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

Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.

Thus F satisfies Af if and only if F has the form Af.

Thus, when more than one distinct form leads to a particular cell in the X-region, a chain of information cells must be created to accommodate the forms, one cell in the chain for each form.

Thus, one can think of a dictionary entry as a word rather than a form.

Thus, at pH between 2. 2 and 9. 4, the predominant form adopted by α-amino acids contains a negative carboxylate and a positive α-ammonium group, as shown in structure ( 2 ) on the right, so has net zero charge.

" Thus Ambrose refused to be drawn into a false conflict over which particular local church had the " right " liturgical form where there was no substantial problem.

Thus, from the human body, the usual form assigned to the Deity, forasmuch as it is written that God created man in his own image, issue the two supporters, Nous and Logos, symbols of the inner sense and the quickening understanding, as typified by the serpents, for the same reason that had induced the old Greeks to assign this reptile for an attribute to Pallas.

Thus for example two separate quotes by Athenaeus were united by Theodor Bergk to form fr. 362.

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 competitors united to form the Vereenigde Oostindische Compagnie ( VOC ) ( the ‘ Dutch East Indies Company ).

Thus understood, the centuries-old English word Χmas, is actually a shortened form of CHmas, which is, itself, a shortened form for Christmas.

Thus, for example, the English form is is an apparent cognate of German ist, Latin est and Russian < nowiki > jest '</ nowiki >, even though the Germanic, Italic, and Slavic language groups split at least three thousand years ago.

Thus, humans must be other biological machines created by a life form just as the BETA are.

Thus usage of any form of contraception, in vitro fertilization, or birth control besides Natural Family Planning is a grave offense against the sanctity of marriage and ultimately against God.

Thus, u < sub > ρ </ sub > and u < sub > θ </ sub > form a local Cartesian coordinate system attached to the particle, and tied to the path traveled by the particle.

Thus no form of justification will rationally warrant our inductive inferences.

Thus, using Euler's theorem we can say that the solution must be of the form:

Thus dubnium is expected to form a stable + 5 state.

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

Thus, according to Lutz, doublespeak is a form of language that defeats the purpose of inventing language because doublespeak does not communicate the truth but seeks to do the opposite and the doublespeak committee is tasked with correcting this problem that doublespeak has created in the world of language.

Thus a conventionally corrected form of Newcomb's formula, to incorporate the corrections on the basis of mean solar time, would be the sum of the two preceding expressions:

Thus the division form of Euclid's algorithm starts with a pair of positive integers and forms a new pair that consists of the smaller number and the remainder obtained by dividing the larger number by the smaller number.