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	Quadrivium - Wikipedia, the free encyclopedia
		In medieval educational theory, the quadrivium consisted of arithmetic, geometry, music, and astronomy.
		In turn, the quadrivium was considered preparatory work for the serious study of philosophy and theology.
		The quadrivium could be considered as the study of number: arithmetic was pure number, geometry was number in space, music number in time, and astronomy number in space and time.
	en.wikipedia.org /wiki/Quadrivium (231 words)

	International Catholic University 7.6
		Lecture 6: The Mathematical Arts of the Quadrivium II We have been discussing the philosophy and history of the liberal arts, and we have come to the point where we can discuss the mathematical arts of the Trivium.
		The arts of the Quadrivium, their identification, enumeration, and distinction was the work of the ancient Pythagoreans.
		The Quadrivium possesses no account of the battle among its arts corresponding to that which we found among the arts of the Trivium.
	home.comcast.net /~icuweb/c00706.htm (6029 words)

	CONK! Encyclopedia: Music (Site not responding. Last check: 2007-10-07)
		The study of music of non-western cultures, and the cultural study of music, is called ethnomusicology.
		In Medieval times, the study of music was one of the Quadrivium of the seven Liberal Arts and considered vital to higher learning.
		Within the quantitative Quadrivium, music, or more accurately harmonics, was the study of rational proportions.
	www.conk.com /search/encyclopedia.cgi?q=Music (2957 words)

	Sigma Xi: The Scientific Research Society: 2001 Forum Proceedings: George Bugliarello (Site not responding. Last check: 2007-10-07)
		The purpose of the medieval trivium and quadrivium was thus to elevate and prepare.
		Of the quadrivium, arithmetic and geometry are embodied in math, an introduction to astronomy is one of the more popular science offerings in liberal arts education and the teaching of music expanded its scope, abandoning the mathematical focus it had in the quadrivium.
		Thus a new quadrivium is needed to complement the trivium, to provide an understanding of this biosomic context of our life, starting with the quintessential biosomic nature of the fountainhead of civilization, the city.
	www.sigmaxi.org /meetings/archive/forum.2001.online.tri.shtml (4795 words)

	International Catholic University 7.2
		The Quadrivium on the other hand is felt to be somehow more natural and less conventional than the Trivium and its truths to be rooted in the nature of things.
		The poet is trained in language and all the arts necessary for their use, but he is formed by information about human actions which belongs generally to the realm of ethics and natural things, the latter of which is the concern of the Quadrivium.
		The fight between the Trivium and the Quadrivium and between the arts within the Trivium particularly became most violent, changing most, in the twelfth and thirteenth centuries in Europe because the twelfth and thirteenth centuries saw the reentry into Europe of the entire corpus of the works of Aristotle.
	home.comcast.net /~icuweb/c00702.htm (6055 words)

	OHF: The Quadrivium
		The mandala used by the OHF is a contemporary religious symbol based on the Celtic Cross, the Wiccan circle, and the Asatru Eye of Wodin.
		Resembling the shape of 10th century Viking earth-works and marks found on Bronze Age altars, the OHF Quadrivium combines the arc, circle, and equilateral cross to evoke a collection of Pagan ideograms - including a warrior's shield, the four transitional phases of the moon, faerie rings, and crossroads.
		In numerology, the Quadrivium is related to the number "four" and the associated trait of practicality.
	www.openhearth.org /info/quadrivium.shtml (370 words)

	MATHEMATICS (Site not responding. Last check: 2007-10-07)
		This, therefore, is the quadrivium by which we bring a superior mind from knowledge offered by the senses to the more certain things of the intellect.
		There are various steps and certain dimensions of progressing by which the mind is able to ascend so that by means of the eye of the mind, which (as Plato says) is composed of many corporeal eyes and is of higher dignity than they, truth can be investigated and beheld.
		This eye, I say, submerged and surrounded by the corporeal senses, is in turn illuminated by the disciplines of the quadrivium.
	www.headmap.org /unlearn/maths/Quadrivium.htm (222 words)

	CATHOLIC ENCYCLOPEDIA: The Seven Liberal Arts
		The Quadrivium had, naturally, certain relations to to the sciences and to life; this was recognized by treating geography as a part of geometry, and the study of the calendar as part of astronomy.
		Grammar and rhetoric came to be the chief elements of the preparatory studies, while the sciences of the Quadrivium were embodied in the miscellaneous learning (eruditio) associated with rhetoric.
		In Catholic higher schools philosophy remained as the intermediate stage between philological studies and professional studies; while according to the Protestant scheme philosophy was taken over (to the university) as a Faculty subject.
	www.newadvent.org /cathen/01760a.htm (4602 words)

	quad (Site not responding. Last check: 2007-10-07)
		The addition of the QUADRIVIUM added the sciences to the TRIVIUM and broadened the scope of education.
		The seven subjects contained in the TRIVIUM and QUADRIVIUM came to be known as the SEVEN LIBERAL ARTS (Abelson, 1906) and served as the curriculum for education from the medieval age until the twentieth century.
		Just as centuries earlier, the addition of the quadrivium added the sciences to the largely cultural trivium and broadened the scope of education, there was a need in the early 1900s to go even further in broadening the scope of education.
	www.cals.ncsu.edu /agexed/aee501/quad.html (6091 words)

