Clavius
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Clavius
Christopher Clavius, SJ (25 March 1538 – 6 February 1612) was a Jesuit German mathematician, head of mathematicians at the Collegio Romano, and astronomer who was a member of the Vatican commission that accepted the proposed calendar invented by Aloysius Lilius, that is known as the Gregorian calendar. Clavius would later write defences and an explanation of the reformed calendar, including an emphatic acknowledgement of Lilius' work. In his last years he was probably the most respected astronomer in Europe and his textbooks were used for astronomical education for over fifty years in and even out of Europe. Early life Little is known about Clavius' early life other than the fact that he was born in Bamberg in either 1538 or 1537. His given name is not known to any great degree of certainty—it is thought by scholars to have perhaps been ''Christoph Clau'' or ''Klau''. There are also some who think that his taken name, ''Clavius'', may be a Latinization of his original Ge ...
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Clavius - In Sphaeram Ioannis De Sacro Bosco Commentarius, 1585 - 89735
Christopher Clavius, SJ (25 March 1538 – 6 February 1612) was a Jesuit German mathematician, head of mathematicians at the Collegio Romano, and astronomer who was a member of the Vatican commission that accepted the proposed calendar invented by Aloysius Lilius, that is known as the Gregorian calendar. Clavius would later write defences and an explanation of the reformed calendar, including an emphatic acknowledgement of Lilius' work. In his last years he was probably the most respected astronomer in Europe and his textbooks were used for astronomical education for over fifty years in and even out of Europe. Early life Little is known about Clavius' early life other than the fact that he was born in Bamberg in either 1538 or 1537. His given name is not known to any great degree of certainty—it is thought by scholars to have perhaps been ''Christoph Clau'' or ''Klau''. There are also some who think that his taken name, ''Clavius'', may be a Latinization of his original Ge ...
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Gregorian Calendar
The Gregorian calendar is the calendar used in most parts of the world. It was introduced in October 1582 by Pope Gregory XIII as a modification of, and replacement for, the Julian calendar. The principal change was to space leap years differently so as to make the average calendar year 365.2425 days long, more closely approximating the 365.2422-day 'tropical' or 'solar' year that is determined by the Earth's revolution around the Sun. The rule for leap years is: There were two reasons to establish the Gregorian calendar. First, the Julian calendar assumed incorrectly that the average solar year is exactly 365.25 days long, an overestimate of a little under one day per century, and thus has a leap year every four years without exception. The Gregorian reform shortened the average (calendar) year by 0.0075 days to stop the drift of the calendar with respect to the equinoxes.See Wikisource English translation of the (Latin) 1582 papal bull '' Inter gravissimas''. Second, ...
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Pope Gregory XIII
Pope Gregory XIII ( la, Gregorius XIII; it, Gregorio XIII; 7 January 1502 – 10 April 1585), born Ugo Boncompagni, was head of the Catholic Church and ruler of the Papal States from 13 May 1572 to his death in April 1585. He is best known for commissioning and being the namesake for the Gregorian calendar, which remains the internationally accepted civil calendar to this day. Early biography Youth Ugo Boncompagni was born the son of Cristoforo Boncompagni (10 July 1470 – 1546) and of his wife Angela Marescalchi in Bologna, where he studied law and graduated in 1530. He later taught jurisprudence for some years, and his students included notable figures such as Cardinals Alexander Farnese, Reginald Pole and Charles Borromeo. He had an illegitimate son after an affair with Maddalena Fulchini, Giacomo Boncompagni, but before he took holy orders, making him the last Pope to have left issue. Career before papacy At the age of 36 he was summoned to Rome by Pope Paul III (1534†...
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Pedro Nunes
Pedro Nunes (; Latin: ''Petrus Nonius''; 1502 – 11 August 1578) was a Portuguese mathematician, cosmographer, and professor, from a New Christian (of Jewish origin) family. Considered one of the greatest mathematicians of his time, Nunes is best known for his contributions to the nautical sciences (navigation and cartography), which he approached, for the first time, in a mathematical way. He was the first to propose the idea of a loxodrome, and was the inventor of several measuring devices, including the nonius (from which Vernier scale was derived), named after his Latin surname. Life Little is known about Nunes' early education, life or family background, only that he was born in Alcácer do Sal, his origins are Jewish and that his grandchildren spent a few years behind bars after they were accused by the Portuguese Inquisition of professing and secretly practicing Judaism. He studied at the University of Salamanca, maybe from 1521 until 1522, and at the University o ...
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Consequentia Mirabilis
''Consequentia mirabilis'' (Latin for "admirable consequence"), also known as Clavius's Law, is used in traditional and classical logic to establish the truth of a proposition from the inconsistency of its negation. It is thus related to ''reductio ad absurdum'', but it can prove a proposition using just its own negation and the concept of consistency. For a more concrete formulation, it states that if a proposition is a consequence of its negation, then it is true, for consistency. In formal notation: : (\neg A \rightarrow A) \rightarrow A . Equivalent forms Given P\to Q being equivalent to \neg P\lor Q, the principle is equivalent to :(\neg \neg A \lor A) \rightarrow A . History ''Consequentia mirabilis'' was a pattern of argument popular in 17th-century Europe that first appeared in a fragment of Aristotle's '' Protrepticus:'' "If we ought to philosophise, then we ought to philosophise; and if we ought not to philosophise, then we ought to philosophise (i.e. in order to ju ...
