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William Of Auberive
William of Auberive (french: Guillaume d'Auberive) was a Cistercian monk and numerologist who served as the abbot of from 1165 until 1186.Uta-Renate Blumenthal, "Cardinal Albinus of Albano and the ''Digesta pauperis scolaris Albini'': Ms. Ottob. lat. 3057", ''Archivum Historiae Pontificiae'' 20 (1982): 7–49 (at p. 37, n. 124). Two of William's treatises—''De sacramentis numerorum a ternario usque ad duodenarium'' and ''Regule arithmetice''—and three of his letters have been published. Robert Earl Kaske, Arthur Groos and Michael W. Twomey, ''Medieval Christian Literary Imagery: A Guide to Interpretation'' (University of Toronto Press, 1988), p. 171. He belonged to a group of Cistercians whose work was an expansion on the work of Hugh of Saint-Victor allegorizing numbers in the Bible. His ''De sacramentis'' on the numbers three (3) through twelve (12) is a direct continuation of the ''Analytica numerorum'' of Odo of Morimond on the first three natural numbers. It was itself ...
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Cistercian
The Cistercians, () officially the Order of Cistercians ( la, (Sacer) Ordo Cisterciensis, abbreviated as OCist or SOCist), are a Catholic religious order of monks and nuns that branched off from the Benedictines and follow the Rule of Saint Benedict, as well as the contributions of the highly-influential Saint Bernard of Clairvaux, known as the Latin Rule. They are also known as Bernardines, after Saint Bernard himself, or as White Monks, in reference to the colour of the "cuculla" or cowl (choir robe) worn by the Cistercians over their habits, as opposed to the black cowl worn by Benedictines. The term ''Cistercian'' derives from ''Cistercium,'' the Latin name for the locale of Cîteaux, near Dijon in eastern France. It was here that a group of Benedictine monks from the monastery of Molesme founded Cîteaux Abbey in 1098, with the goal of following more closely the Rule of Saint Benedict. The best known of them were Robert of Molesme, Alberic of Cîteaux and the English ...
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Geoffrey Of Auxerre
Geoffrey of Clairvaux, or Geoffrey of Auxerre, was the secretary and biographer of Bernard of Clairvaux and later abbot of a number of monasteries in the Cistercian tradition. Life He was born between the years 1115 and 1120, at Auxerre. At an early age he entered the ranks of the clergy, and followed for some time the course of lectures given by Abelard.Schaefer, Francis. "Geoffrey of Clairvaux." The Catholic Encyclopedia
Vol. 6. New York: Robert Appleton Company, 1909. 5 January 2019
In 1140 Bernard of Clairvaux came to Paris, and before the assembled scholars preached a sermon "De conversione ad clericos", in which he dwelt on the vanities of a life in the world, on the necessity of a sincere conversion, and on the peace to be found in the monastic profession. Geoffrey, with sever ...
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12th-century Latin Writers
1 (one, unit, unity) is a number representing a single or the only entity. 1 is also a numerical digit and represents a single unit of counting or measurement. For example, a line segment of ''unit length'' is a line segment of length 1. In conventions of sign where zero is considered neither positive nor negative, 1 is the first and smallest positive integer. It is also sometimes considered the first of the infinite sequence of natural numbers, followed by  2, although by other definitions 1 is the second natural number, following  0. The fundamental mathematical property of 1 is to be a multiplicative identity, meaning that any number multiplied by 1 equals the same number. Most if not all properties of 1 can be deduced from this. In advanced mathematics, a multiplicative identity is often denoted 1, even if it is not a number. 1 is by convention not considered a prime number; this was not universally accepted until the mid-20th century. Additionally, 1 is the ...
