Thus, if every historian were to claim that there was a solar eclipse in the year 1600, then though we might at first naively regard that as in violation of natural laws, we'd come to accept it as a fact.

Thus, the Catechism of the Catholic Church ( published in 1994 ) condemns the use of torture as a grave violation of Human Rights.

Thus, while burning a flag in violation of an ordinance against outdoor fires could be punishable, burning a flag in violation of an ordinance against dishonoring the flag is not.

Thus, the creation of Indian jurisdictions was a violation of state sovereignty under Article IV, Section 3 of the Constitution.

Thus, Dennis reading of the First Amendment remained in force: advocacy of law violation, even as an abstract doctrine, could be punished under law consistent with the free speech clause.

Thus, it is not a violation of the PES if one delivers a letter of one's friend even without affixation of postage or if a company has one of its regular employees deliver mail that originates from the company to its customers.

Thus, relying on the Supreme Court's decision in California Democratic Party v. Jones, which had held that California's blanket primary violated the First Amendment ( despite the fact that the Court explicitly differentiated — albeit in dicta — the blanket primary from the open primary in Jones ), on McKinney's behalf, five voters claimed that the open primary system was unconstitutional, operating in violation of the Equal Protection Clause of the Fourteenth Amendment, the associational right protected by the First Amendment, and various statutory rights protected by § 2 of the Voting Rights Act.

Thus the phenomenon of CP violation was discovered.

Thus, an innocent defendant could agree to probation but later be judged in severe probation violation, causing revocation, a jail term, and a permanent record of conviction.

Thus, in this case not a specific violation is investigated.

Thus, although the Erie decision itself does not identify specific provisions of the Constitution violated by Swift, the language of the decision implies that Swift had stolen powers reserved to the states, in violation of the Tenth Amendment.

Thus, since s. 213 ( d ) did not require any foresight of death it was in violation of a principle of fundamental justice and so violated s. 7 of the Charter, and could not be saved under s. 1.

Thus Heinrich Coudenhove-Kalergi credited the Jews with originating religious intolerance, and condemned it as a violation of genuine religious principles.

Thus Captain Asseline made all possible objections against this violation.

Thus, he is the first researcher to discuss the concept of an absolute zero of temperature, a concept later extended and rationalised by William Thomson, 1st Baron Kelvin.

Lord Kelvin, " One Heck of a Prognosticator, president of the Royal Society in the 1890s, and disbeliever in virtually every scientific discovery ," claimed that “ Radio has no future ,” “ I have not the smallest molecule of faith in aerial navigation other than ballooning ,” and “ X-rays will prove to be a hoax ;” Orville Wright, in 1908 claimed that “ No flying machine will ever fly from New York to Paris ;” and Irving Thalberg, MGM movie producer, asserted in 1927 that “ Novelty is always welcome, but talking pictures are just a fad .” Thus, making forecasts of the future has a historic basis in which many of the predictions by even experts have proven inaccurate.

Thus, intuitionists are ready to accept a statement of the form " P or Q " as true only if we can prove P or if we can prove Q:

Thus if we reason from the statement " Pegasus flies " to the statement " Pegasus exists ", we are not asserting that Pegasus is made up of atoms, but rather that Pegasus exists in a particular worldview, the worldview of classical myth.

Thus a statement of the form is said to be true, under a particular interpretation, if there is some object in the domain of discourse of that interpretation that satisfies the predicate that the interpretation uses to assign meaning to the symbol Phil.

Thus, the statement that f is an idempotent unary operation on S is equivalent to the statement that f is an idempotent element with respect to the function composition operation ∘ on functions from S to S.

Thus, for example, the statement, " It is true that two plus two equals four ", contains no more information than the statement " two plus two equals four ", because the phrase " it is true that ..." is always implicitly there.

Thus, both the statement " Murder is bad " and the statement " Murder is good " are false, according to an error theory.

If a statement P is provable, then it is certainly impossible to prove that there is no proof of P. But even if it can be shown that no disproof of P is possible, we cannot conclude from this absence that there is a proof of P. Thus P is a stronger statement than not-not-P.

