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 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 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 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 this view mathematical systems exist, and have structural features

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.

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 Dennis Gabor, the physicist Leó Szilárd tried in 1928 to convince him to build an electron microscope, for which he had filed a patent.

According to Gibbs, the term " statistical ", in the context of mechanics, i. e. statistical mechanics, was first used by the Scottish physicist James Clerk Maxwell in 1871.

According to American experimental physicist and Nobel laureate Robert A. Millikan,

According to research on the subject that based on new simulations at the ETH Zürich by physicist Andreas Reufer and his colleagues, Theia collided directly with Earth instead of barely swiping it.

According to the vice-director of JINR, the Dubna team chose to name element 114 flerovium ( symbol Fl ), after the founder of the Russian institute, Flerov Laboratory of Nuclear Reactions, the Soviet physicist Georgy Flyorov ( also spelled Flerov ).

According to Don Page, physicist at the University of Alberta, Canada, the longest finite time that has so far been explicitly calculated by any physicist is

According to German physicist and physical chemist Erich Hückel, the first quantitative use of molecular orbital theory was the 1929 paper of Lennard-Jones.

According to French astronomer Camille Guillaume Bigourdan ( 1851-1932 ), the French astronomers Adrien Auzout ( 1622-1691 ) and Jacques Buot ( or Buhot ) (< 1623-1678 ), the Dutch physicist Christiaan Huygens ( 1629-1695 ), the Czech physician / astronomer Hagecius ( 1525-1600 ) had all suggested the method ; even the ancient Greek astronomer Hipparchus ( 190 B. C. E .- 120 B. C. E.

According to Weizsäcker's own account, he had persuaded Heisenberg to meet Bohr in order to broker an accord of the international nuclear physicist " community " not to build the bomb.

According to political scientist Arthur Stinchcombe, citizenship is based on the extent that a person can control one's own destiny within the group in the sense of being able to influence the government of the group.

According to Finkelstein, Deborah Lipstadt claims there is widespread Holocaust denial-yet in " Denying the Holocaust " her prime example is Arthur Butz, author of The Hoax of the Twentieth Century.

According to the Life of Saint Gildas, written in the early 12th century by Caradoc of Llancarfan, Arthur is said to have killed Gildas ' brother Hueil and to have rescued his wife Gwenhwyfar from Glastonbury.

According to King Arthur, " Those who hear them seldom live to tell the tale!

According to legend, British forces led by Arthur defeated the invading Saxons.

According to Arthur K. Spears ( Diverse Issues in Higher Education, 2006 )

According to the historian of ideas, Arthur O. Lovejoy :" The notion that Rousseau ’ s Discourse on Inequality was essentially a glorification of the State of Nature, and that its influence tended to wholly or chiefly to promote " Primitivism " is one of the most persistent historical errors.

According to the recently published journals of Arthur M. Schlesinger, Jr., former First Lady Jacqueline Kennedy Onassis voted for Anderson, as did Schlesinger himself.

According to Arthur Croxton, the manager of London's Coliseum, the amputation was not apparent during her performances, which were done with the use of an artificial limb.

According to legend, King Arthur always gathered all his knights at the round table for a feast and a quest on Pentecost:

According to King Arthur, this flour is a blend of a more finely milled unbleached wheat flour and cornstarch, which makes a better end result than unbleached wheat flour alone ( cornstarch is a common additive for part of the flour used in cake where actual cake flour is called for but you only have all purpose on hand ).

According to his autobiographical writings Asimov included the First Law's " inaction " clause because of Arthur Hugh Clough's poem " The Latest Decalogue ", which includes the satirical lines " Thou shalt not kill, but needst not strive / officiously to keep alive ".

According to the Historia, at Guinnion, Arthur " carried the image of holy Mary ever virgin on his shoulders ", and put his enemy to flight.

According to The God that Failed by Arthur Koestler, a former member of the Communist Party of Germany, the largest communist party in Western Europe in the Interwar period, communists, aligned with the Soviet Union, continued to consider the " social fascist " Social Democratic Party of Germany to be the real enemy in Germany, even after the Nazi Party had gotten into power.

According to historian and former Special Assistant to President Kennedy Arthur Schlesinger, Jr., Rusk was not Kennedy's first choice, but rather the " lowest common denominator ", as Kennedy's first choice, J. William Fulbright, proved too controversial.

According to Arthur M. Schlesinger, Prío later said of his presidency,

According to the dates in the Annales Cambriae, Gildas would have been a contemporary of King Arthur.

According to Chamberlain, " Arthur hates difficulties.

According to Frum, " AEI represents the best of the conservative world ... But the elite isn ’ t leading anymore ... I think Arthur took no pleasure in this.

According to Arthur Marwick, the most striking change of all the developments that occurred during the Great War was the modification in women's dress, " for, however far politicians were to put the clocks back in other steeples in the years after the war, no one ever put the lost inches back on the hems of women's skirts ".

According to Arthur Edward Waite, this card signifies the divine motive in man.

According to some legends, he would have been the true and rightful heir to the throne of Camelot, after the reign of King Arthur.

According to Geoffrey in the Historia and much subsequent literature which he inspired, Avalon is the place where King Arthur is taken after fighting Mordred at the Battle of Camlann to recover from his wounds.

According to notable author Arthur C. Clarke and former stage magician James Randi, the Silva method consists of the application of positive thinking, visualization meditation, and self hypnosis.