According to Carnap's " Logicist Foundations of Mathematics ", Russell wanted a theory that could plausibly be said to derive all of mathematics from purely logical axioms.

According to the theory proposed, this is a consequence of the severe condition of perceived threat that persists unabated for the anxious child in an ambiguous sort of school environment.

According to the theory underlying odd-lot indices, the trader who trades odd lots is most likely a small trader, one who can't afford to trade round lots.

( Despite common belief, he did not take a day from February ; see the debunked theory on month lengths ) According to a Senatus consultum quoted by Macrobius, he chose this month because it was the time of several of his great triumphs, including the conquest of Egypt.

According to the theory, the human experience of moral obligations was the result of evolutionary pressures, which attached a sense of morality to human psychology because it was useful for moral development ; this entail that moral values do not exist independently of the human mind.

According to this new theory, the shorter Alexandrian text is closer to the original, and the longer Western text is the result of later insertion of additional material into the text.

According to the special theory of relativity, the aberration looks as a transform of the celestial sphere due to different frames of reference and is virtually a special case of velocity addition, namely one of the light beam and frames ' relative velocity v. The formula from relativistic aberration can be simplified to

According to the theory of aerodynamics, a flow is considered to be compressible if its change in density with respect to pressure is non-zero along a streamline.

According to bundle theory, an object consists of its properties and nothing more: thus neither can there be an object without properties nor can one even conceive of such an object ; for example, bundle theory claims that thinking of an apple compels one also to think of its color, its shape, the fact that it is a kind of fruit, its cells, its taste, or at least one other of its properties.

According to the Big Bang theory, the Universe was once in an extremely hot and dense state which expanded rapidly.

According to the Chronicles-Ezra-Nehemiah theory, it contains material set aside from the rest of the book of Ezra, which was canonized first.

According to this theory, the anonymous author attributed these events to Daniel, as prophecies that were witnessed by this writer in the 2nd century BCE.

According to this theory, the cycle of philosophical upheavals that in part drove the diversification of Buddhism into its many schools and sects only began once Buddhists began attempting to make explicit the implicit philosophy of the Buddha and the early suttas.

According to one theory, the term was loaned to Russian, where-in literary language-it first appeared in " Elysei ", a 1771 poem by V. Maikov.

According to Brønsted – Lowry acid-base theory, acids are substances that donate a positive hydrogen ion to another substance in a chemical reaction ; by extension, a base is the substance which receives that hydrogen ion.

According to this theory, the crucial things being exchanged are charges.

According to physicist Phil Anderson, the term was coined by himself and Volker Heine when they changed the name of their group at the Cavendish Laboratories, Cambridge from " Solid state theory " to " Theory of Condensed Matter ", as they felt it did not exclude their interests in the study of liquids, nuclear matter and so on.

According to some psychologists, a person who believes in one conspiracy theory tends to believe in others ; a person who does not believe in one conspiracy theory tends not to believe another.

According to this theory, depressed people acquire a negative schema of the world in childhood and adolescence as an effect of stressful life events, and the negative schema is activated later in life when the person encounters similar situations.

According to Charles Darwin's theory of natural selection, characteristics such as camouflage that help an animal to survive will tend to evolve in any population.

According to Charles Darwin's 1859 theory of natural selection, features such as camouflage evolved by providing individual animals with a reproductive advantage, enabling them to leave more offspring, on average, than other members of the same species.

According to this view, Hume is not arguing for a bundle theory, which is a form of reductionism, but rather for an eliminative view of the self.

According to dot-com theory, an Internet company's survival depended on expanding its customer base as rapidly as possible, even if it produced large annual losses.

According to theory, this may give a comparative advantage in production of goods that make more intensive use of the relatively more abundant, thus relatively cheaper, input.

* According to Pascual, " The preserved enamel in the central region shows that the crown pattern is almost identical to that of Obdurodon: it is composed of two V-shaped lobes, the anterior of which is wider, separated from the posterior one by a valley that connects the lingual and buccal sides of the crown separating the anterior and posterior lobes.

