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 mathematical physicist Arthur Wightman:

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 the Buddhist tradition, the Buddha first taught the four noble truths in the very first teaching he gave after he attained enlightenment, as recorded in the discourse Setting in Motion the Wheel of the Dharma ( Dharmacakra Pravartana Sūtra ), and he further clarified their meaning in many subsequent teachings.

According to tradition, the Buddha taught on the four noble truths repeatedly throughout his lifetime, continually expanding and clarifying his meaning.

According to Swedenborgianism, the first twelve chapters of Genesis are a symbolic retelling of ancient truths.

According to orthodox Hindu tradition, the Vedas are and anādi ( beginning-less ), and are revealed truths of eternal validity.

According to its text, the Book of Mormon contains the writings of ancient prophets who lived on the American continent from approximately 2200 BC to AD 421, describes the visit of Jesus after his resurrection and his establishing his church among the indigenous people, and includes important gospel truths lost during the Great Apostasy.

According to amazon. co. uk, in the Axiomatic stories: " Egan delivers shocking body-blows to received ideas in thought-experiment stories that like Jorge Luis Borges's philosophical squibs are booby-trapped with terrible truths and paradoxes.

According to Geoffrey Hunter, while logic concerns itself with the " truths of logic ," metalogic concerns itself with the theory of " sentences used to express truths of logic.

According to Catholic doctrine, the Magisterium is able to teach or interpret the truths of the Faith, and it does so either non-infallibly or infallibly ( see chart below ).

According to Shahn, known forms allow the artist “ to discover new truths about man and to reaffirm that his life is significant .” References to allegory, the Old Testament, humanistic content, childhood, science, music and the commonplace are other motifs Shahn draws upon to make the universal personal for his viewers.

" According to Rich Cohen, Rothstein was the person who first realized that Prohibition was a business opportunity, a means to enormous wealth, who " understood the truths of early century capitalism and came to dominate them.

According to moral sense theorists, certain moral truths are known via this moral sense simply on the basis of experience, not inference.

According to Fox, Maimonides carefully assembled the Guide " so as to protect people without a sound scientific and philosophical education from doctrines that they cannot understand and that would only harm them, while making the truths available to students with the proper personal and intellectual preparation.

According to Ackoff " f-Laws are truths about organizations that we might wish to deny or ignore – simple and more reliable guides to managers ' everyday behavior than the complex truths proposed by scientists, economists, sociologists, politicians and philosophers ".

According to Jencks, gardens are also autobiographical because they reveal the happiest moments, the tragedies, and the truths of the owner and family.

According to a strong Cessationist, a person with a gift of power is also a prophet because healings and miracles were always signs associated with the divine confirmation of the genuineness of a prophet in the periods when God revealed new truths with respect to the doctrine.

According to both Schuré and Blavatsky, Plato had been initiated, but instead of speaking openly, he disguised the esoteric truths and put them into a rational, intellectual form which could be taught publicly.

According to Breuer, God wrote the Torah from " multiple perspectives ... each one constituting truth, it is only the combination of such truths that gives expression to the absolute truth.

According to a popular saying, " there is no such thing as an honest politician " ( politicians will accentuate certain truths at the expense of other truths ), but there is such a thing as a " principled " politician working within clearly defined moral boundaries, which rule out doing " just anything ".