called on by a grenadier, who desired his immediate attendance on his colonel ; but no entreaties could prevail on the disciple of Aesculapius to postpone his sacrifice to Bacchus.

Whilst editor of the paper, Marx and the other revolutionary socialists were regularly harassed by the police, and Marx was brought to trial on several occasions, facing various allegations including insulting the Chief Public Prosecutor, committing a press misdemeanor, and inciting armed rebellion through tax boycotting, although each time he was acquitted.

Whilst at Cambridge, he was treasurer of the Cambridge University Socialist Society and canvassed for the Labour candidate for Cambridge in the 1931 election.

Whilst his work was far less political than key figures in Berlin Dada, such as George Grosz and John Heartfield, he would remain close friends with various members, including Hannah Hoch and Raoul Hausmann for the rest of his career.

Whilst this was dubious in terms of batting technique, it seemed the best way to cope with the barrage, and Bradman averaged 56. 57 in the series ( an excellent average for most, but well short of his career average of 99. 94 ), while being struck above the waist by the ball only once.

Whilst the Old Trafford pitch was not as suited to bodyline as the hard Australian wickets, Martindale did take 5 for 73, but Constantine only took 1 for 55.

Whilst the Soviet ambassador in Washington suspected that the Marshall Plan could lead to the creation of an anti-Soviet bloc, Stalin was open to the offer.

Whilst the amounts involved have not been publicly disclosed, it is believed that neither Daimler nor Sony recouped all of their original investments ( what Daimler managed to get was reportedly well short ).