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Plural of obsolete ''mathematic''‘mathematics,’ from Old French ''mathematique'', from [[Latin]] ''(ars) mathematica'' ...lied to other [[disciplines]] such as [[physics]] and engineering (applied mathematics).

'''Immanuel Kant''' (1724–1804), German philosopher. In the ''Critique of Pure Reason'' (1781) he countered Hume's skeptical empiricism by arguing that an ...if it can be stated simply, is that our [[knowledge]] is constrained to [[mathematics]] and the science of the natural, empirical world. It is impossible, Kant a

...as philosophy and especially the philosophy of mathematics. Indeed, modern mathematics has been defined in a very general sense as the study of abstract structure ...order languages are also important. In universal algebra, a branch of pure mathematics, an [[algebraic structure]] consists of one or more sets closed under one o

*7: in [[mathematics]] denoting a group consisting of [[matrices]] of unit determinant. ...given and fully returned. Being complete, it asks nothing. Being wholly [[pure]], everyone joined in it has [[everything]]. This is not the basis for any

'''Information theory''' is a discipline in [[applied mathematics]] involving the quantification of data with the goal of enabling as much da ...el coding]] (e.g. for [[DSL]] lines). The field is at the crossroads of [[mathematics]], [[statistics]], [[computer science]], [[physics]], [[neurobiology]], and

...claim that all [[mathematics|mathematical knowledge]] is knowledge of the pure forms of the intuition - that is, intuition that is not empirical (''Proleg

...ideas about [[universal proposition|universal]] [[knowledge]] claims in [[mathematics]], [[astronomy]], [[natural philosophy]], [[music]], and many other subject ...ct disciplines for these sciences, and their separation from philosophy: [[mathematics]] became a specialized science in the ancient world, and "natural philosoph

In his ''[[Critique of Pure Reason]]'', Kant described space as an ''[[A priori and a posteriori (philo ==In mathematics==

===Topic: ''Spirit, Science, & Mathematics''=== ...iscovery. This is the closest you can come to being aware of yourself as a pure time-and-space transcended personality. You are the eye that sees, but cann

...ing molecules as the smallest [[list of particles#Molecules|particles]] of pure [[chemical substance]]s that still retain their [[chemical compound|composi ...are composed of repeating [[unit cell]]s that extend either in a [[Plane (mathematics)|plane]] (such as in [[graphite]]) or three-dimensionally (such as in [[dia

...you went to school and you were taught the basics. And the basics, such as mathematics, became very familiar to you and soon you were taught greater forms of equa ...and they do resonate onto the halls of Paradise, for your expressions are pure, they are clear and they are direct. They are like flowers that are promise

...onaries at "reference.com"]. Science as defined here is sometimes termed [[pure science]] to differentiate it from [[applied science]], which is the applic [[Mathematics]], which is sometimes classified within a third group of science called [[f

...tionaries at "reference.com"] Science as defined here is sometimes termed 'pure science' to differentiate it from [[applied science]], which is the applica [[Mathematics]], which is sometimes classified within a third group of science called [[f

...formal subjects of [[Natural Sciences|physical science]], [[medicine]], [[mathematics]], [[poetics]] and [[music]]. Since the beginning of modern philosophy duri ===Abstract objects and mathematics===

...simply the study of a deeper [[spiritual]] [[reality]] that extends beyond pure [[reason]] and the [[physical sciences]].[5] The terms [[esoteric]] and arc ...chopenhauer also points towards this inherently [[relativistic]] nature of mathematics and conventional science in his formulation of the '''World as Will'''. By

...ve, allowing yourselves to receive, embrace, transform and manipulate this pure energy through the power centers, or chakras, within your bodies. You will ...ed reach whole new levels of directing this "bright white light" energy of pure love to manifest whatever your noble ideals may be, becoming truly empowere

...will be able to grow into the life beyond the morontia state, the realm of pure spirit. You will not be able to develop all that you need here in your curr ...ientist have yet to discover it? Could the ultimaton be discovered through mathematics or a scientific formula? I would appreciate your insight on this matter. Th

...certain abstract concepts are used for handling physical reality, such as mathematics and geometry, then on into certain kinds of sociology, then as well for app ...hysical world as devoid of personal mind as you can make it – the ideal of pure objectivity, which is experientially impossible. For now even your own scie

...elds such as [[mathematics]]. Most of our everyday reasoning is of a less "pure" nature.

