Thus, in no ordinary sense of ' simplicity ' is the Ptolemaic theory simpler than the Copernican.

Thus while his theory or technique may not be oversubscribed, it is commonplace for bullish and bearish positions to become temporarily over-subscribed.

Thus, while altruistic persons may under some circumstances be outcompeted by less altruistic persons at the individual level, according to group selection theory the opposite may occur at the group level where groups consisting of the more altruistic persons may outcompete groups consisting of the less altruistic persons.

" 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 the axiom of choice is not generally available in constructive set theory.

Thus aesthetic judgments might be seen to be based on the senses, emotions, intellectual opinions, will, desires, culture, preferences, values, subconscious behavior, conscious decision, training, instinct, sociological institutions, or some complex combination of these, depending on exactly which theory one employs.

Thus, the theory asserts that the apple is no more than the collection of its properties.

Thus, the Big Bang theory cannot and does not provide any explanation for such an initial condition ; rather, it describes and explains the general evolution of the universe going forward from that point on.

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, 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 literary criticism became highly theoretical and some of those practicing it began referring to the theoretical dimension of their work as " critical theory "-a philosophically inspired theory of literary criticism.

Thus, theory has its roots in the materiality of social existence.

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, Gibbs ' theory becomes

Thus Fermi saw the theory published in Italian and in German before it was published in English.

Thus the aqua cations behave as acids in terms of Brønsted-Lowry acid-base theory.

" Thus irreal works such as Italo Calvino's Cosmicomics and Jorge Luis Borges ' Ficciones can be seen as an attempt to find a new allegorical language to explain our changed perceptions of the world that have been brought about by our scientific and technical culture, especially concepts such as quantum physics or the theory of relativity.

Thus, according to Keynesian theory, some individually-rational microeconomic-level actions such as not investing savings in the goods and services produced by the economy, if taken collectively by a large proportion of individuals and firms, can lead to outcomes, wherein the economy operates below its potential output and growth rate.

Thus three major themes in 19th century mathematics were combined by Lie in creating his new theory: the idea of symmetry, as exemplified by Galois through the algebraic notion of a group ; geometric theory and the explicit solutions of differential equations of mechanics, worked out by Poisson and Jacobi ; and the new understanding of geometry that emerged in the works of Plücker, Möbius, Grassmann and others, and culminated in Riemann's revolutionary vision of the subject.

Thus for a theory " T ", " G " is true, but not provable in " T ".

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

Thus in theory, if law enforcement officials decline to offer a Miranda warning to an individual in their custody, they may still interrogate that person and act upon the knowledge gained, but may not use that person's statements to incriminate him or her in a criminal trial.

According to the Christian doctrine of Universal Reconciliation, the Greek New Testament scriptures use the word " eon " to mean a long period ( perhaps 1000 years ) and the word " eonian " to mean " during a long period "; Thus there was a time before the eons, and the eonian period is finite.

Thus the foundation was laid of the doctrine of compound radicals, a doctrine which had a profound influence on the development of chemistry.

Thus the court accepted that a modified doctrine of tenure operated in Australia, and that the law of tenure ( as a product of the common law ) could co-exist with the law of native title ( as a product of customary laws and traditions ), though where there had been a valid grant of fee simple by the Crown the latter title would be extinguished.

Thus, a particular exercise of personal jurisdiction must not only be permitted by Constitutional doctrine, but be statutorily authorized as well.

Thus at the Battle of Lake Khasan, in 1938, and the Battle of Khalkhin Gol, in 1939, major border clashes with the Imperial Japanese Army, the doctrine was not used.

Thus, in the long-standing debate on whether free will is compatible with the doctrine of determinism, several philosophers have proposed analyses of the relevant concepts to argue for either compatibilism or incompatibilism.

Thus, the Constitutional principle of bicameralism and the separation of powers doctrine were disregarded in this case, and this legislative veto of executive decisions was struck down.

Thus, the doctrine of mutually assured destruction replaced the trend of defense strengthening, and left interceptors with much less strategic justification.

Thus, LDS doctrine teaches that plural marriages which were valid at the time of the sealing, whether biblical or 19th-century Mormon, will continue in force in the afterlife.

Thus for example the scholia on Jarir furnished him with a remarkable notice of the prevalence of Buddhist doctrine and asceticism in Iraq under the Omayyads.

Thus, the Catholic Church accepts the ' priesthood of all believers ' doctrine – it is not the exclusive domain of Protestantism.

Thus, under this doctrine, each individual is part of the nation, but it is a whole based on something more than direct representation.

Thus, in stating his theory of the moral sense, Hutcheson is peculiarly careful to repudiate the doctrine of innate ideas ( see, for instance, Inquiry concerning Moral Good and Evil, sect.

Thus, some spiritists see themselves as not adhering to a religion, but to a philosophical doctrine with a scientific fulcrum and moral grounds.

Thus the ambiguous doctrine of an " irresistible grace ", which led to important debates first during the 5th century, opposing Pelagianism to Augustinism ( see following section ) and then again during the 16th and 17th century, explaining in particular the creation of the Congregatio de Auxiliis as the Jesuits denied the existence of an " efficacious grace ," while the Dominican Order, Augustinists and Thomists asserted its trueness.

Thus, the " non-Self " doctrine is presented in the Mañjuśrī-nāma-saṅgīti ( and in certain tantric texts ) as a merely partial, incomplete truth rather than as an absolute verity.

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, the doctrine of Proporz is intimately linked to the idea of the grand coalition, in which the major political parties, in the case of post-war Austria the SPÖ and the ÖVP, share in the government.

Thus, applying the first-sale doctrine to digital copies affect the market for the original to a greater degree than transfers of physical copies.

Thus, it was concluded, the temporal authorities must submit to the spiritual authorities, not merely on matters concerning doctrine and morality: " For with truth as our witness, it belongs to spiritual power to establish the terrestrial power and to pass judgment if it has not been good.

Thus they provide a link between the Apostles — who had personal contact with Jesus — and the later generations of Church Fathers, which includes the Christian apologists, defenders of orthodoxy, and developers of doctrine.

Thus the Church ’ s interpretation of doctrine was prioritised over the confession.

Thus he came back to assert the Bourbon doctrine that the sovereign authority resided in his person only.