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 " 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 a violation of the Kelvin statement implies a violation of the Clausius statement, i. e. the Clausius statement implies the Kelvin statement.

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, Sauternes or Barsacs should be very cold ; ;

Thus the use of abeyance provided the security of a settlement for the pro-life campus club, while preserving the student society's voting membership's ability to take the matter back to court should they choose in the future to deny resources to the club.

Thus, a player should use Blackwood only when he can ascertain that the partnership holds at least second-round controls in all suits ( kings or, if a suit fit is found, singletons ).

Thus, in an agent-neutral theory, an actor's personal goals do not count any more than anyone else's goals in evaluating what action the actor should take.

Thus his calculations should have required an additional year, ending in 1967.

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.

In particular, one should think of the condition number as being ( very roughly ) the rate at which the solution, x, will change with respect to a change in b. Thus, if the condition number is large, even a small error in b may cause a large error in x.

Thus, Judaism rejects the notion that anyone can or should die for anyone else's sin.

Thus, when ClearType sacrifices color accuracy in order to increase luminance detail, the overall effect — as seen by human eyes — should be an improvement for most people.

Thus, the database's conceptual and external architectural levels should be maintained in the transformation.

Thus the halides DbX < sub > 5 </ sub > should react with water to form DbOX < sub > 3 </ sub >.

Thus, we should prioritize social reform over attempts to account for consequences, individual virtue or duty ( although these may be worthwhile attempts, provided social reform is provided for ).

Thus, there should be no need for prices.

Thus Engset's equation should be used when the source population is small ( say less than 200 users, extensions or customers ).

Thus, the hash function only hints at the record's location — it tells where one should start looking for it.

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

Thus, while people have the right to private property, they should give it away as enlightened altruists.

Thus, according to Josephus, the traditional Jew was, should be, and can be, a loyal and peace-loving citizen.

Thus any individual who goes into a mountainous environment should have basic knowledge of knots and knot systems to increase safety and the ability to do interesting activities such as rappelling.

Thus the Syrian Mandate provided that the government should be based on an organic law which should take into account the rights, interests and wishes of all the inhabitants, and that measures should be enacted “ to facilitate the progressive development of Syria and the Lebanon as independent States ”.

Thus at any point there should be one special coordinate system, " at rest relative to the aether ".

" Thus, a practice that the police " should know is reasonably likely to evoke an incriminating response from a suspect ... amounts to interrogation ".