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Page "Propositional calculus" ¶ 27
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Some Related Sentences

Thus and is
Thus, there is freshness not only in the individual movements of the dance but in the shape of their continuity as well.
Thus jazz is transmuted into something holy, the sacred road to integration of being.
Thus the fictional detective is much more than a simple businessman.
Thus the cocktail party would appear to be the ideal system, but there is one weakness.
Thus in both types attention is focused on the community itself, and its phenomenological life.
Thus, it is no mystical intuition, but an analyzable conception to say that man and his tradition can `` fall out of existence ''.
Thus human perception and human volition is the immanent cause of all social change and this most truly when the change reaches the civilizational level.
Thus, circular motion is itself one of the essential characteristics of completely perfect celestial existence.
Thus, in no ordinary sense of ' simplicity ' is the Ptolemaic theory simpler than the Copernican.
Thus Burns's `` My love is like a red, red rose '' and Hopkins' `` The thunder-purple sea-beach, plumed purple of Thunder '' although clearly intelligible in content, hardly present ideas of the sort with which we are here concerned.
Thus science is the savior of mankind, and in this respect Childhood's End only blueprints in greater detail the vision of the future which, though not always so directly stated, has nevertheless been present in the minds of most science-fiction writers.
Thus the copywriter in the world of the space merchants is the person who in earlier ages might have been a lyric poet, the person `` capable of putting together words that stir and move and sing ''.
Thus there is a clearer division of authority, administrative and legislative.
Thus, as a development program is being launched, commitments and obligations must be entered into in a given year which may exceed by twofold or threefold the expenditures to be made in that year.
Thus, the need for the B-70 as a strategic weapon system is doubtful.
Thus technical efficiency is achieved at the expense of actual experience.
Thus, there is an added incentive to stay on the job.
Thus, the Span of its ossification was shortened and the center's ability to `` catch up '' in ossification is demonstrated.
Thus T is not diagonalizable.
Thus Af is divisible by the minimal polynomial P of T, i.e., Af divides Af.
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 in the three-dice example Af, Af, and the independence assumption imply that the probability that the three dice fall ace, not-ace, ace in that order is Af.
Thus we do not score the number of bull's-eyes, and the random variable is not the number of successes.
Thus if E is sufficiently small, there can be only one intersection of C and Af near Q, for if there were more than one intersection for every E then the difference between C and Af near Q would not be a monotone function.
Thus Af is also continuous at Af, and in a neighborhood of Af which does not contain a tangent point.

Thus and true
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, the goal of a conditional proof is to demonstrate that if the CPA were true, then the desired conclusion necessarily follows.
Thus, though knowledge requires justification, truth, and belief, the word " knowledge " can't be, according to Williamson's theory, accurately regarded as simply shorthand for " justified true belief.
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 songs of Uttarakhand are a true reflection of the Cultural Heritage and the way people live their lives in the Himalayas.
Thus for iconoclasts the only true ( and permitted ) " icon " of Jesus was the Eucharist, which was believed to be his body and blood.
Thus Irenaeus provides the earliest witness to the assertion of the four canonical Gospels, possibly in reaction to Marcion's edited version of the Gospel of Luke, which Marcion asserted was the one and only true gospel.
Thus ( D1 ) is both true and false.
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 for a theory " T ", " G " is true, but not provable in " T ".
Thus, in the cases listed above, the disjunction of and is true in all cases except 4.
Thus to Brouwer, we are not justified in asserting " either Goldbach's conjecture is true, or it is not.
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, according to the law of non-contradiction, " not p " must be false, and so, according to the law of the excluded middle, p is true.
Thus, many scholars will call a body of stories " mythology ", leaving open the question of whether the stories are true or false.
Thus, a difference in true wind creates a different apparent wind at different heights.
" Thus without holding a proposition up against the real world, we cannot tell whether the proposition is true or false.
Thus in Puget Sound itself, the names given by Wilkes are common and Spanish names rare, while the reverse is true for the San Juan and Gulf Islands ( although the Spanish did not explore Puget Sound as thoroughly as the British and Americans, resulting in fewer Spanish names to start with ).
Thus the Council Fathers meant to say that the being of the Church as such is a broader entity than the Roman Catholic Church, but within the latter it acquires, in an incomparable way, the character of a true and proper subject.
Thus, there is no such thing as a sentence, term, expression or word symbolically representing a single true meaning ; it is underspecified ( which cat sat on which mat?
Thus this report of a feud between Eadwig and Dunstan could either have been based on a true incident of a political quarrel for power between a young king and powerful church officials who wished to control the king and who later spread this legend to blacken his reputation, or it could be an urban legend ; the Chronicle also tells of Odo putting aside the King's marriage on the grounds Eadwig and his wife were " too related ".
Thus, the subaltern relationship between universal and existential also does not hold, since for a nonexistent S, " All S is P " is true but does not entail " Some S is P ", which is false.

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