Thus the statement < code > IF 20 <" 30 DUCKS "</ code > is evaluated as in MUMPS.

Thus the difference between the two definitions of real numbers can be thought of as the difference in the interpretation of the statement " for all ... there exists ..."

Thus the statement should not be informative.

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, the uncertainty principle actually states a fundamental property of quantum systems, and is not a statement about the observational success of current technology.

Thus, even if one were to prescribe a likely and reasonable meaning to the sentence, the grammaticality of the sentence is concrete despite being the first time a person had ever uttered the statement, or any part thereof in such a combination.

Thus he made the first statement of cell theory.

Thus at least one vacuously true statement seems to actually be true.

Thus the term " syāt " should be prefixed before each proposition giving it a conditional point of view and thus removing any dogmatism in the statement.

Thus say the ( scriptures ) through the statement of sage Yajnavalkya to his wife.

Thus, although the Naskapis had never filed a formal statement of claim or similar document, except for a draft history prepared by the late Dr Alan Cooke, the parties to the JBNQA accepted the legitimacy of their claims, and they entered into an agreement-in-principle with the Naskapis in the Spring of 1977 to negotiate an agreement that would have the same principal features as the JBNQA.

Thus, the statement " n is Richardian " can not consistently be designated as either true or false.

" 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, for example, controversies in physics are limited to subject-areas where experiments cannot be carried out yet, whereas Benford's Law implies that controversy is inherent to politics, where communities must frequently decide on courses of action based on insufficient information.

Thus, conservation of four-momentum is Lorentz-invariant and implies conservation of both mass and energy.

implies that the entire NC hierarchy " collapses " down to some level i. Thus, there are 2 possibilities:

Thus, for Rand, the fact that consciousness must itself possess identity implies the rejection of both universal skepticism based on the " limits " of consciousness and any claim to revelation, emotion or faith based belief.

Thus 4, 000, 000, which has a logarithm ( in base 10 ) of 6. 602, has 7 as its nearest order of magnitude, because " nearest " implies rounding rather than truncation.

Thus, when essential sacred mysteries and teachings are described as myth, in modern English, the word often still implies that it is " idle fancy, fiction, or falsehood ".

Thus, W is the negative of its transpose, which implies it is a skew symmetric matrix.

Thus, the absence of the ignorable coordinate q < sub > k </ sub > from the Lagrangian implies that the Lagrangian is unaffected by changes or transformations of q < sub > k </ sub >; the Lagrangian is invariant, and is said to exhibit a symmetry under such transformations.

Thus, we can interpret Boltzmann's constant as being simply the expression ( in terms of more standard physical units ) of the abstract logarithmic unit that is needed to convert the dimensionless pure-number quantity ln W ( which uses an arbitrary choice of base, namely e ) to the more fundamental pure logarithmic quantity Log ( W ), which implies no particular choice of base, and thus no particular choice of physical unit for measuring entropy.

Thus, such an investment usually implies a risk.

Thus ZF together with " there exists a weakly inaccessible cardinal " implies that ZFC is consistent.

Thus, the consistency of ZFC implies consistency of ZFC +" there are no strong inaccessibles ".

Thus, the word implies the meaning " a person who hides or covers.

Thus h can be extended to an entire bounded function which by Liouville's theorem implies it is constant.

Thus, the existence of a finite automaton recognizing L implies that the Myhill – Nerode relation has a finite number of equivalence classes, at most equal to the number of states of the automaton, and the existence of a finite number of equivalence classes implies the existence of an automaton with that many states.

Thus N = 2 implies doubling the exam length by adding items with the same properties as those in the current exam.

Thus more information implies less error of measurement.

Thus friendly implies a mode of friendship as distinct from amiable or genial.

Thus any solution implies an infinite class of solutions.

Thus, rising P implies higher profits that justify expansion of output.

Thus, in this case, the perfect graph theorem implies König's theorem that the size of a maximum independent set in a bipartite graph is also n − M, a result that was a major inspiration for Berge's formulation of the theory of perfect graphs.