...perhaps following the Persian philosopher [[Avicenna]], argued that God is pure being, and that in God [[essence]] and existence are the same. At about th ...istence itself does not have''. [[Bertrand Russell]] - ''The Principles of Mathematics''

...pendent variable did not affect the dependent variable as predicted). Such pure applications are rare, however, in part because a result can sometimes be c : "Today's [[scientist]]s have substituted [[mathematics]] for experiments, and they wander off through [[equation]] after equation,

In [[mathematics]], [[Computer Science|computing]], [[linguistics]] and related subjects, an [[Al-Khwārizmī]], Persian [[astronomy|astronomer]] and [[mathematics|mathematician]], wrote a treatise in 825 AD, ''On Calculation with Hindu Nu

...maybe, thirty or forty years ago for some of you, and it can bring back a pure feeling of what you were doing then, that can capture the whole mood of you ...constraints or conditions. This is what transforms us. Once you taste this pure essence and thrill in its reality, who wouldn’t choose to be a part of th

...f it is called "reason," and from these abilities you devise philosophies, mathematics, theorems, theories, proofs and so on, and this is adequate for your existe ...activity, but yet still are making major contributions to the arts and to mathematics and to writings, and to their lives and to the lives of those around them.

...in their early stages—from pottery, mining, and metallurgy to medicine and mathematics. The secret transmission of methods, tools, and recipes is abundantly docum ...would have become "pure" metals in the womb of Mother Earth. Further, the "pure" metals would have become gold if they had been allowed to "grow" undisturb

...(1561-1626) and [[René Descartes]] (1596-1650), who demanded more rigor in mathematics and in removing bias from scientific observations, led to a [[scientific re ...nomenclature of chemical substances is set by the [[International Union of Pure and Applied Chemistry]] (IUPAC). There are well-defined systems in place fo

manners. The light of spirit is pure and white but every receptacle, every Your discipline of mathematics requires correct answers, opinion has little

...get in one another's way so badly that the work would be greatly delayed. Mathematics asserts that, if one person stands for a certain unit of intellectual and m .... Material science cannot demonstrate the existence of a soul; neither can pure spirit testing. Notwithstanding the failure of both material science and sp

...vestigation sets out to discover what makes the disciplines of science and mathematics possible. However, Kant turns to an analysis of human subjectivity, investi ...ving practical knowledge of the ‘supersensible’ realm of freedom. For Kant pure reason deals only with man’s scientific and technical utilization of natu

...tract]] the [[personal]] [[qualities]] from the [[Deity]] [[concept]] of [[pure]] [[monotheism]], thus reducing this [[idea]] of an unrelated [[God]] to th ...[survival]] of [[spiritual]] [[values]], man has ever to reckon with the [[mathematics]] and [https://en.wikipedia.org/wiki/Pre-measure premathematics] of [[force

.... So you would have to have farms—truly, you will need farms—to grow good, pure food, economically, profitably, productively. And the individual that comes ...e same thing in reading or writing, penmanship, [[history]] lessons, and [[mathematics]]? No! When you are age six, you go to grade one. When you are age seven, y

...patiotemporal structure. Instead of having a pure temporal structure and a pure spatial structure, there is a single relativistic "distance" between events ...he given magnitude). The Greeks had a deep [[insight]] when they divided [[mathematics]] into [[arithmetic]] (the theory of number) and [[geometry]] (the theory o

...successively weakened as [[time]] passed until finally the whole of the [[pure]]-line [https://nordan.daynal.org/wiki/index.php?title=Paper_76#76:4._THE_V 81:6.10 [[Science]] teaches man to speak the new [[language]] of [[mathematics]] and trains his [[thoughts]] along lines of exacting [[precision]]. And sc

...s of each other in [[succession]]. Near [[Paradise]] your encounters with pure [[spirit]] will [[embrace]] all your prior engagements, your earlier [[expe ...mistake because there was no [[curriculum]] incorporating [[reading]] or [[mathematics]] or [[science]] of any sort. But it was appropriate as an educational sys

...imited past-future in relation to any present moment; this would suggest a pure-eternity reaction to any event of time. ...the statements that are made in this connection, and if we reduce them to mathematics, the results will be somewhat shocking. Let us accordingly examine these st

those around you. The [[Archangels]] work with and through the [[pure]] of [[heart]] and with those who seek [[mathematics]] involved. It would be absolutely impossible to [[explain]] to the [[morta

...fer any sort of deterioration or ever to permit the [[execution]] of any [[pure]]ly [[personal]] [[act]] in an inferior way. It should be made clear, howev ...le additive [[consequences]] of such [[union]]s. The entire [[science]] of mathematics, the whole domain of [[philosophy]], the highest [[physics]] or [[chemistry

...uistics|Linguist]] [[George Lakoff]] has proposed a [[cognitive science of mathematics]] wherein even the most fundamental ideas of arithmetic would be seen as co * Minogue, Kenneth (1985) ''Alien Powers: The Pure Theory of Ideology'', Palgrave Macmillan, ISBN 0-312-01860-6

