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Page "Philosophy of mathematics" ¶ 76
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According and view
According, then, to what I take to be the prevailing view, these rioters were merely a handful of irresponsible, Stalinist-corrupted provocateurs.
According to the researchers, the results suggest that altruistic behavior may originate from how people view the world rather than how they act in it.
According to this view, the poem says that there may, or may not, have been a divine visit, when there was briefly heaven in England.
According to this view, though Mark has Jesus as the Son of God, references occurring at the strategic points in 1: 1 (" The beginning of the gospel about Jesus Christ, the Son of God ", but not in all versions, see Mark 1 ), 5: 7 (" What do you want with me, Jesus, Son of the Most High God?
According to the plans, the Third Army, under general Radko Dimitriev, was deployed east of and behind the First, and was covered by the cavalry division hiding it from the Turkish view.
According to this view, Beowulf can largely be seen to be the product of antiquarian interests and that it tells readers more about " an 11th-century Anglo-Saxon ’ s notions about Denmark, and its pre-history, than it does about the age of Bede and a 7th-or 8th-century Anglo-Saxon ’ s notions about his ancestors ’ homeland.
According to this view, the story of Jacob's visit to Laban to obtain a wife originated as a metaphor for this migration, with the property and family which were gained from Laban representing the gains of the Joseph tribes by the time they returned from Egypt ; according to textual scholars, the Jahwist version of the Laban narrative only mentions the Joseph tribes, and Rachel, and does not mention the other tribal matriarchs whatsoever.
According to this view, it is not considered to be read as a prophecy of western political history or of an eschatological future.
According to Maimonides, the correct view of providence lies with Elihu, who teaches Job that one must examine his religion ().
According to F. W. Dobbs-Allsopp, " the widely observed unity of form and point of view ... and general resemblance in linguistic detail throughout the sequence are broadly suggestive of the work of a single author ," though other scholars see Lamentations as the work of multiple authors.
According to the objectivist view, the rules of Bayesian statistics can be justified by requirements of rationality and consistency and interpreted as an extension of logic.
According to the subjectivist view, probability quantifies a " personal belief ".
According to this view, any form of specific coercion is then unethical in itself as an injury to freedom, quite apart from its damaging effects on social progress.
According to one view, most people today live as citizens according to the liberal-individualist conception but wished they lived more according to the civic-republican ideal.
According to the prevalent view, Montesquieu is regarded as the ' father ' of comparative law.
According to this view, the husband has the God-given responsibility to provide for, protect, and lead " his " family.
According to this view, Hume's empiricism consisted in the idea that it is our knowledge, and not our ability to conceive, that is restricted to what can be experienced.
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 this world view, over time " priests " had succeeded in encrusting the original simple, rational religion with all kinds of superstitions and " mysteries " irrational theological doctrines.
According to this view, either it is very hard for intelligent life to arise, or the lifetime of such civilizations must be relatively short.
According to this view, ethics is more a summary of common sense social decisions.
According to the direct-reference view, an early version of which was originally proposed by Bertrand Russell, and perhaps earlier by Gottlob Frege, a proper name strictly has no meaning when there is no object to which it refers.
According to the " two sense " view of existence, which derives from Alexius Meinong, existential statements fall into two classes.
According to Husserl, this view of logic and mathematics accounted for the objectivity of a series of mathematical developments of his time, such as n-dimensional manifolds ( both Euclidean and non-Euclidean ), Hermann Grassmann's theory of extensions, William Rowan Hamilton's Hamiltonians, Sophus Lie's theory of transformation groups, and Cantor's set theory.

According and mathematical
According to intuitionists ( anti-realists with respect to mathematical objects ), the truth of a mathematical statement consists in our ability to prove it.
According to Gödel mathematical logic was " a science prior to all others, which contains the ideas and principles underlying all sciences.
According to Jewish tradition, the Jewish calendar is calculated based on mathematical rules handed down from God to Moses at the moment the command was given to make sure that Passover always falls in the springtime.
According to the New Schaff-Herzog Encyclopedia of Religious Knowledge, the Kestoi " appears to have been intended as a sort of encyclopedia of the material sciences with the cognate mathematical and technical branches, but to have contained a large proportion of merely curious, trifling, or miraculous matters, on which account the authorship of Julius has been questioned.
According to the principle of ontological parsimony, he holds that we do not need to allow entities in all ten of Aristotle's categories ; we thus do not need the category of quantity, as the mathematical entities are not " real ".
According to mathematical physicist Arthur Wightman:
According to Formalism, mathematical truths are not about numbers and sets and triangles and the like — in fact, they aren't " about " anything at all.
According to Stephen Skinner, the study of sacred geometry has its roots in the study of nature, and the mathematical principles at work therein.
According to Sloan Career Cornerstone Center, individuals working in this area, " computational methods are applied to formulate and solve complex mathematical problems in engineering and the physical and the social sciences.
According to the Mathematics Genealogy Project, Chebyshev has 7, 483 mathematical " descendants " as of 2010.
According to the renowned neuropsychologist and neurobiologist Roger Wolcott Sperry though, intuition is a right-brain activity while factual and mathematical analysis is a left-brain activity.
According to Yamaguchi, Sacks ' mathematical explanations are also irrelevant.
According to Gauss, who first described it, it is the " mathematical figure of the Earth ", a smooth but highly irregular surface that corresponds not to the actual surface of the Earth's crust, but to a surface which can only be known through extensive gravitational measurements and calculations.
According to astrophysicist and math popularizer Mario Livio, since the publication of Luca Pacioli's Divina Proportione in 1509, when " with Pacioli's book, the Golden Ratio started to become available to artists in theoretical treatises that were not overly mathematical, that they could actually use ," many artists and architects have been fascinated by the presumption that the golden rectangle is considered aesthetically pleasing.
According to Vandervert, in the emotion-driven prodigy ( commonly observed as a " rage to master ") the cerebellum accelerates the streamlining of the efficiencies of working memory in its manipulation and decomposition / re-composition of visual-spatial content into language acquisition and into linguistic, mathematical, and artistic precocity.
According to this restriction, variables are used in a mathematical sense, with identifiers referring to immutable, persistent values.
According to Asimov's novels, Hari Seldon devised the Seldon Plan using a mathematical analysis he originally developed and called psychohistory.
According to Rosenblum ( 1994 ) " volume visualization examines a set of techniques that allows viewing an object without mathematical representing the other surface.
According to Noh-Varr the Kree have a mathematical equation that disproves the existence of any deity, which is taught to all Kree around " the same time we learn not to soil ourselves with excrement ".
According to the standard mathematical formulation of quantum mechanics, quantum observables such as x and p should be represented as self-adjoint operators on some Hilbert space.
According to Searle, no mathematical function can be used to connect a known VIN with its LPN, but the process of assignment is quite simple — namely, " first come, first served "— and can be performed entirely by a computer.
According to the NEOS statistics AMPL is the most popular format for representing mathematical programming problems.

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