Thus intuitionists absolutely disallow the blanket assertion: " For all propositions P concerning infinite sets D: P or ~ P " ( Kleene 1952: 48 ).

Thus we are compelled to face the urbanization of the South -- an urbanization which, despite its dramatic and overwhelming effects upon the Southern culture, has been utterly ignored by the bulk of Southern writers.

Thus, paradoxically, the beat writers resort to `` religious '' metaphors: they are in search of mana, the spiritual, the numinous, but not anything connected with formal religion.

Thus, if corporations are not to run away with us, they must become quasi-governmental institutions, subject to public control and needs.

Thus Burns's `` My love is like a red, red rose '' and Hopkins' `` The thunder-purple sea-beach, plumed purple of Thunder '' although clearly intelligible in content, hardly present ideas of the sort with which we are here concerned.

Thus there are polynomials Af such that Af.

Thus the Af are projections which correspond to some direct-sum decomposition of the space V.

Thus pencils of tangents to Q are transformed into pencils of tangents.

Thus it follows that the secants of **zg are all invariant.

Thus, although the agenda of external assistance in the economic sphere are cumulative, and many of the policies suggested for nations in the earlier stages remain relevant, the basic purpose of American economic policy during the later stages of development should be to assure that movement into a stage of self-sustaining growth is not prevented by lack of foreign exchange.

Thus the first lines of one of Charles Wesley's hymns are as follows.

Thus in his friends are stranger than his sisters' strong stresses are normal for his and sisters', but in his friends are stranger than his sisters strong stresses are normal for friends and sisters.

Thus his persistence values for some stem frequencies per meaning are: stem identical in 8 languages, 100% ; ;

Thus, the white middle and lower classes are arrayed against the Negro middle and lower classes.

Thus, during any given year ( A ) if the revenues from the residential service are $7,000,000, ( B ) if the operating expenses imputed to this class of service come to $5,000,000, and ( C ) if the net investment in ( or value of ) the plant and equipment deemed devoted to this service amounts to $30,000,000, the cost analyst will report that residential service, in the aggregate, has yielded a return of $2,000,000 or 6-2/3 per cent.

Thus, in the example cited above Fromm rests his whole case on the premise that the workers are being deprived unconsciously, unknowingly, of fulfillment, and then supports this with survey data reporting conscious, experienced frustrations.

Thus, the three main categories of antisubmarine warfare operations are defense of shipping, defense of naval forces, and area defense.

Thus, the most productive areas are not necessarily the most stressed.

Thus a number of operations of the order of Af are required.

Thus, if we are to observe American folklore in the twentieth century, we will do well to establish the relationships between folklore, nationalism and imperialism at the outset.

Thus, in `` The Story Of Ruth '' we have Ruth, Naomi, and Boaz and sets that are meticulously authentic.

" Thus Boolos and Jeffrey are saying that an algorithm implies instructions for a process that " creates " output integers from an arbitrary " input " integer or integers that, in theory, can be chosen from 0 to infinity.

Thus although most species in the order are herbaceous, some no more than 15 cm high, there are a number of climbers ( e. g. some species of Asparagus ), as well as several genera forming trees ( e. g. Agave, Cordyline, Yucca, Dracaena ), some of which can exceed 10 m in height.

Thus, a week of Beetle Bailey would arrive at the Lansing State Journal in two sheets, printed much larger than the final version and ready to be cut apart and fitted into the local comics page.

Thus, with knowledge of the location of the enemy, the Romans marched upstream, ready for battle.

Thus his raid upon Dobrzyń, the latest acquisition of the knights on Polish soil, speedily gave them a ready weapon against him.

Thus, he opined that " the German government declared itself ready for friendly relations with the Soviet Union, whereas the English-French war bloc desires a war against the socialist Soviet Union.

Thus, for the regional Basque parliamentary election, 2005 the so-far marginal EHAK party announced that they were ready to bring the programs of Batasuna to the Basque regional parliament.

Thus, the individual was ready to sacrifice himself or herself for his or her community, as his or her life without the polis had no sense whatsoever.

Thus, tape-based home users, the only users who might still have been interested in the Plus / 4's less-capable but built-in and instantly ready software, were shut out from the package.

Thus the bomber squadrons of Flying Regiment 4 were ready for the summer battles of 1944, which included for example the Battle of Tali-Ihantala.

Thus, the clay fraction produced by the ground scouring of the important glaciation was ready to be blown-out.

Thus, while smaller in terms of total number of planes, the FAE of January 1995 felt qualitatively capable of facing the FAP on more or less equal terms, in striking contrast to the situation during the crisis of 1981, where except for a small number of missions, the FAE had been kept on the ground armed and ready for immediate action, to be committed only in case of a full-fledged war, their positions in the Cordillera del Cóndor was well defended due to tactically placed SAMs by the FAE, and units armed with British-made Blowpipe and Russian-made SA-16 MANPADs, nevertheless, such defences didn ´ t stop the continuous raids of the Peruvian Air Force, which lost several aircraft in the effort.

Thus, he used without hesitation the terminology of his opponents, which he set right and refined, ready to make himself hostage of the denominational logic of others.

Thus, they are ready to begin practice upon graduation.

Thus, in the event the government loses the confidence of the House or the Official Opposition party wins a general election, the party is ready to become the government.

Thus it would hold a greater depth of water by the time it was ready to descend again.

Thus, any German attack on the states of Eastern Europe, like Czechoslovakia, was likely to embroil Germany in war not only with the Czechoslovaks, but also with the British and the French before Germany was fully re-armed and ready for war with the other " Great Powers ".

Thus, at least some enantiornithine birds probably hatched from the egg substantially developed and ready to run, forage, and possibly even fly in a just a few days.

Thus, WNBC inadvertently holds the distinction as the oldest continuously operating TV station in the United States, and also the only one ready to accept sponsors from its beginning.

Thus dance functions to establish and renew consensus at moments when a society, without further discussion or explanation, is ready to act in concert.

Thus, in 1689, when James landed at Dublin with his French officers, Tyrconnell had an Irish army ready to assist him.

Thus, when Srong-btsan-sgam-po succeeded to the throne of Tibet in the year 627, the country was ready for a systematic missionary drive under royal patronage.

Thus Olsen was ready for a comeback in 2004, and at the 2004 IAAF World Indoor Championships he won a Bronze medal-a placement he repeated at the Olympic Games in Athens.

Thus, it would seem that this unfortunate man, who, through the romancing propensities of his comrade of the 44th, and the ready ear for ' sensationalism of the Times correspondent, was believed by the deluded British public to have been decapitated because he would not kow-tow to Sang-ko-lin-sin, died without ever seeing that personage at all.

" Thus, adopting a ' rejection for rejection's sake ' attitude, he entered tunnels of utter pessimism without any light at the end of them, with pictures of outrage, dirt and amorality working to convince the reader: no other, better life here would be possible anyway, for man-a scoundrel by nature, worshipping only the needs of his own flesh-is always ready to betray all things sacred for his egotistic schemes and lowly instincts ," Skabichevsky wrote.

Thus, an archer " Volley " tactic might drive an enemy unit backwards into another general who has a ready " Charge ", automatically activating this tactic.