	Quadrivium's Home Page (Site not responding. Last check: 2007-10-07)
		We have made ourselves dependent on them, these forgotten artists, and their numbers are declining.
		In medieval universities, the Quadrivium was the group of higher sciences of the liberal arts: arithmetic, geometry, astronomy and music.
		Many more arts are alive today, and Quadrivium Electronics Design masters the higher art of analog chip design.
	www.quadrivium.nl (187 words)

	Quadrivium Enterprises (Site not responding. Last check: 2007-10-07)
		Quadrivium Enterprises is the gateway to information technology in Northwest Arkansas.
		Quadrivium Enterprises is now sponsoring the Northwest Arkansas Cisco Users Group web site.
		These services will also be used to support community events that Quadrivium or any of our affiliates may be involved in.
	www.qenterprises.com (187 words)

	Number symbolism in the Mediterranean before A.D. 1000: a select bibliography (Site not responding. Last check: 2007-10-07)
		Ancient astronomers did not distinguish astrology from astronomy, although they seem to have used the same science to different ends, thereby forming the basis for the distinction, which first appears around the sixth century A.D. As the fourth mathematical discipline, it is also the most complex.
		Under the scheme of mathematics that would become the basis of the medieval quadrivium, these four mathemata were arithmetic, geometry, music, and astronomy (sometimes called stereometry).
		Although the term was developed late, the quadrivium as a cornerstone of ancient pedagogy goes back at least to late antiquity, if not before.
	students.cua.edu /16kalvesmaki/Arithmetic/glossary.htm (1207 words)

	The Medieval Trivium - Tamara Mazzei
		The trivium, said by John of Salisbury (in Metalogicon) to concern "the power of language," referred to the study of grammar, rhetoric, and logic (dialectic).
		The arts of the trivium were considered a necessary base for mastering the arts of the quadrivium.
		It is worth noting that the arts of the trivium were more significant than merely learning to speak well and to use proper syntax, as the modern usage of the words might imply.
	www.triviumpublishing.com /articles/trivium.html (563 words)

	Computer and Information Literacy
		The use of the terms trivium and quadrivium were also a play on words.
		Roughly translated trivium means "where three roads meet." Quadrivium means "where four roads meet." Capella and Varro were also stating that it was not enough to simply learn the seven subject areas, but that an essential part of the educational process is the synthesis — learning how the subjects interact.
		Although one may argue over the quadrivium aspects of a liberal arts curriculum, one cannot argue about the fundamental and essential character of the trivium.
	academic.uofs.edu /faculty/beidler/CILit (2051 words)

	The Quadrivium (Site not responding. Last check: 2007-10-07)
		They were divided into the three-fold Trivium of Grammar, Logic, and Rhetoric, and the four-fold Quadrivium of Arithmetic, Geometry, Music, and Astronomy.
		The astronomer (and astrologer) Kepler was led to his discovery of the mathematical laws of planetary motion by his investigation of the "music of the spheres" and his discovery that the five Platonic solids could be nested within the orbits of the known planets.
		Ficino's and Agrippa's magickal philosophies were based on the metaphysical arts of the Quadrivium.
	members.aol.com /oldenwilde/members/diu/quadriv.html (1998 words)

	Quadrivium (Site not responding. Last check: 2007-10-07)
		El quadrivium abarcó los cuatro temas enseñados en universidades medievales después del trivium.
		Alternadamente, el quadrivium era considerado trabajo preparatorio para el estudio serio de la filosofía y de la teología.
		El quadrivium se podía considerar como el estudio del número: la aritmética era número puro, geometría era número en espacio, número de la música en en tiempo, y número de la astronomía espacio y tiempo.
	www.yotor.net /wiki/es/qu/Quadrivium.htm (170 words)

	Q U I N T I V I U M : The Integration of Inquiry
		Quadrivium was developed by pseudo-Pythagoreans, whose number included Plato, not by quasi-Pythagoreans.
		It was a five-fold study reflecting the five-fold nature of the Universe, which is combinations and permutations of the five Elemental Principles: Ether, Air, Fire, Water, Earth.
		Behind any discussion of education reform is this matter of correcting the structure of the study of phenomena by reinstating its first element, Ether.
	www.adwaitha-hermitage.net /reminisc/quinti.html (1503 words)