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Aliquot Sum
In number theory, the aliquot sum ''s''(''n'') of a positive integer ''n'' is the sum of all proper divisors of ''n'', that is, all divisors of ''n'' other than ''n'' itself. That is, :s(n)=\sum\nolimits_d. It can be used to characterize the prime numbers, perfect numbers, "sociable numbers", deficient numbers, abundant numbers, and untouchable numbers, and to define the aliquot sequence of a number. Examples For example, the proper divisors of 12 (that is, the positive divisors of 12 that are not equal to 12) are 1, 2, 3, 4, and 6, so the aliquot sum of 12 is 16 i.e. (1 + 2 + 3 + 4 + 6). The values of ''s''(''n'') for ''n'' = 1, 2, 3, ... are: :0, 1, 1, 3, 1, 6, 1, 7, 4, 8, 1, 16, 1, 10, 9, 15, 1, 21, 1, 22, 11, 14, 1, 36, 6, 16, 13, 28, 1, 42, 1, 31, 15, 20, 13, 55, 1, 22, 17, 50, 1, 54, 1, 40, 33, 26, 1, 76, 8, 43, ... Characterization of classes of numbers The aliquot sum function can be used to characterize several notable classes of numbers: *1 is the only number whose ...
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Perfect Numbers
In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3 (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number. The sum of divisors of a number, excluding the number itself, is called its aliquot sum, so a perfect number is one that is equal to its aliquot sum. Equivalently, a perfect number is a number that is half the sum of all of its positive divisors including itself; in symbols, \sigma_1(n)=2n where \sigma_1 is the sum-of-divisors function. For instance, 28 is perfect as 1 + 2 + 4 + 7 + 14 = 28. This definition is ancient, appearing as early as Euclid's ''Elements'' (VII.22) where it is called (''perfect'', ''ideal'', or ''complete number''). Euclid also proved a formation rule (IX.36) whereby q(q+1)/2 is an even perfect number whenever q is a prime of the form 2^p-1 for positive integer p—what is now called a Mersenne prime. Two millennia ...
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Boethius
Anicius Manlius Severinus Boethius, commonly known as Boethius (; Latin: ''Boetius''; 480 – 524 AD), was a Roman senator, consul, ''magister officiorum'', historian, and philosopher of the Early Middle Ages. He was a central figure in the translation of the Greek classics into Latin, a precursor to the Scholastic movement, and, along with Cassiodorus, one of the two leading Christian scholars of the 6th century. The local cult of Boethius in the Diocese of Pavia was sanctioned by the Sacred Congregation of Rites in 1883, confirming the diocese's custom of honouring him on the 23 October. Boethius was born in Rome a few years after the collapse of the Western Roman Empire. A member of the Anicii family, he was orphaned following the family's sudden decline and was raised by Quintus Aurelius Memmius Symmachus, a later consul. After mastering both Latin and Greek in his youth, Boethius rose to prominence as a statesman during the Ostrogothic Kingdom: becoming a senator by a ...
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Theobald Of Langres
Theobald of Langres ( fl. late 12th century) was a scholastic teacher and author, probably a lay schoolmaster, although he has also been identified as a Cistercian. He elaborated and expanded on the work of William of Auberive and Geoffrey of Auxerre Geoffrey of Clairvaux, or Geoffrey of Auxerre, was the secretary and biographer of Bernard of Clairvaux and later abbot of a number of monasteries in the Cistercian tradition. Life He was born between the years 1115 and 1120, at Auxerre. At an ea ..., crafting a more systematic theory of numerical symbolism. He left behind one treatise on the subject, ''De quatuor modis quibus significationes numerorum aperiuntur'', written in a dry style. It has been edited critically by René Delaflie (1978) and Hanne Lange (1979). A bit of Theobald's advice is: When you want to sacramentize a number .e., "make it mean" you should unfold the aforesaid ways of sacramentizing, and turn them over in your mind, because in such frequent consideration ...
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13 (number)
13 (thirteen) is the natural number following 12 and preceding 14. Strikingly folkloric aspects of the number 13 have been noted in various cultures around the world: one theory is that this is due to the cultures employing lunar-solar calendars (there are approximately 12.41 lunations per solar year, and hence 12 "true months" plus a smaller, and often portentous, thirteenth month). This can be witnessed, for example, in the "Twelve Days of Christmas" of Western European tradition. In mathematics The number 13 is the sixth prime number. It is a twin prime with 11, as well as a cousin prime with 17. It is the second Wilson prime, of three known (the others being 5 and 563), and the smallest emirp in decimal. 13 is: *The second star number: *The third centered square number: * A happy number and a lucky number. *A Fibonacci number, preceded by 5 and 8. *The smallest number whose fourth power can be written as a sum of two consecutive square numbers (1192 + 1202). *The s ...
