(" 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 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 this was an issue for monophonic synthesizers, the limited number of oscillators ( typically 3 or fewer ) meant that keeping instruments tuned was a manageable task, often performed using dedicated front panel controls.

Whilst carrying out the task Susan encounters Alydon, the Thal leader who left the vials.

Whilst the military junta was redeploying the assault units back to their home bases they found the British responded with a large-scale mobilisation to organise a naval task force and ground forces to retake the islands by force.

Whilst the NAA took over the administrative task of test delivery, QCA retained their role in regulating testing standards.

Whilst realising that this act would save the lives of his party, he refused to go himself, aware that the task of maintaining British prestige was vested in him.

Whilst GTD material is careful to remain technologically neutral and advises people to start with a paper-based system, many task management tools claim to be GTD compliant.

Whilst the mongooses completed this task, they also disposed of pretty much all the birdlife of the island.

Whilst declaring that " Hitchings's task is to rescue Johnson from Boswell's attentions " Will Self pointed out " The Johnson of the Dictionary was never known to Boswell, and as the older man was ill-disposed to animadvert on his younger self, Boswell got such basics as the great man's working methods on the Dictionary glaringly wrong.

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.