Thus, an axiom is an elementary basis for a formal logic system that together with the rules of inference define a deductive system.

Thus linguists must resort to indirect methods to determine what those rules might be, if indeed rules as such exist.

Thus, while Nozick's side-constraints are absolute restrictions on behavior, Amartya Sen proposes a theory that recognizes the importance of certain rules, but these rules are not absolute.

Thus, social rules tell a woman how to behave in a womanly manner, and a man, how to be manly.

Thus, instead of using rules they no longer remember, as knowledge engineers suppose, the expert is forced to remember rules they no longer use.

Thus, law has an internal morality that goes beyond the social rules by which valid laws are made.

Thus, the jurisprudential rule of Miranda must yield in " a situation where concern for public safety must be paramount to adherence to the literal language of the prophylactic rules enunciated in Miranda ".

Thus, " the Law " is understood to be the religious teachings and rules given by God.

Thus, from the starting position, it takes little skill and no imagination to avoid losing, and nothing in the rules prevents games from being interminable.

Thus, although juries must render unanimous verdicts, in run-of-the-mill criminal trials they behave in practice as if they were operating using a majority rules voting system.

Thus grammars that employ phrase structure rules are constituency grammars (= phrase structure grammars ), as opposed to dependency grammars, which view sentence structure as dependency-based.

Thus, strict rules apply for entrance, including Church membership and regular attendance.

Thus new players are not presented with a list of rules, as part of the game is to discover the rules through gameplay.

Thus, sometimes, people will dismiss concerns about overpriced markets by citing a new economy where the old stock valuation rules may no longer apply.

Thus, the founder makes arrangements beforehand by appointing and administrator ( called nāẓir or mutawallī or ḳayyim ) and lays down the rules for appointing successive administrators.

Thus, stricter rules were created for the Study tour overall not only for legal purposes but also for the protection of the students.

Thus, pulse-based systems — where each transmitted pulse occupies the UWB bandwidth ( or an aggregate of at least 500 MHz of narrow-band carrier ; for example, orthogonal frequency-division multiplexing ( OFDM )— can gain access to the UWB spectrum under the rules.

Thus, these attorneys may freely advise clients as to these matters anywhere in the jurisdiction of the United States without regard to state court or bar association rules.

Thus Hilbert is insisting that mathematics is not an arbitrary game with arbitrary rules ; rather it must agree with how our thinking, and then our speaking and writing, proceeds :".

Thus, like Congress, they legislate ; like the Executive, they administer ; like the courts, they interpret the rules.

Thus, the boundaries for these regions are approximate " rules of thumb ", as there are no precise cutoffs between them ( all behavioral changes with distance are smooth changes ).

Thus, if the score was 3 – 2 with the bases loaded in the bottom of the ninth, and the batter smacked an " over the fence home run ", the game would end at 4 – 3, with the batter only allowed a double, and the runners officially stopped on 2nd and 3rd ( since they were not needed to win the game ).

Pope: " Thus on a roe the well-breath'd beagle flies, And rends his hide fresh-bleeding with the dart " The Iliad of Homer ( 1715 – 20 ) Book XV: 697 – 8

Thus Post in his 1936 was also discounting Kurt Gödel's suggestion to Church in 1934 – 5 that the thesis might be expressed as an axiom or set of axioms.

Thus, a large amount of aggression occurs 5 – 15 minutes after a reunion.

Thus began a sojourn for the reformers among the Baptists within the Redstone Baptist Association ( 1815 – 1824 ).

Thus was conceived their second child – not a son, but another daughter, Alix of France.

Thus, the attack on the Soviet Union ( which together with Germany had partitioned central Europe in 1939 – 1940 ) was not pressed with sufficient strength.

Thus, most knowledge of Roman Britain has derived from archaeological investigations, and the epigraphic evidence lauding the Britannic achievements of an Emperor of Rome, such as Hadrian ( r. 117 – 38 ) and Antoninus Pius ( r. 138 – 61 ), whose walls demarcated the northern borders of Roman Britain.

Thus for example Theocritus presents catalogues of heroines in two of his bucolic poems ( 3. 40 – 51 and 20. 34 – 41 ), where both passages are recited in character by lovelorn rustics.