According to neuroimaging data, PET studies on recall and recognition have consistently found increases in regional cerebral blood flow ( RCBF ) in the following six brain regions: ( 1 ) the prefrontal cortex, particularly on the right hemisphere ; ( 2 ) the hippocampal and parahippocampal regions of the medial temporal lobe ; ( 3 ) the anterior cingulate cortex ; ( 4 ) the posterior midline area that includes posterior cingulate, retrosplenial ( see retrosplenial region ), precuneus, and cuneus regions ; ( 5 ) the inferior parietal cortex, especially on the right hemisphere ; and ( 6 ) the cerebellum, particularly on the left. Hippocampus highlighted in red

According to Richard Dawkins, a distinction between agnosticism and atheism is unwieldy and depends on how close to zero we are willing to rate the probability of existence for any given god-like entity.

According to the subjectivist view, probability quantifies a " personal belief ".

According to one interpretation, as the result of a measurement the wave function containing the probability information for a system collapses from a given initial state to a particular eigenstate.

According to recent research, the word dates from before the sail was taken into use by the Germanic peoples of North-Western Europe, because the Old Frisian spelling shows that the word was pronounced with a palatal k and thus in all probability existed in North-Western Germanic before that palatalization happened, i. e. in the 5th century or before ( in the western branch ).

According to this approach, it is not necessary to assign any value to the probability of a hypothesis, although one must certainly take into account the probability of the data given the hypothesis, or given a competing hypothesis, when deciding whether to accept or to reject.

According to Shannon's source coding theorem, the optimal code length for a symbol is − log < sub > b </ sub > P, where b is the number of symbols used to make output codes and P is the probability of the input symbol.

According to the theory, wave functions interact with each other and evolve in time in accordance with the laws of quantum mechanics until a measurement is performed, at which point the system takes on one of its possible values, with a probability that's governed by the wave-function.

According to economist Frank Knight, it is different from risk, where there is a specific probability assigned to each outcome ( as when flipping a fair coin ).

According to an evolutionary psychology hypothesis that assumes that descent systems are optimized to assure genetic high genetic probability of relatedness between lineage members, males should prefer a patrilineal system if paternal certainty is high ; males should prefer a matrilineal system if paternal certainty is low.

According to the principle of indifference, we assign each of the possible outcomes a probability of 1 / 2.

According to this summary, the Fourth Assessment Report finds that human actions are " very likely " the cause of global warming, meaning a 90 % or greater probability.

According to the birthday paradox, in a group of 23 ( or more ) randomly chosen people, the probability is more than 50 % that some pair of them will have the same birthday.

According to Youssef, the valid possible alternatives for probability values are the real numbers, the complex numbers and the quaternions.

According to the Bayesian interpretation of probability, probability theory can be used to evaluate the plausibility of the statement, " The sun will rise tomorrow.

According to its definition is the number of ionizations per length of path and thus the relation of the probability that there was no collision in the mean free path of the ions, and the mean free path of the electrons:

According to the subjectivist view, probability measures a " personal belief ".

According to his theory, a probability assertion is akin to a bet, and a bet is coherent only if it does not expose the wagerer to loss if their opponent chooses wisely.

According to later commentators, Hatfield's successes were mainly due to his meteorological skill and sense of timing, selecting periods where there was a high probability of rain anyway.

According to some folklorists and historians the Christmas ham's origins in England lay in a: "... tradition was initiated in all probability on the Isle of Britain by the Anglo-Saxons, although our knowledge of it comes substantially from medieval times .... ancient Norse paganism | Norse tradition sacrifice carried the intent of imploring Freyr to show favor to the new year.

According to Martin Nowak, a Harvard professor of mathematics and evolutionary biology " We cannot calculate the probability that an eye came about.

According to Kolomna OKB, the Igla-1 has a P < sub > k </ sub > ( probability of kill ) of 0. 30 to 0. 48 against unprotected targets which is reduced to 0. 24 in the presence of decoy flares and jamming.

According to Fobos-Grunt Chief Designer Maksim Martynov, the probability of the probe accidentally reaching the surface of Mars was much lower than the maximum specified for Category III missions, the type assigned to Fobos-Grunt and defined in COSPAR's planetary protection policy ( in accordance with Article IX of the Outer Space Treaty ).