(" 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 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 Anah has thus retained its name for forty-two centuries the site is variously described.

Whilst the uncertainty in the atomic mass computed by time-of-flight methods in atom probe is sufficiently small to allow for detection of individual isotopes within a material this uncertainty may still, in some cases, confound definitive identification of atomic species.

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 population remains small, the impact of transfers will be greater, it is for that reason that the establishment of a " metapopulation management plan " occurs concurrently with conservation initiatives to enhance in-situ population growth and why this initiative is both urgent and fundamental to the future survival of mountain bongo in the wild.

Whilst distractions like background noise, poor lighting or an environment which is too hot or cold can all affect people's morale and concentration, which in turn interfere with effective communication.

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 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 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 terms are often used interchangeably, branding is more strictly related to the identifying mark or trade name for a product or service, whereas corporate identity can have a broader meaning relating to the structure and ethos of a company, as well as to the company's external image.

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

Whilst depictions of the deity vary, he is always shown with either horns or antlers upon his head, often depicted as being theriocephalic, in this way emphasizing " the union of the divine and the animal ", the latter of which includes humanity.

Whilst the Horned God is the most common depiction of masculine divinity in Wicca, he is not the only representation.

Whilst municipal law is hierarchical or vertical in its structure ( meaning that a legislature enacts binding legislation ), international law is horizontal in nature.

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

* 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 this theory is today widely disputed and discredited by historians like Norman Cohn, Keith Thomas and Ronald Hutton, it has had a significant effect in the origins of Neopagan religions, primarily Wicca, a faith she supported.

Whilst recording the album Kerstin became pregnant so the other members formed De-Senser to keep the ball rolling until they could tour again.

Whilst at the club he again tried a pop music career, joining team mate Basile Boli in recording a song entitled We've Got a Feeling.

Whilst the weight and diameter of the coin were unchanged, the metal composition was changed in 1920 from 0. 925 silver to 50 % silver, 40 % copper, 10 % nickel, then again in 1922 to 50 % silver, 50 % copper, and again in 1927 to 50 % silver, 40 % copper, 5 % nickel, 5 % zinc.

Whilst up on Leanen Hill at her grandmother's suggestion, Molly learns that Tim has run away and resolves to find him again.

Whilst these have not been used for ancient Greek polytheism worship for many centuries, in recent years Greek neo-Polytheists have begun to use them again.

Whilst Everton's league form flourished again, their record in the FA Cup under Moyes did not improve: in the third round they crashed out 4 – 1 to Blackburn Rovers.

In the last novel, it is implied that the gunslinger's mostly cold, ruthless nature is alleviated slightly every time he reaches the Dark Tower and begins his journey again — Whilst his memories are erased, his personality changes in reflection of the experiences of each quest.

Whilst attending a fundraiser for the charity Medical Aid for Palestinians ( MAP ) in January 2009, she vowed never to work for the BBC again after their refusal to broadcast an emergency charity appeal for the victims of Israel's attack on Gaza on 27 December 2008.

Whilst negative criticism was directed towards some scenes and areas of the script which were considered unrealistic or ' corny ', positive reception was again directed towards the acting, in particular Brad Dourif who was again praised for his voice-acting of Chucky.

Whilst Bradford City prospered in the 2nd Division – only missing out on promotion to the 1st Division in 1988 after failing to beat Ipswich Town at home on the final day of their first full season back at Valley Parade — Lincoln City suffered two successive relegations, first to the 4th Division in 1986, and again in 1987, becoming the first team to be automatically relegated from the Football League itself.

Whilst stating they would not perform live again, the band released their third full-length album, entitled Resurrected, in 2008.

Ben meets a divorced Polly again with the help of the Second Doctor in 1999 (" That Time I Nearly Destroyed The World Whilst Looking For a Dress " by Joseph Lidster, published in Short Trips: Past Tense ), where the two admit their love for each other.

Whilst playing over 70 games for the Ibrox side, he only showed glimpses of his earlier career success, and found himself yet again on the fringes of the first team.

Whilst fielding, Barnes managed to find himself in controversy again, running out Vic Richardson, the opposition captain, after the end of the over was called.

Whilst 1990's Syntonic could not boast a big hit single like its predecessor, it did again fuse dance tracks with original songs such as Jimmy Soul's " If You Wanna Be Happy " on the song "( Could've Said ) I Told You So " and Canadian band Trooper's " We're Here For A Good Time " on " Time ".

Whilst with Derby, he won a solitary cap for England, playing for 60 minutes against the Republic of Ireland on 8 September 1976, out of position on the left wing, but fell out with coach Don Revie after being substituted and he was never picked again.

Whilst it was successfully invaded by the Tatars again in 1382, the massive fortification suffered no damage.

Whilst he is away, Kelly sleeps with Scott again after meeting him at a hotel and they admit their love for each other, sending Kelly into a deep depression.