Thus, the Hershey – Chase experiment helped confirm that DNA, not protein, is the genetic material.

Thus, the third phase of the war ( roughly August 1920 – July 1921 ) involved the IRA taking on a greatly expanded British force, moving away from attacking well defended barracks and instead using ambush tactics.

Thus his teaching methods often seem paradoxical – Johnstone is often famous for asking his students to ‘ be boring ’, ‘ be obvious ’.

English version of " Baghawan Mahavir ki Vani " – Thus Spake Lord Mahavir.

Thus, Luxembourg returned to the heirs of the old Luxembourg dynasty – at least those of the line of Elisabeth.

Thus, Lenin's practical application of Marxism and working-class urban revolution to the social, political, and economic conditions of the agrarian peasant society that was Tsarist Russia sparked the “ revolutionary nationalism of the poor ” to depose the absolute monarchy of the three-hundred-year Romanov dynasty ( 1613 – 1917 ).

Thus, Friedrich Müller, in his ambitious classification ( 1876 – 88 ), separated the ' Negro ' and Bantu languages.

Thus this type of land appropriation did not violate the Lockean proviso – there was " still enough, and as good left.

Thus, in the 1930s and 1940s, Egyptian nationalism – and not pan-Arabism – was the dominant mode of expression of Egyptian political activists.

Thus Vietnamese, Tai – Kadai and Hmong – Mien ( Miao – Yao ), all languages with a similar tone system to Chinese, were classified under the Sino-Tibetan tree.

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, 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.

Thus, a Rabbi, a Catholic priest, and an agnostic might agree that, in this particular case, the best approach is to withhold extraordinary medical care, while disagreeing on the reasons that support their individual positions.

Thus, an analog signal is one represented by a continuous stream of data, in this case along an electrical circuit in the form of voltage, current or charge changes ( compare with digital signals below ).

Thus, the designers of ATM utilized small data cells to reduce jitter ( delay variance, in this case ) in the multiplexing of data streams.

For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum,, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is

Thus, for the general, non-associative case, binary operations can be represented with binary trees.

Thus, mD represents a case with hypomania and major depression.

Thus, a man is properly charged with premeditated murder if the circumstances surrounding his case closely resemble the exemplar premeditated murder case.

Thus, though often de facto the case, Conservative Judaism's halakhic system does not inherently see Orthodox halakhic practice as acceptable and legitimate halakhic practice for a Conservative Jew.

Thus ion implantation is a special case of

Thus, these facts are presupposed by the question, and in this case an entrapment, because it narrows the respondent to a single answer, and the fallacy of many questions has been committed.

Thus in some case greater positional order will be entropically favorable.

Thus it is true in every case above except case 2, because this is the only case when is true but is not.

#* Proof: Then so Thus However, is prime, so or In the former case, hence ( which is a contradiction, as neither 1 nor 0 is prime ) or In the latter case, or If however, which is not prime.

Thus, not only the existence of the crime depends on there being a previous legal provision declaring it to be a penal offense ( nullum crimen sine praevia lege ), but also, for a specific penalty to be imposed in a certain case, it is also necessary that the penal legislation in force at the time when the crime was committed ranked the penalty to be imposed as one of the possible sanctions to that crime ( nulla poena sine praevia lege ).

Thus the praetor peregrini essentially created new substantive law for each case.

Thus, issues such as the ability to grant pre-trial relief, procedure and form, as well as statutes of limitations are classified as “ procedure ” and are always subject to domestic law where the divorce case is pending.

Thus, the statement " there are no contradictions in the Principia system " cannot be proven in the Principia system unless there are contradictions in the system ( in which case it can be proven both true and false ).

Thus, it is not enough to demonstrate that you have suffered the wrong in order to win a tort case, you must also have legally recognized damages that were directly or indirectly caused by the tortfeasor as a result of the tort, and be able to prove the extent of those damages.

Thus, it is correctly written either way, and is only incorrect when specification is first made that the word is being used as a unit, or else a symbol of the unit, and then the incorrect letter case for the specified use is employed.