Thus, to cite but one example, the Pax Britannica of the nineteenth century, whether with the British navy ruling the seas or with the City of London ruling world finance, was strictly national in motivation, however much other nations ( e.g., the United States ) may have incidentally benefited.

Thus, if what is at issue is whether `` All S is P '', it is indifferent whether `` Some S is not P '' or `` No S is P '', since in either case the judgment in question is false.

This latter construal is sometimes expressed by saying " there is no fact of the matter as to whether or not P ." Thus, we may speak of anti-realism with respect to other minds, the past, the future, universals, mathematical entities ( such as natural numbers ), moral categories, the material world, or even thought.

Thus, a single " rule ," like mapping every real number x to x < sup > 2 </ sup >, can lead to distinct functions and, depending on whether the images under that rule are understood to be reals or, more restrictively, non-negative reals.

Thus, only Division I wins ( whether FBS, FCS, or FCS non scholarship ) are considered for playoff selection.

Thus, texts like the Annals will often state whether the calendar they use ( the calendar of Lu ) is in phase with the Royal calendar ( used by the Zhou kings ).

Thus, whether " dog " is a species or a genus depends on context.

Thus John asserts Jesus ' innate superiority over all divine messengers, whether angels or prophets.

Thus, the debate of when, where, why and whether to use horseshoes is a hot topic today.

Thus Kant defines idealism as " the assertion that we can never be certain whether all of our putative outer experience is not mere imagining ".

Thus the way they voted was kept secret because the jurists would hold their disk by the axle by thumb and forefinger, thus hiding whether its axle was hollow or solid.

Thus Legendre's contribution lay in introducing a convenient notation that recorded quadratic residuosity of a mod p. For the sake of comparison, Gauss used the notation, according to whether a is a residue or a non-residue modulo p.

Thus in determining whether to shut down a firm should compare total revenue to total variable costs ( VC ) rather than total costs ( FC + VC ).

Thus architects, archaeologists and design historians sometimes use the word to describe the accumulated iterations of a design or a site, whether in literal layers of archaeological remains, or by the figurative accumulation and reinforcement of design ideas over time.

Thus, philosophy of law addresses such diverse topics as theories of contract law, theories of criminal punishment, theories of tort liability, and the question whether judicial review is justified.

Thus, many scholars will call a body of stories " mythology ", leaving open the question of whether the stories are true or false.

" Thus without holding a proposition up against the real world, we cannot tell whether the proposition is true or false.

Expected to make use of devices with which listeners could press a button to indicate whether they liked or disliked a particular piece of music, Adorno bristled with distaste and astonishment: “ I reflected that culture was simply the condition that precluded a mentality that tried to measure it .” Thus Adorno suggested using individual interviews to determine listener reactions and, only three months after meeting Lasarzfeld, completed a 160-page memorandum on the Project ’ s topic, “ Music in Radio .” Adorno was primarily interested in how the musical material was affected by its distribution through the medium of radio and thought it imperative to understand how music was affected by its becoming part of daily life.

Thus, the answer naturally arises whether the Gaius of 3 John is the same man mention in any of the others contexts.

Thus Tantra, especially in its nondual forms, rejected the renunciant values of Patañjalian yoga, offering instead a vision of the whole of reality as the self-expression of a single, free and blissful Divine Consciousness under whatever name, whether Śiva or Buddha-nature.

Thus for finite n, the expression " n-th element " of a well-ordered set requires context to know whether this counts from zero or one.

Thus, the legal definition of a narcotic is whether or not it is listed on the Schedules of the Convention.

Thus there is disagreement among botanists as to whether the genera Chionodoxa and Scilla are sufficiently different to be kept separate.

Thus, the original owner should not be entitled to S2, but rather, some or all of S3.

Thus, S25 is a bifurcation of S2, while S41, S42, S45, S46, and S47 are all Ringbahn routes that share some of the same route.

Thus, S2 is split to the same degree during inspiration as expiration, and is said to be “ fixed .”

Thus in both types attention is focused on the community itself, and its phenomenological life.

Thus to has light stress both in that was the conclusion that I came to and in that was the conclusion I came to.

Thus in 1285 he declared war on his uncle, James II of Majorca, and conquered both Majorca ( 1285 ) and Ibiza ( 1286 ), effectively reassuming suzerainty over the Kingdom of Majorca.

Thus, the Turun Sanomat Building first heralded Aalto's move towards modernism, and this was then carried forward both in the Paimio Sanatorium and in the on-going design for the library.

Thus he strongly opposed both United States aggression in Vietnam and Soviet military expansionism.

Thus, both the x and y-axes are asymptotes of the curve.

Thus united to them in the fellowship of life, he will both understand the things revealed to them by God and, thenceforth escaping the peril that threatens sinners in the judgment, will receive that which is laid up for the saints in the kingdom of heaven.

" Thus declaring that the burnt offering of both animals and humans ( which may have been practiced in Judah under Kings Ahaz and Manasseh ) is not necessary for God.

Thus the castrati came to supplant both boys ( whose voices broke after only a few years ) and falsettists ( whose voices were weaker and less reliable ) from the top line in such choirs.

Thus, for example, on the basis of superficial similarities one might suppose that the Latin verb habere and German haben, both meaning ' to have ', were cognates.

Thus, Leibniz ' argument is in esse, while Aquinas ' argument is both in fieri and in esse.

Thus, the name carries both an augmentative "- one " (" big ") and a diminutive "- cello " (" little ").

Thus, by 1939, both Church ( 1934 ) and Turing ( 1939 ), neither having knowledge of the other's efforts, had individually proposed that their " formal systems " should be definitions of " effective calculability "; neither framed their statements as theses.

Thus, for example, the same equation can be made to produce both a lyrical and melodic piece of music in the style of the mid-nineteenth century, and a fantastically dissonant cacophony more reminiscent of the avant-garde music of the 1950s and 1960s.

Thus, a ' square ' is a member of both the genus ' rectangle ' and the genus ' rhombus '.

Thus different departments need different views of the company's database, that both include the employees ' payments, possibly in a different level of detail ( and presented in different visual forms ).

Thus, while Pierre and the robot are both doing the same thing, only Pierre has the inner conscious experience.

" Thus, it is two-way, mutual submission of both husbands to wives and wives to husbands.

Thus, both Carson and Armstrong ultimately contributed significantly to the science and technology of radio.

Thus, any other number c that divides both a and b must also divide g. The greatest common divisor g of a and b is the unique ( positive ) common divisor of a and b that is divisible by any other common divisor c.

Thus, the term " maternal surname " means the patrilineal surname which one's mother inherited from either or both of her parents.

Thus the Federal Reserve has both private and public aspects.

Thus, if the rate of any pathway changes, both the excited state lifetime and the fluorescence quantum yield will be affected.

Thus, when Gregory was selected as a candidate for the bishopric of Constantinople, both Alexandria and Rome opposed him because of his Antiochene background.

Thus in March 1979 Colonel Muammar Gaddafi, who kept absolute power ( until his overthrow in 2011 referred to as " Guide of the Revolution "), after ten years as combined Head of State and Head of government of the Libyan Jamahiriya (" state of the masses "), styled Chairman of the Revolutionary Command Council, formally transferred both qualities to the General secretaries of the General People's Congress ( comparable to a Speaker ) respectively to a Prime Minister, in political reality both were his creatures.