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Odo Of Morimond
Odo or ODO may refer to: People * Odo, a given name; includes a list of people and fictional characters with the name * Franklin Odo (born 1939), Japanese-American historian * Seikichi Odo (1927–2002), Japanese karateka * Yuya Odo (born 1990), Japanese rugby union player Sport * Ōdō Tournament, a Japanese professional wrestling competition * ODO Riga, a defunct sports club in Riga, Latvian SSR * FC CSKA Kyiv, formerly ODO Kyiv, a Ukrainian football club * SC Odesa, formerly ODO Odesa, a Ukrainian football club * SKA Lviv, formerly ODO Lviv, a Ukrainian football club Other uses * ''Odo'' (spider), a genus of spiders * Odo Dam, a dam in Kōchi Prefecture, Japan * Bodaybo Airport (IATA code), Irkutsk Oblast, Russia * Oxford Dictionaries Online, now Lexico, a dictionary website * ''ODO'', a 2008 EP by the Funeral Orchestra * "Odo", a 2021 song by Ado * Odometer An odometer or odograph is an instrument used for measuring the distance traveled by a vehicle, such as a bicycle ...
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Numerologist
Numerology (also known as arithmancy) is the belief in an occult, divine or mystical relationship between a number and one or more coinciding events. It is also the study of the numerical value, via an alphanumeric system, of the letters in words and names. When numerology is applied to a person's name, it is a form of onomancy. It is often associated with the paranormal, alongside astrology and similar to divinatory arts. Despite the long history of numerological ideas, the word "numerology" is not recorded in English before c. 1907. The term numerologist can be used for those who place faith in numerical patterns and draw inferences from them, even if those people do not practice traditional numerology. For example, in his 1997 book ''Numerology: Or What Pythagoras Wrought'' (), mathematician Underwood Dudley uses the term to discuss practitioners of the Elliott wave principle of stock market analysis. History The practice of gematria, assigning numerical values to wor ...
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12 (number)
12 (twelve) is the natural number following 11 (number), 11 and preceding 13 (number), 13. Twelve is a superior highly composite number, divisible by 2 (number), 2, 3 (number), 3, 4 (number), 4, and 6 (number), 6. It is the number of years required for an Jupiter#Pre-telescopic research, orbital period of Jupiter. It is central to many systems of timekeeping, including the Gregorian calendar, Western calendar and time, units of time of day and frequently appears in the world's major religions. Name Twelve is the largest number with a monosyllable, single-syllable name in English language, English. Early Germanic languages, Germanic numbers have been theorized to have been non-decimal: evidence includes the unusual phrasing of 11 (number), eleven and twelve, the long hundred, former use of "hundred" to refer to groups of 120 (number), 120, and the presence of glosses such as "tentywise" or "ten-count" in medieval texts showing that writers could not presume their readers would no ...
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Bible
The Bible (from Koine Greek , , 'the books') is a collection of religious texts or scriptures that are held to be sacred in Christianity, Judaism, Samaritanism, and many other religions. The Bible is an anthologya compilation of texts of a variety of forms originally written in Hebrew, Aramaic, and Koine Greek. These texts include instructions, stories, poetry, and prophecies, among other genres. The collection of materials that are accepted as part of the Bible by a particular religious tradition or community is called a biblical canon. Believers in the Bible generally consider it to be a product of divine inspiration, but the way they understand what that means and interpret the text can vary. The religious texts were compiled by different religious communities into various official collections. The earliest contained the first five books of the Bible. It is called the Torah in Hebrew and the Pentateuch (meaning ''five books'') in Greek; the second oldest part was a coll ...
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