...iatic continent]. It is eighty-five thousand years since the last of the [[pure]] red men departed from Asia, but the long [[struggle]] left its [[genetic] ...wiki/index.php?title=Paper_78#78:4._THE_ANDITES Andite] [[migrations]] the pure red strains were spreading out over [https://www.en.wikipedia.org/wiki/ Nor

*6. [[Mathematics]]. ...m, the traditional Samkhyan philosophy is [[atheistic]] and [[dualistic]]. Pure [[spirit]] (called purusha) comes into proximity with prakriti (psychophysi

...a particular direction. You can intuit its pathway. Call it imagination or pure conjecture, I don't care, but it's what I've done in this case. I truly don ...erse, while constrained with the tools of particle physics, cosmology, and mathematics, is partial at best, and completely inaccurate at worst."

...anged to law but mainly read literature, philology, and rhetoric, but also mathematics and science. He left university without completing his studies and became t ...Metacritique”, a word he coined for his engagement with Kant's Critique of Pure Reason. Instead of creating a systematic theology, or an [[epistemology]],

...sheep in ten minutes, ten men could shear it in one minute. That is sound mathematics, but it is not true, for the ten men could not so do it; they would get in 133:5.6 [[Mathematics]] asserts that, if one person stands for a certain [[unit]] of [[intellectu

...of God can never be [[proved]] by [[scientific]] [[experiment]] or by the pure [[reason]] of [[logical]] [[deduction]]. God can be [[realized]] only in th ...106 - Universe Levels of Reality|universe reality]] cannot be grasped by [[mathematics]], [[logic]], or [[philosophy]], only by personal experience in [[progressi

information to a few in the field of mathematics and physics on earth (Urantia). So that the average man who does not do things like advanced mathematics and sociological

Dr. Neruda: "They have encoded the discovery of language, mathematics, music, and so forth into our genetic structures. As we evolve, certain for ...nd it had peculiar markings or symbols that seemed other-worldly. It was a pure grade composite of unknown origin. Also, and perhaps more importantly, ther

...hree Paradise Deities in action. (184,1) Even the Gods are unable to alter mathematics. ...ral to the absolute mind of the Infinite Spirit. They are pure spirits and pure energy and traverse space over the material-gravity circuits of Paradise. (

...no creation myth. They also possess no concept of [[time]], [[history]], [[mathematics]], and almost no [[art]].<ref>[https://www.guardian.co.uk/theguardian/2006/ ...thing as immaterial matter. All spirit is matter, but it is more fine or pure, and can only be discerned by purer eyes; we cannot see it; but when our bo

...successively weakened as [[time]] passed until finally the whole of the [[pure]]-line [https://nordan.daynal.org/wiki/index.php?title=Paper_76#76:4._THE_V 81:6.10 [[Science]] teaches man to speak the new [[language]] of [[mathematics]] and trains his [[thoughts]] along lines of exacting [[precision]]. And sc

...s from saying that we know anything whatever, except perhaps the truths of mathematics and formal logic."[https://plato.stanford.edu/entries/atheism-agnosticism/] ...else all moral laws are to be considered as idle dreams..." (''Critique of Pure Reason'', A811). Moral precepts such as "murder is wrong" are seen as divin

mathematics, and thirty-five to medicine and the natural sciences. As someone because it is in the same relation of pure potency to actuality as that of prime matter

...egated in blue, green, and violet, were serene yet radiant. Long beards of pure white hair touched their chests. They were dressed in emerald-colored robes ...that they've created a multi-dimensional language that integrates their [[mathematics]] with their [[alphabet]] as a way of communicating a deeper [[meaning]]. I

character of the manifestations. We may attract to us the elevated and the pure, just mathematics without a Master Mathematician? Science may expatiate on the

...ded. Such a field can be articulated as pure simultaneity (12-note chord), pure succession (12-note row) or as part-simultaneity and part-succession. While ...entific foundations of musical actualities not in Platonically interpreted mathematics but in physics, the most advanced discipline of his times: the Platonic ide

...At William & Mary, he enrolled in the [[philosophy]] school and studied [[mathematics]], [[metaphysics]], and philosophy under Professor William Small, who intro ...steem for Jesus's moral teachings, which he viewed as the "principles of a pure deism, and juster notions of the attributes of God, to reform moral doctrin

...easingly to intellectual effort while the concept of leisure is applied to pure spirit development, but there will come the day of widespread realization t ...so do the ego minds of the humans transform in time and render themselves pure in spiritual light and love. Sometimes it is important to look at the large