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, according to the character Pausanias in Plato's Symposium, Aphrodite is two goddesses, one older while the other younger.

Thus, according to the Bank of England's Boxall and Gallagher ( 1997 ), "... there was virtually no difference between banks and building society ' listed ' interest rates for home finance mortgage lending between 1984 and 1997.

They write: " Thus, according to that alternate rendering, the new birth originates ' from above '— that is, ' from heaven ,' or ' from the Father.

Thus, the molecular formula of ethanol may be written in a paper in conformational, three-dimensional, full two-dimensional ( indicating every bond with no three-dimensional directions ), compressed two-dimensional ( CH < sub > 3 </ sub >– CH < sub > 2 </ sub >– OH ), separating the functional group from another part of the molecule ( C < sub > 2 </ sub > H < sub > 5 </ sub > OH ), or by its atomic constituents ( C < sub > 2 </ sub > H < sub > 6 </ sub > O ), according to what is discussed.

Thus, according to Aquinas, there must have been a time when nothing existed.

Thus perceptions must already come parcelled into distinct " bundles " before they can be associated according to the relations of similarity and causality: in other words, the mind must already possess a unity that cannot be generated, or constituted, by these relations alone.

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, 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, according to Hegel, a great man does not create historical reality himself but only uncovers the inevitable future.

Thus, according to Étienne Boileau's Book of Handicrafts, by the mid-13th century there were no less than 100 guilds in Paris, a figure which by the 14th century had risen to 350.

Isaac Newton wrote of the earth, "“ Thus this Earth resembles a great animall or rather inanimate vegetable, draws in æthereall breath for its dayly refreshment & vitall ferment & transpires again with gross exhalations, And according to the condition of all other things living ought to have its times of beginning youth old age & perishing .”

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

Thus a leader or important man will be characterised as generous, according to one common convention, and called an " enemy of gold ", " attacker of treasure ", " destroyer of arm-rings ", etc.

Thus Legendre's contribution lay in introducing a convenient notation that recorded quadratic residuosity of a mod p. For the sake of comparison, Gauss used the notation, according to whether a is a residue or a non-residue modulo p.

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

Thus, according to Murray, reports of Satan actually represented pagan gatherings with their priest wearing a horned helmet to represent their Horned God.

Thus, according to Wittgenstein, mental states are intimately connected to a subject's environment, especially their linguistic environment, and conceivability or imaginability arguments that claim otherwise are misguided.

Thus, according to the law of non-contradiction, p must be 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, according to the Quran, Muhammad first received revelations in the lunar month of Ramadan.

Thus, according to Milgram, the subject shifts responsibility to another person and does not blame himself for what happens.

Thus the idea of an intellectual or scientific revolution following the Renaissance is — according to the continuity thesis — a myth.

Thus, Keynesian monetary policy aims for a steady rate of inflation.

Thus, a central conclusion of Keynesian economics is that, in some situations, no strong automatic mechanism moves output and employment towards full employment levels.

Thus, in Keynesian economics, reference is made to underemployment equilibrium.

Thus price and wage stickiness in one sector can " spill over " and lead to the economy behaving in a more Keynesian way,.

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, theory and doctrine applicable among the great nations and the smaller European states did not really comfortably fit less developed and less powerful societies elsewhere.

" 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, 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 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 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.