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Scientific Renaissance
During the Renaissance, great advances occurred in geography, astronomy, chemistry, physics, mathematics, manufacturing, anatomy and engineering. The collection of ancient scientific texts began in earnest at the start of the 15th century and continued up to the Fall of Constantinople in 1453, and the invention of printing allowed a faster propagation of new ideas. Nevertheless, some have seen the Renaissance, at least in its initial period, as one of scientific backwardness. Historians like George Sarton and Lynn Thorndike criticized how the Renaissance affected science, arguing that progress was slowed for some amount of time. Humanists favored human-centered subjects like politics and history over study of natural philosophy or applied mathematics. More recently, however, scholars have acknowledged the positive influence of the Renaissance on mathematics and science, pointing to factors like the rediscovery of lost or obscure texts and the increased emphasis on the study of lan ...
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Applied Mathematics
Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models. In the past, practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics where abstract concepts are studied for their own sake. The activity of applied mathematics is thus intimately connected with research in pure mathematics. History Historically, applied mathematics consisted principally of applied analysis, most notably differential equations; approximation theory (broadly construed, to include representations, asymptotic methods, variational ...
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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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Renaissance Philosophy
The designation "Renaissance philosophy" is used by scholars of intellectual history to refer to the thought of the period running in Europe roughly between 1400 and 1600 (the dates shift forward for central and northern Europe and for areas such as Spanish America, India, Japan, and China under European influence). It therefore overlaps both with late medieval philosophy, which in the fourteenth and fifteenth centuries was influenced by notable figures such as Albert the Great, Thomas Aquinas, William of Ockham, and Marsilius of Padua, and early modern philosophy, which conventionally starts with René Descartes and his publication of the ''Discourse on Method'' in 1637. Philosophers usually divide the period less finely, jumping from medieval to early modern philosophy, on the assumption that no radical shifts in perspective took place in the centuries immediately before Descartes. Intellectual historians, however, take into considerations factors such as sources, approaches, au ...
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Ptolemy
Claudius Ptolemy (; grc-gre, Πτολεμαῖος, ; la, Claudius Ptolemaeus; AD) was a mathematician, astronomer, astrologer, geographer, and music theorist, who wrote about a dozen scientific treatises, three of which were of importance to later Byzantine, Islamic, and Western European science. The first is the astronomical treatise now known as the '' Almagest'', although it was originally entitled the ''Mathēmatikē Syntaxis'' or ''Mathematical Treatise'', and later known as ''The Greatest Treatise''. The second is the ''Geography'', which is a thorough discussion on maps and the geographic knowledge of the Greco-Roman world. The third is the astrological treatise in which he attempted to adapt horoscopic astrology to the Aristotelian natural philosophy of his day. This is sometimes known as the ''Apotelesmatika'' (lit. "On the Effects") but more commonly known as the '' Tetrábiblos'', from the Koine Greek meaning "Four Books", or by its Latin equivalent ''Quadrip ...
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Aristotle
Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of philosophy within the Lyceum and the wider Aristotelian tradition. His writings cover many subjects including physics, biology, zoology, metaphysics, logic, ethics, aesthetics, poetry, theatre, music, rhetoric, psychology, linguistics, economics, politics, meteorology, geology, and government. Aristotle provided a complex synthesis of the various philosophies existing prior to him. It was above all from his teachings that the West inherited its intellectual lexicon, as well as problems and methods of inquiry. As a result, his philosophy has exerted a unique influence on almost every form of knowledge in the West and it continues to be a subject of contemporary philosophical discussion. Little is known about his life. Aristotle was born in th ...
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Printing Press
A printing press is a mechanical device for applying pressure to an inked surface resting upon a printing, print medium (such as paper or cloth), thereby transferring the ink. It marked a dramatic improvement on earlier printing methods in which the cloth, paper or other medium was brushed or rubbed repeatedly to achieve the transfer of ink, and accelerated the process. Typically used for texts, the invention and global spread of the printing press was one of the most influential events in the second millennium. In Germany, around 1440, goldsmith Johannes Gutenberg invented the movable-type printing press, which started the Printing Revolution. Modelled on the design of existing screw presses, a single Renaissance movable-type printing press could produce up to 3,600 pages per workday, compared to forty by History of typography in East Asia, hand-printing and a few by scribe, hand-copying. Gutenberg's newly devised matrix (printing), hand mould made possible the precise and ra ...
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Italy
Italy ( it, Italia ), officially the Italian Republic, ) or the Republic of Italy, is a country in Southern Europe. It is located in the middle of the Mediterranean Sea, and its territory largely coincides with the homonymous geographical region. Italy is also considered part of Western Europe, and shares land borders with France, Switzerland, Austria, Slovenia and the enclaved microstates of Vatican City and San Marino. It has a territorial exclave in Switzerland, Campione. Italy covers an area of , with a population of over 60 million. It is the third-most populous member state of the European Union, the sixth-most populous country in Europe, and the tenth-largest country in the continent by land area. Italy's capital and largest city is Rome. Italy was the native place of many civilizations such as the Italic peoples and the Etruscans, while due to its central geographic location in Southern Europe and the Mediterranean, the country has also historically been home ...
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Greek Scholars In The Renaissance
The migration waves of Byzantine Greek scholars and émigrés in the period following the end of the Byzantine Empire in 1453 is considered by many scholars key to the revival of Greek studies that led to the development of the Renaissance humanism and science. These émigrés brought to Western Europe the relatively well-preserved remnants and accumulated knowledge of their own (Greek) civilization, which had mostly not survived the Early Middle Ages in the West. The ''Encyclopædia Britannica'' claims: "Many modern scholars also agree that the exodus of Greeks to Italy as a result of this event marked the end of the Middle Ages and the beginning of the Renaissance", although few scholars date the start of the Italian Renaissance this late. History The main role of Byzantine scholars within Renaissance humanism was the teaching of the Greek language to their western counterparts in universities or privately together with the spread of ancient texts. Their forerunners were ...
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Black Death
The Black Death (also known as the Pestilence, the Great Mortality or the Plague) was a bubonic plague pandemic occurring in Western Eurasia and North Africa from 1346 to 1353. It is the most fatal pandemic recorded in human history, causing the deaths of people, peaking in Europe from 1347 to 1351. Bubonic plague is caused by the bacterium ''Yersinia pestis'' spread by fleas, but it can also take a secondary form where it is spread by person-to-person contact via aerosols causing septicaemic or pneumonic plagues. The Black Death was the beginning of the second plague pandemic. The plague created religious, social and economic upheavals, with profound effects on the course of European history. The origin of the Black Death is disputed. The pandemic originated either in Central Asia or East Asia before spreading to Crimea with the Golden Horde army of Jani Beg as he was besieging the Genoese trading port of Kaffa in Crimea (1347). From Crimea, it was most likely carried ...
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Crisis Of The Late Middle Ages
The Crisis of the Late Middle Ages was a series of events in the fourteenth and fifteenth centuries that ended centuries of European stability during the Late Middle Ages. Three major crises led to radical changes in all areas of society: demographic collapse, political instability, and religious upheavals. The Great Famine of 1315–1317 and Black Death of 1347–1351 reduced the population perhaps by half or more as the Medieval Warm Period came to a close and the first century of the Little Ice Age began. It took until 1500 for the European population to regain the levels of 1300. Popular revolts in late-medieval Europe and civil wars between nobles such as the Wars of the Roses were common—with France fighting internally nine times—and there were international conflicts between kingdoms such as France and England in the Hundred Years' War. The unity of the Roman Catholic Church was shattered by the Western Schism. The Holy Roman Empire was also in decline; in the af ...
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Renaissance Of The 12th Century
The Renaissance ( , ) , from , with the same meanings. is a period in European history marking the transition from the Middle Ages to modernity and covering the 15th and 16th centuries, characterized by an effort to revive and surpass ideas and achievements of classical antiquity. It occurred after the Crisis of the Late Middle Ages and was associated with great social change. In addition to the standard periodization, proponents of a "long Renaissance" may put its beginning in the 14th century and its end in the 17th century. The traditional view focuses more on the early modern aspects of the Renaissance and argues that it was a break from the past, but many historians today focus more on its medieval aspects and argue that it was an extension of the Middle Ages. However, the beginnings of the period – the early Renaissance of the 15th century and the Italian Proto-Renaissance from around 1250 or 1300 – overlap considerably with the Late Middle Ages, conventionally dat ...
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