(" 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 on the desk Jon referred to and shook the hand of Jackie Chan who was given a copy of the album Acme.

Whilst working for the CIA, Chan Ka-Kui ( played by Jackie Chan ) is assigned to follow leads of a nuclear smuggling case.

Whilst in prison, Cowans earned money cleaning up biohazards until he could afford to have the evidence against him tested for DNA.

Whilst the Galaxy earned their second MLS Cup trophy, and the Houston Dynamo earned consecutive cups, the New England Revolution went on an infamous run of making three consecutive MLS Cup finals, losing all of them in the process.

Whilst in the house of Mahmud Khan she earned respect from women around Tehran who flocked to see her and even the Mahmud Khan himself.

Whilst in the Peninsula the regiment earned the nicknames the " Old and Bold ," " The Fighting Fifth ," and also " Lord Wellington's Bodyguard.

Whilst at Cambridge, he also became known as " Sage ", a nickname given to him about 1920 by a young woman working in C. K. Ogden's Bookshop at the corner of Bridge Street.

Whilst at Solihull he was Head Boy, Head of CCF and captain of rugby, cricket, hockey and athletics.

Whilst it does recognise the validity of the orders of certain groups which separated from communion with Holy See.

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 Laura Mulvey's paper has a particular place in the feminist film theory, it is also important to note that her ideas regarding ways of watching the cinema ( from the voyeuristic element to the feelings of identification ) have been very important in terms of defining spectatorship from the psychoanalytical view point.

Whilst being part of the European Union, the British overseas territory of Gibraltar has a separate legal jurisdiction from the United Kingdom and enjoys a different tax system.

Whilst a few social scientists who draw inspiration from ' organic ' views of society have embraced Gaia philosophy as a way to explain the human-nature interconnections, most professional social scientists are more involved in reflecting upon the way Gaia philosophy is used and engaged with within sub-sections of society.

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 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 agreeing with ( 2 ) Searle argues that ( 1 ) is false and points out that ( 3 ) does not follow from ( 1 ) and ( 2 ).

Whilst in Vienna, working to aid refugees from Nazi Germany, Philby met and fell in love with Litzi Friedmann ( born Alice Kohlmann ), a young Austrian Communist of Hungarian Jewish origins.

Whilst on a short trip back from Spain, Philby tried to recruit Flora Solomon, daughter of a Russian banker and gold dealer, a relative of the Rothschilds and wife of a London stockbroker, as a Soviet agent.

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 Alberti's treatises on painting and architecture have been hailed as the founding texts of a new form of art, breaking from the gothic past, it is impossible to know the extent of their practical impact within his lifetime.

Whilst neither intended to move out, both felt it preferable to rent the space from new owners rather than continue to be the owners themselves ( and so be responsible for the buildings ' upkeep and maintenance ).

Whilst meantime, in Nazi-occupied Poland, the Council of National Unity was set up ; this body functioned from 1944 to 1945 as the parliament of the Polish Underground State.

Whilst nudity and the practice of witchcraft have long been associated in the visual arts, this contemporary ritual nudity is typically attributed to either the influence of Gerald Gardner or to a passage from Aradia, or the Gospel of the Witches, and as such is mainly attributed to the Gardnerian and Aradian covens.

Whilst greed is a recurring theme in the novel, with many of the episodes stemming from one or more of the characters ' simple desire for food ( be it trolls eating dwarves or dwarves eating Wood-elf fare ) or a desire for beautiful objects, such as gold and jewels, it is only by the Arkenstone's influence upon Thorin that greed, and its attendant vices " coveting " and " malignancy ", come fully to the fore in the story and provide the moral crux of the tale.

Whilst this story might be quoted as part of a justification for moving from act to rule utilitarianism McCloskey anticipates this and points out that each rule has to be judged on its utility and it is not at all obvious that a rule with exceptions has less utility.

Whilst hierarchy is quickly established between individuals from a single group, this is not the case with organisms from different groups ; these are substantially more aggressive and very rarely climb one another or form aggregates.

Whilst on this campaign Manuel received a letter from Louis VII of France announcing his intention of leading an army to the relief of the crusader states.

Whilst Edward mobilised his own faction and placed Leeds castle under siege, Isabella was given the Great Seal and assumed control of the royal Chancery from the Tower of London.

Whilst attending a congress of neurologists in Amsterdam in 1907, Jones met Carl Jung from whom he received a first-hand account of the work of Freud and his circle in Vienna.

Whilst widely criticised at the time, over the longer term the decision can be seen as a logical culmination of the withdrawal from Britain's colonial-era political and military commitments in Asia, the Middle East, Africa and elsewhere that had been underway under British governments of both parties since the Second World War – and of the parallel switch of Britain's emphasis to its European identity.

Whilst this is difficult to detect by touch, this may not be necessary in order to distinguish it from other coins, given its size.