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Aloysius Lilius
Aloysius Lilius (c. 1510 – 1576), also variously referred to as Luigi Lilio or Luigi Giglio, was an Italian doctor, astronomer, philosopher and chronologist, and also the "primary author" who provided the proposal that (after modifications) became the basis of the Gregorian Calendar reform of 1582.For name-variants and a few biographical details (including citation to a biography published in 1963) see page 206 in: A Ziggelaar (1983)"The papal bull of 1582 promulgating a reform of the calendar" pages 201–239 in G. V. Coyne (ed.), ''The Gregorian Reform of the Calendar: Proceedings of the Vatican conference to commemorate its 400th anniversary'' (Vatican City: Specola Vaticana), 1983. The crater Lilius on the Moon is named after him, as is the asteroid 2346 Lilio. In computer science, the Lilian date is the number of days since the adoption of the Gregorian calendar on 15 October 1582. Life and work Not much is known about the early life of Lilius/Lilio/Giglio. It is know ...
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Benito Pereira
Benedict Pereira (also ''Pereyra'', ''Benet Perera'', ''Benet Pererius'') (March 4, 1536 – 6 March 1610) was a Spanish Jesuit philosopher, theologian, and exegete. Life Pereira was born at Ruzafa, near Valencia, in Spain. He entered the Society of Jesus in 1552 and taught successively literature, philosophy, theology, and sacred scripture in Rome, where he died. Works He published eight works, and left a vast deal of manuscript. (Sommervogel, infra, mentions twelve sets.) His main philosophical work is ''De communibus omnium rerum naturalium principiis et affectionibus libri quindecim'' (Rome, 1576). The main difficulties of the ''Book of Genesis'' are met in ''Commentariorum et disputationum in Genesim tomi quattuor'' (Rome, 1591–1599). This is a mine of information in regard to the Deluge, Noah's Ark, the Tower of Babel, etc., and was highly rated by Richard Simon (''Histoire critique du Vieux Testament'', III, xii). The "Commentariorum in Danielem prophetam libri s ...
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Bamberg
Bamberg (, , ; East Franconian: ''Bambärch'') is a town in Upper Franconia, Germany, on the river Regnitz close to its confluence with the river Main. The town dates back to the 9th century, when its name was derived from the nearby ' castle. Cited as one of Germany's most beautiful towns, with medieval streets and Europe's largest intact old city wall, the old town of Bamberg has been a UNESCO World Heritage Site since 1993. From the 10th century onwards, Bamberg became a key link with the Slav peoples, notably those of Poland and Pomerania. It experienced a period of great prosperity from the 12th century onwards, during which time it was briefly the centre of the Holy Roman Empire. Emperor Henry II was also buried in the old town, alongside his wife Kunigunde. The town's architecture from this period strongly influenced that in Northern Germany and Hungary. From the middle of the 13th century onwards, the bishops were princes of the Empire and ruled Bamberg, overseeing the c ...
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University Of Coimbra
The University of Coimbra (UC; pt, Universidade de Coimbra, ) is a Public university, public research university in Coimbra, Portugal. First established in Lisbon in 1290, it went through a number of relocations until moving permanently to Coimbra in 1537. The university is among the List of oldest universities in continuous operation, oldest universities in continuous operation in the world, the oldest in Portugal, and played an influential role in the development of higher education in the Lusophone, Portuguese-speaking world. In 2013, UNESCO declared the university a World Heritage Site, noting its architecture, unique culture and traditions, and historical role. The contemporary university is organized into eight faculty (division), faculties, granting bachelor's (''licenciado''), master's (''mestre'') and doctorate (''doutor'') degrees in nearly all major fields. It lends its name to the Coimbra Group of European research universities founded in 1985, of which it was a fou ...
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Prussian Tables
The ''Prutenic Tables'' ( la, Tabulae prutenicae from ''Prutenia'' meaning "Prussia", german: Prutenische oder Preußische Tafeln), were an ephemeris (astronomical tables) by the astronomer Erasmus Reinhold published in 1551 (reprinted in 1562, 1571 & 1585). They are sometimes called the ''Prussian Tables'' after Albert I, Duke of Prussia, who supported Reinhold and financed the printing. Reinhold calculated this new set of astronomical tables based on Nicolaus Copernicus' ''De revolutionibus orbium coelestium'', the epochal exposition of Copernican heliocentrism published in 1543. Throughout his explanatory canons, Reinhold used as his paradigm the position of Saturn at the birth of the Duke, on 17 May 1490. With these tables, Reinhold intended to replace the Alfonsine Tables; he added redundant tables to his new tables so that compilers of almanacs familiar with the older Alfonsine Tables could perform all the steps in an analogous manner. Several tables based on the Alfonsine ...
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Matteo Ricci
Matteo Ricci, SJ (; la, Mattheus Riccius; 6 October 1552 – 11 May 1610), was an Italians, Italian Society of Jesus, Jesuit Priesthood in the Catholic Church, priest and one of the founding figures of the Jesuit China missions. He created the , a 1602 map of the world written in Chinese characters. On the 17 December 2022 the Holy See, Apostolic See declared its recognition of Ricci’s ‘heroic virtues’, thereby bestowing upon him the honorific of Venerable. Ricci arrived at the History of Macau, Portuguese settlement of Macau in 1582 where he began his missionary work in China. He became the first European to enter the Forbidden City of Beijing in 1601 when invited by the Wanli Emperor, who sought his services in matters such as Chinese astronomy, court astronomy and Chinese calendar, calendrical science. He converted several prominent Chinese officials to Catholic Church, Catholicism. He also worked with several Chinese elites, such as Xu Guangqi, in translating '' ...
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Logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises in a topic-neutral way. When used as a countable noun, the term "a logic" refers to a logical formal system that articulates a proof system. Formal logic contrasts with informal logic, which is associated with informal fallacies, critical thinking, and argumentation theory. While there is no general agreement on how formal and informal logic are to be distinguished, one prominent approach associates their difference with whether the studied arguments are expressed in formal or informal languages. Logic plays a central role in multiple fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises together with a conclusion. Premises and conclusions are usually un ...
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