	The Seven Liberal Arts (Site not responding. Last check: 2007-10-07)
		The Liberal Arts were divided into the Trivium ("the three roads") and the Quadrivium ("the four roads").
		The medival Quadrivium thus followed the division of mathematics made by the Pythagoreans.
		Recently, mathematics has been defined as "the study of patterns in space and time," which very much resembles the ancient Pythagorean understanding of mathematics.
	cosmopolis.com /villa/liberal-arts.html (167 words)

	Read about Music at WorldVillage Encyclopedia. Research Music and learn about Music here! (Site not responding. Last check: 2007-10-07)
		Quadrivium of the seven Liberal Arts and considered vital to higher learning.
		Within the quantitative Quadrivium, music, or more accurately
		Zoomusicology is the study of the music of non-human animals, or the musical aspects of sounds produced by non-human animals.
	encyclopedia.worldvillage.com /s/b/Music (2554 words)

	Abstract, Nexus 98, Gert Sperling: The Quadrivium in the Pantheon of Rome
		Abstract, Nexus 98, Gert Sperling: The Quadrivium in the Pantheon of Rome
		It "resembles the heavens", but is a resemblance based on mathematical knowledge, a summary of the ancient quadrivium.
		Gert Sperling, "The Quadrivium in the Pantheon of Rome", pp.
	www.nexusjournal.com /conferences/N1998-Sperling.html (311 words)

	The Lost Tools of Learning (Site not responding. Last check: 2007-10-07)
		The syllabus was divided into two parts: the Trivium and Quadrivium.
		The interesting thing for us is the composition of the Trivium, which preceded the Quadrivium and was the preliminary discipline for it.
		At 16, he would be ready to start upon those "subjects" which are proposed for his later study at the university: and this part of his education will correspond to the mediaeval Quadrivium.
	www.gbt.org /text/sayers.html (6135 words)

	Bryn Mawr Classical Review 2002.04.16
		Thus, passages retrieved in Antiquarium can be copied and pasted into a word processing program (for example), where they will display and print (beautifully, by the way) just as well as they do in the program itself.
		Although Antiquarium is commercial software, many features of the program are enabled in the demo version available at the Quadrivium web site (http://quadrivium.uogame.org/antiquarium.html), from which the complete set of required Antiquarium fonts can also be retrieved.
		The Quadrivium web site is rather slow, but it is preferable to the parallel geocities site (http://www.geocities.com/quadrvm/antiquarium.html), with its web cookies and advertisements.
	ccat.sas.upenn.edu /bmcr/2002/2002-04-16.html (1240 words)

	Bryn Mawr Classical Review 2005.09.10
		If one recalls that the TLG Beta Code Manual 2004 Edition has 110 pages, it's well understandable why the developers of all other browsers for TLG/PHI have chosen to implement only a (quite variable) subset of it, with the symbols most commonly used in literature and epigraphy.
		In the future it is to be hoped that at least the creation of concordances will be implemented, while the speed of the search engine is already impressive today.
		Quadrivium Software has announced for late 2005 a truly revolutionary product, a version of Antiquarium for Pocket PC handhelds: if the complex technical problems of such an enterprise can be satisfactorily solved, it will be possible to use the TLG/PHI databases even on the road, on vacation, on the top of mount Everest...
	ccat.sas.upenn.edu /bmcr/2005/2005-09-10.html (800 words)

	Welcome to the Quadrivium Software homepage (Site not responding. Last check: 2007-10-07)
		Quadrivium Lame32 supports the most valuable features of this excellent encoder.
		Quadrivium Lame32 is extremely stable, therefore we recommend it in the first place for batch encoding jobs.
		It means that you can use it absolutely free of charge, with no warranties and/or commercial requirements from our side.
	www.geocities.com /Athens/Agora/7024/lame32.html (355 words)

	Quadrivium Research Corporation - Convergence Industry Newsletter (Site not responding. Last check: 2007-10-07)
		Quadrivium Research Corporation does not make any representation as to the accuracy or completeness of information and/or links contained in the Convergence Industry Newsletter.
		The information provided through the Convergence Industry Newsletter is available to users at their own risk and Quadrivium Research Corporation is not liable for any damages arising from use of the Convergence Industry Newsletter.
		Quadrivium Research Corporation reserves the right to make modifications to the form and format of the Convergence Industry Newsletter at its sole discretion.
	www.quadriviumresearch.com /richardr/legal.html (224 words)

	House Rules of the Ad Astra Per Aspera Saga
		The Quadrivium is the discipline of mathematics in its classical forms of arithmetic, geometry, astronomy and music.
		Studying genera within the Quadrivium is common within the Order of Hermes, as each genus of the Quadrivium has many applications for a magus.
		For example, Geometry is a genus of the Quadrivium.
	www.dtek.chalmers.se /~d1elric/adastra/rules/abilities.html (718 words)

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