(" 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 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.

(" 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 providing no extra protection against wideband thermal noise, the frequency-hopping approach does reduce the degradation caused by narrowband interference sources.

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

Whilst remaining de jure UVF leader after he was jailed for murder, he no longer acted as the Chief of Staff

Whilst there are no rail services in Downpatrick, Ulsterbus provides bus services to and from the Downpatrick Bus Station.

Whilst he made no commercial recordings with the orchestra, he and the BSO toured the United States, including their debut at Carnegie Hall in April 1997.

Whilst the roads are no longer used in the reserve, pieces of them line most of the length of the pits.

Whilst historians such as Yitzhak Baer state, " the conversos and Jews were one people ", Kamen claims, " Yet if the conversos were hated by the Christians, the Jews liked them no better.

Whilst visiting Belvoir castle in the 1840s Anna Maria Russell, Duchess of Bedford found that the normal time for dinner was between 7: 00 and 8: 30 p. m. An extra meal called luncheon had been created to fill the midday gap between breakfast and dinner, but as this new meal was very light, the long afternoon with no refreshment at all left people feeling hungry.

Whilst everyone else in the programme is practical and shows no emotion or sentimentality, Granville is quite the opposite and throughout the series often reflects on life passing him by.

Whilst during this supposed séance Prodi thought the word Gradoli referred to a town on the outskirts of Rome, it probably referred to the Roman address of a Red Brigades safe house, located at no.

Whilst the British Army has the capability there is no standing UK Corps organisation, forces being allocated through a number of multi-partite arrangements to the North Atlantic Treaty Organisation ( NATO ) and European commitments, providing much of the headquarters capability and framework for the multinational Allied Rapid Reaction Corps.

Whilst the album's modest initial pressing ( which included a large batch of warped editions ) sold out, it did not enter the album charts at that time, and no singles were lifted from it.

Whilst there are no universities in Farnborough, Farnborough College of Technology provides degree-level courses, accredited by the University of Surrey.

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 customers have actively dealt with a business within a particular recent period that depends from the product sold, not-customers are either past customers who are no longer customers or potential customers who choose to do business with the competition, and non-customers are people who are active in a different market segment entirely.

Whilst all seems fair at first, it is quickly discovered that the three menaces had no intent on fair play when it comes to treasure and it is revealed that Roger had in fact tied Danny's catapult to a piece of string thus yanking it away at a pinnacle moment.

Whilst Banknotes issued by the Scottish banks are legal currency, that is approved by the UK Parliament, no banknotes issued by Scottish banks, Northern Ireland banks nor the Bank of England are legal tender in Scotland.

Whilst Hoon and Byers were both banned from the House of Commons for five and two years respectively, no further action was taken against Hewitt for her part in the " Cash for Access " affair.

Whilst the former in which he appears as the Bodhisattva has no relation to his tales from the Hindu works, his role in the latter one has parallels in an important event in the Mahabharata.

Whilst there is no statistical evidence that having a commemorative plaque increases the value of a property, a Daily Mail article pointed out that it helps to make a property stand out from others, especially if there has been some publicity around it.

Whilst there may be no other accounts of the battle apart from Tacitus's account this is not unusual given the scanty nature of sources in general for this period of history.

Whilst accepting their zeal in desiring a ‘ godly society ’, some contemporary historians doubt whether the English Puritans during the English Revolution were as committed to religious liberty and pluralism as traditional histories have suggested.

Whilst many modern historians doubt that Mycale took place on the same day as Plataea, the battle may well only have occurred once the Allies received news of the events unfolding in Greece.

Whilst the intellectual robustness of Shell's long term scenarios was seldom in doubt their actual practical use was seen as being minimal by many senior Shell executives.

Whilst there is no doubt that the existence of a dedicated Corps maintaining specialist and extensive facilities has been of the greatest assistance over the years in safeguarding property after a fire, particularly in those areas of concentrated mercantile risks, the changing shape of commercial interests within the conurbation it serves and the ever widening dispersal of premises at risk leads to the unavoidable conclusion that a specialist service can no longer be justified ".

Whilst we Rave so fair an opportunity offered to participate so largely in all this wealth and enjoyment, if not to govern and direct the whole, can it be possible that doubt, or mere points of speculation, will weigh with the House and cause us to lose forever the brightest prospect ever presented to the eyes of a nation?

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 painting another large work, the Resurrection of Lazarus, his financial problems increased, and he was arrested but not imprisoned, the sheriff-officer taking his word for his appearance.

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.

Whilst agreeing that the government could not make policy in response to the blockades, William Hague, Leader of the Opposition criticised the government for having increased taxes, whilst the Liberal Democrats argued that the government should have responded to the protest much earlier.

Whilst its manufacturer in America increased from the earliest dated production, the 1720s in Yorktown, significant amounts were always imported from Britain.

Whilst the authors stressed the limitations of the study and recommended that patients prescribed Lantus continue to take the drug, the results led to the EASD making " an urgent call for more research into a possible link between use of insulin glargine ( an insulin analogue, brand name Lantus ) and increased risk of cancer.

Whilst the increased importance of capital as a factor of production following the Industrial Revolution has long been accepted even by those believing economic value derives from labour such as Marx, Kelso's figures suggesting that value was created almost entirely by capital were dismissed by academic economists like Paul Samuelson.

Whilst social enterprises have been a valuable part of the economy for many years, the social enterprise sector is seeking to capitalise on increased interest in the sector over recent years.

Whilst the submachine gun replicas typically feature a blowback mechanism similar to the pistol replicas, sniper rifle replicas usually omit the blowback mechanism in favor of reduced recoil and increased muzzle velocity.

Whilst a comparatively meager number of Macedonians lived in the few native Macedonian cities ( e. g. Aegeae, Pella, Dion ), urbanization increased by the 4th century BC as Greek colonies were conquered and integrated into Macedonia, or new towns were founded ( such as Philippi, Thessalonike and Alexandropolis ).

Whilst originally the rally required competing vehicles to have an engine displacement of less than 1, 000cc, this has been increased to 1, 200 cc to reflect the increasing difficulty of obtaining a car since the Mongolian government stipulated that all competing vehicles must be less than 10 years old.

Whilst not formally allocated at an ITU or Regional level, in Europe CEPT now recognises the increased access to 70 MHz by radio amateurs with footnote ' EU9 ' which has helped underpin further growth: