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Science in the 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 language and the correct reading of texts.[1][2][3]

Leonardo da Vinci's Vitruvian Man, an example of the blend of art and science during the Renaissance

Marie Boas Hall coined the term Scientific Renaissance to designate the early phase of the Scientific Revolution, 1450–1630. More recently, Peter Dear has argued for a two-phase model of early modern science: a Scientific Renaissance of the 15th and 16th centuries, focused on the restoration of the natural knowledge of the ancients; and a Scientific Revolution of the 17th century, when scientists shifted from recovery to innovation.

Context edit

During and after the Renaissance of the 12th century, Europe experienced an intellectual revitalization, especially with regard to the investigation of the natural world. In the 14th century, however, a series of events that would come to be known as the Crisis of the Late Middle Ages was underway. When the Black Death came, it wiped out so many lives it affected the entire system. It brought a sudden end to the previous period of massive scientific change. The plague killed 25–50% of the people in Europe, especially in the crowded conditions of the towns, where the heart of innovations lay. Recurrences of the plague and other disasters caused a continuing decline of population for a century.

The Renaissance edit

The 14th century saw the beginning of the cultural movement of the Renaissance. By the early 15th century, an international search for ancient manuscripts was underway and would continue unabated until the Fall of Constantinople in 1453, when many Byzantine scholars had to seek refuge in the West, particularly Italy.[4] Likewise, the invention of the printing press was to have great effect on European society: the facilitated dissemination of the printed word democratized learning and allowed a faster propagation of new ideas.

Initially, there were no new developments in physics or astronomy, and the reverence for classical sources further enshrined the Aristotelian and Ptolemaic views of the universe. Renaissance philosophy lost much of its rigor as the rules of logic and deduction were seen as secondary to intuition and emotion. At the same time, Renaissance humanism stressed that nature came to be viewed as an animate spiritual creation that was not governed by laws or mathematics. Only later, when no more manuscripts could be found, did humanists turn from collecting to editing and translating them, and new scientific work began with the work of such figures as Copernicus, Cardano, and Vesalius.

Important developments edit

Alchemy and chemistry edit

 
Diagram of Alchemical Elements

While differing in some respects, alchemy and chemistry often had similar goals during the Renaissance period, and together they are sometimes referred to as chymistry.[5] Alchemy is the study of the transmutation of materials through obscure processes. Although it is often viewed as a pseudoscientific endeavor, many of its practitioners utilized widely accepted scientific theories of their times to formulate hypotheses about the constituents of matter and the ways matter could be changed.[6] One of the main aims of alchemists was to find a method of creating gold and other precious metals from the transmutation of base materials.[6] A common belief of alchemists was that there is an essential substance from which all other substances formed, and that if you could reduce a substance to this original material, you could then construct it into another substance, like lead to gold.[5] Medieval alchemists worked with two main elements or "principles", sulphur and mercury.[5]

Paracelsus was a chymist and physician of the Renaissance period who believed that, in addition to sulphur and mercury, salt served as one of the primary alchemical principles from which everything else was made.[7] Paracelsus was also instrumental in helping to put chemical practices to practical medicinal use through a recognition that the body operates through processes which may be seen as chemical in nature.[7] These lines of thinking directly conflicted with many long-held traditional beliefs, such as those popularized by Aristotle; however, Paracelsus was insistent that questioning principles of nature was essential to continue the general growth of knowledge.[7]

Despite its frequent basis in what may be considered scientific practices by modern standards, numerous factors caused chymistry as a discipline to remain separate from general academia until near the end of the Renaissance, when it finally began appearing as a portion of some university education.[5][8]: 104–115  The commercial nature of chymistry at the time, along with the lack of classical basis for the practice, were some of the contributing factors which led to the general view of the discipline as a craft rather than a respectable academic discipline.[5]

Astronomy edit

 
Pages from 1550 Annotazione on Sacrobosco's De sphaera mundi, showing the Ptolemaic system

The astronomy of the late Middle Ages was based on the geocentric model described by Claudius Ptolemy in antiquity. Probably very few practicing astronomers or astrologers actually read Ptolemy's Almagest, which had been translated into Latin by Gerard of Cremona in the 12th century. Instead they relied on introductions to the Ptolemaic system such as the De sphaera mundi of Johannes de Sacrobosco and the genre of textbooks known as Theorica planetarum. For the task of predicting planetary motions they turned to the Alfonsine tables, a set of astronomical tables based on the Almagest models but incorporating some later modifications, mainly the trepidation model attributed to Thabit ibn Qurra. Contrary to popular belief, astronomers of the Middle Ages and Renaissance did not resort to "epicycles on epicycles" in order to correct the original Ptolemaic models—until one comes to Copernicus himself.

Sometime around 1450, mathematician Georg Purbach (1423–1461) began a series of lectures on astronomy at the University of Vienna. Regiomontanus (1436–1476), who was then one of his students, collected his notes on the lecture and later published them as Theoricae novae planetarum in the 1470s. This "New Theorica" replaced the older theorica as the textbook of advanced astronomy. Purbach also began to prepare a summary and commentary on the Almagest. He died after completing only six books, however, and Regiomontanus continued the task, consulting a Greek manuscript brought from Constantinople by Cardinal Bessarion. When it was published in 1496, the Epitome of the Almagest made the highest levels of Ptolemaic astronomy widely accessible to many European astronomers for the first time.

 
Nicolaus Copernicus

The last major event in Renaissance astronomy is the work of Nicolaus Copernicus (1473–1543). He was among the first generation of astronomers to be trained with the Theoricae novae and the Epitome. Shortly before 1514 he began to revive Aristarchus's idea that the Earth revolves around the Sun. He spent the rest of his life attempting a mathematical proof of heliocentrism. When De revolutionibus orbium coelestium was finally published in 1543, Copernicus was on his deathbed. A comparison of his work with the Almagest shows that Copernicus was in many ways a Renaissance scientist rather than a revolutionary, because he followed Ptolemy's methods and even his order of presentation. Not until the works of Johannes Kepler (1571–1630) and Galileo Galilei (1564–1642) was Ptolemy's manner of doing astronomy superseded. The use of more advanced tables and mathematics would provide the impetus for the establishment of the Gregorian calendar in 1582 (primarily to reform the calculation of the date of Easter), replacing the Julian calendar, which had several errors.[8]: 69–72 

Mathematics edit

 
Archimedes' proofs of the area of a parabolic segment in Quadrature of the Parabola inspired work on quadratures and cubatures in the 15th and 16th centuries.[9]

The accomplishments of Greek mathematicians survived throughout Late Antiquity and the Middle Ages through a long and indirect history. Much of the work of Euclid, Archimedes, and Apollonius, along with later authors such as Hero and Pappus, were copied and studied in both Byzantine culture and in Islamic centers of learning. Translations of these works began already in the 12th century, with the work of translators in Spain and Sicily, working mostly from Arabic and Greek sources into Latin. Two of the most prolific were Gerard of Cremona and William of Moerbeke.

The greatest of all translation efforts, however, took place in the 15th and 16th centuries in Italy, as attested by the numerous manuscripts dating from this period currently found in European libraries. Virtually all leading mathematicians of the era were obsessed with the need for restoring the mathematical works of the ancients. Not only did humanists assist mathematicians with the retrieval of Greek manuscripts, they also took an active role in translating these work into Latin, often commissioned by religious leaders such as Nicholas V and Cardinal Bessarion.[10][11]

Some of the leading figures in this effort include Regiomontanus, who made a copy of the Latin Archimedes and had a program for printing mathematical works; Commandino (1509–1575), who likewise produced an edition of Archimedes, as well as editions of works by Euclid, Hero, and Pappus; and Maurolyco (1494–1575), who not only translated the work of ancient mathematicians but added much of his own work to these. Their translations ensured that the next generation of mathematicians would be in possession of techniques far in advance of what it was generally available during the Middle Ages.[1][3]

It must be borne in mind that the mathematical output of the 15th and 16th centuries was not exclusively limited to the works of the ancient Greeks. Some mathematicians, such as Tartaglia and Luca Paccioli, welcomed and expanded on the medieval traditions of both Islamic scholars and people like Jordanus and Fibonnacci.[12][13] Giordano Bruno was also one to critique the works of people like Aristotle, whom he believed to have a flawed logic and developed a mathematical doctrine for the computation of partial physics, with Bruno attempting to transform theories of nature.[14]

Physics edit

The progress being made in math was complemented by advancements in physics, with people like Galileo attempting to bridge the gap between the two fields and question Aristotelian ideas.[15] The revived invertigation of physics opened up many opportunities in subfields like mechanics, optics, navigation, and cartography.[8]: 79–89 

Mechanical theories had originated with the Greeks, especially Aristotle and Archimedes.[8]: 79–82  Mechanics and philosophy had been related disciplines in ancient Greece, and only in the Renaissance did the two subjects begin to split.[8]: 79–82  A lot of the work of developing new mechanical ideas and theories was carried out by Italians such as Rafael Bombelli, though the Fleming Simon Stevin also provided many ideas.[8]: 79–82  Galileo also contributed to the advancement of this field with a treatise on mechanics in 1593,[15] helping to develop ideas on relativity, freely falling bodies, and accelerated linear motion,[16] though he lacked the means to properly communicate his findings at the time.[15] In June 1609, Galileo's interests shifted to his telescopic investigations after having been close to revolutionizing the science of mechanics.[15]

Navigation was an important topic of the time, and many innovations were made that, with the introduction of better ships and applications of the compass, would later lead to geographical discoveries.[8]: 89–91  The calculations involved in navigation proved to be difficult, with the technology of the time unable to accuately predict weather or determine one's geographic position. Determining one's longitude proved especially challenging, since one's local time need to be calculated on the basis of an astonomical observation.[8]: 89–91  One theory that was tested was to record the time of an eclipse and use Regiomontanus' Ephemerides to compare it with Nuremberg time or Zacuto's Almanach perpetuum to compare it with Salamanca time, though the margin of error in such calculations was unacceptably great (around 25.5 degrees).[8]: 89–91  Until longitude could be accurately determined, navigators had to rely on dead reckoning, with its many uncertainties.[8]: 89–91 

Medicine edit

With the Renaissance came an increase in experimental investigation, principally in the field of dissection and body examination, thus advancing our knowledge of human anatomy.[17] The development of modern neurology began in the 16th century with Andreas Vesalius, who described the anatomy of the brain and other organs; he had little knowledge of the brain's function, thinking that it resided mainly in the ventricles. Understanding of medical sciences and diagnosis improved, but with little direct benefit to health care. Few effective drugs existed, beyond opium and quinine. William Harvey provided a refined and complete description of the circulatory system. The most useful tomes in medicine, used both by students and expert physicians, were materiae medicae and pharmacopoeiae.

Geography and the New World edit

 
Map of early explorers' voyages

In the history of geography, the key classical text was the Geographia of Claudius Ptolemy (2nd century). It was translated into Latin in the 15th century by Jacopo d'Angelo.[18] It was widely read in manuscript and went through many print editions after it was first printed in 1475. Regiomontanus worked on preparing an edition for print prior to his death; his manuscripts were consulted by later mathematicians in Nuremberg. Ptolemy's Geographia became the basis for most maps made in Europe throughout the 15th century.[18] Even as new knowledge began to replace the content of old maps, the rediscovery of Ptolemy's mapping system, including the use of coordinates and projection, helped to redefine the overall field of cartography as a scientific pursuit rather than an artistic one.[18]

The information provided by Ptolemy, as well as Pliny the Elder and other classical sources, was soon seen to be in contradiction to the lands explored in the Age of Discovery.[18] The new discoveries revealed shortcomings in classical knowledge; they also opened European imagination to new possibilities. In particular, Christopher Columbus' voyage to the New World in 1492 helped set the tone for what would soon after become a wave of European expansion.[19] Thomas More's Utopia was inspired partly by the discovery of the New World. Most maps developed prior to this period grossly underestimated the extent of the lands separating Europe from India on a westward route through the New World; however, through contributions of explorers such as Ferdinand Magellan, efforts were made to create more accurate maps during this period.[20]

See also edit

Notes edit

  1. ^ a b Rose, Paul Lawrence (1973). "Humanist Culture and Renaissance Mathematics: The Italian Libraries of the Quattrocento". Studies in the Renaissance. 20: 46–105. doi:10.2307/2857013. ISSN 0081-8658. JSTOR 2857013.
  2. ^ Anglin, W. S.; Lambek, J. (1995), Anglin, W. S.; Lambek, J. (eds.), "Mathematics in the Renaissance", The Heritage of Thales, Undergraduate Texts in Mathematics, New York, NY: Springer, pp. 125–131, doi:10.1007/978-1-4612-0803-7_25, ISBN 978-1-4612-0803-7, retrieved 2021-04-09
  3. ^ a b Jayawardene, S. A. (June 1978). "The Italian Renaissance of Mathematics: Studies on Humanists and Mathematicians from Petrarch to Galileo. Paul Lawrence Rose". Isis. 69 (2): 298–300. doi:10.1086/352043. ISSN 0021-1753.
  4. ^ Hall, Marie Boas (1994-01-01). The Scientific Renaissance 1450-1630. Courier Corporation. ISBN 978-0-486-28115-5.
  5. ^ a b c d e Principe, Lawrence (2011). The Scientific Revolution: A Very Short Introduction. Very Short Introductions (1st ed.). Oxford: Oxford University Press. ISBN 978-0-19-956741-6.
  6. ^ a b Lindberg, David C. (2007). The Beginnings of Western Science: The European Scientific Tradition in Philosophical, Religious, and Institutional Context, Prehistory to A.D. 1450 (2nd ed.). Chicago: University of Chicago Press. pp. 290–294. ISBN 978-0-226-48205-7.
  7. ^ a b c Moran, Bruce T. (2019). Paracelsus: An Alchemical Life. Renaissance lives. London, UK: Reaktion Books. ISBN 978-1-78914-144-3.
  8. ^ a b c d e f g h i j Sarton, George (1967). Six Wings: Men of Science in the Renaissance. Bloomington: Indiana University Press.
  9. ^ Høyrup, Jens (2019), "Archimedes: Reception in the Renaissance", in Sgarbi, Marco (ed.), Encyclopedia of Renaissance Philosophy, Cham: Springer International Publishing, pp. 1–7, doi:10.1007/978-3-319-02848-4_892-1, ISBN 978-3-319-02848-4, S2CID 212949014, retrieved 2021-04-23
  10. ^ "Mathematics - Rome Reborn: The Vatican Library & Renaissance Culture | Exhibitions - Library of Congress". www.loc.gov. 1993-01-08. Retrieved 2021-04-09.
  11. ^ Gouwens, Kenneth (1996-09-22). "Rome Reborn: The Vatican Library and Renaissance Culture". Renaissance Quarterly. 49 (3): 618–620. doi:10.2307/2863370. JSTOR 2863370. S2CID 191382178.
  12. ^ Malet, Antoni (2006-02-01). "Renaissance notions of number and magnitude". Historia Mathematica. 33 (1): 63–81. doi:10.1016/j.hm.2004.11.011. ISSN 0315-0860.
  13. ^ Høyrup, Jens (2003). Practitioners – school teachers – "mathematicians": The divisions of pre-Modern mathematics and its actors. CiteSeerX 10.1.1.529.862.
  14. ^ Gatti, Hilary (1999). Giordano Bruno and Renaissance Science. Cornell University. p. 144. ISBN 0-8014-3529-3.
  15. ^ a b c d Singleton, Charles Southward, ed. (1970). Art, Science, and History in the Renaissance. The Johns Hopkins Humanities Seminars (2. printing ed.). Baltimore, Md.: Johns Hopkins Press. pp. 310–318. ISBN 978-0-8018-0602-5.
  16. ^ Asim, Gangopadhyaya (2017). "Galileo's Contribution to Mechanics". Loyola eCommons: 90–94.
  17. ^ Siraisi, N. G. (2012). "Medicine, 1450–1620, and the History of Science". Isis. 103 (3): 491–514. doi:10.1086/667970. PMID 23286188. S2CID 6954963.
  18. ^ a b c d Hunt, Arthur (2000). "2000 Years of Map Making". Geography. 85 (1): 3–14. ISSN 0016-7487. JSTOR 40573370.
  19. ^ Cortada, James W. (1974). "Who Was Christopher Columbus?". Renaissance and Reformation / Renaissance et Réforme. 10 (2): 99–102. doi:10.33137/rr.v10i2.13735. ISSN 0034-429X. JSTOR 43464886.
  20. ^ Heawood, Edward (1921). "The World Map Before and After Magellan's Voyage". The Geographical Journal. 57 (6): 431–442. Bibcode:1921GeogJ..57..431H. doi:10.2307/1780791. ISSN 0016-7398. JSTOR 1780791.

References edit

  • Dear, Peter. Revolutionizing the Sciences: European Knowledge and Its Ambitions, 1500–1700. Princeton: Princeton University Press, 2001.
  • Debus, Allen G. Man and Nature in the Renaissance. Cambridge: Cambridge University Press, 1978.
  • Grafton, Anthony, et al. New Worlds, Ancient Texts: The Power of Tradition and the Shock of Discovery. Cambridge: Belknap Press of Harvard University Press, 1992.
  • Hall, Marie Boas. The Scientific Renaissance, 1450–1630. New York: Dover Publications, 1962, 1994.

External links edit

  • Renaissance science and technology at Britannica.com

science, renaissance, during, renaissance, great, advances, occurred, geography, astronomy, chemistry, physics, mathematics, manufacturing, anatomy, engineering, collection, ancient, scientific, texts, began, earnest, start, 15th, century, continued, fall, con. 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 language and the correct reading of texts 1 2 3 Leonardo da Vinci s Vitruvian Man an example of the blend of art and science during the RenaissanceMarie Boas Hall coined the term Scientific Renaissance to designate the early phase of the Scientific Revolution 1450 1630 More recently Peter Dear has argued for a two phase model of early modern science a Scientific Renaissance of the 15th and 16th centuries focused on the restoration of the natural knowledge of the ancients and a Scientific Revolution of the 17th century when scientists shifted from recovery to innovation Contents 1 Context 2 The Renaissance 3 Important developments 3 1 Alchemy and chemistry 3 2 Astronomy 3 3 Mathematics 3 4 Physics 3 5 Medicine 3 6 Geography and the New World 4 See also 5 Notes 6 References 7 External linksContext editFurther information European science in the Middle Ages and List of medieval European scientists During and after the Renaissance of the 12th century Europe experienced an intellectual revitalization especially with regard to the investigation of the natural world In the 14th century however a series of events that would come to be known as the Crisis of the Late Middle Ages was underway When the Black Death came it wiped out so many lives it affected the entire system It brought a sudden end to the previous period of massive scientific change The plague killed 25 50 of the people in Europe especially in the crowded conditions of the towns where the heart of innovations lay Recurrences of the plague and other disasters caused a continuing decline of population for a century The Renaissance editThe 14th century saw the beginning of the cultural movement of the Renaissance By the early 15th century an international search for ancient manuscripts was underway and would continue unabated until the Fall of Constantinople in 1453 when many Byzantine scholars had to seek refuge in the West particularly Italy 4 Likewise the invention of the printing press was to have great effect on European society the facilitated dissemination of the printed word democratized learning and allowed a faster propagation of new ideas Initially there were no new developments in physics or astronomy and the reverence for classical sources further enshrined the Aristotelian and Ptolemaic views of the universe Renaissance philosophy lost much of its rigor as the rules of logic and deduction were seen as secondary to intuition and emotion At the same time Renaissance humanism stressed that nature came to be viewed as an animate spiritual creation that was not governed by laws or mathematics Only later when no more manuscripts could be found did humanists turn from collecting to editing and translating them and new scientific work began with the work of such figures as Copernicus Cardano and Vesalius Important developments editAlchemy and chemistry edit nbsp Diagram of Alchemical ElementsWhile differing in some respects alchemy and chemistry often had similar goals during the Renaissance period and together they are sometimes referred to as chymistry 5 Alchemy is the study of the transmutation of materials through obscure processes Although it is often viewed as a pseudoscientific endeavor many of its practitioners utilized widely accepted scientific theories of their times to formulate hypotheses about the constituents of matter and the ways matter could be changed 6 One of the main aims of alchemists was to find a method of creating gold and other precious metals from the transmutation of base materials 6 A common belief of alchemists was that there is an essential substance from which all other substances formed and that if you could reduce a substance to this original material you could then construct it into another substance like lead to gold 5 Medieval alchemists worked with two main elements or principles sulphur and mercury 5 Paracelsus was a chymist and physician of the Renaissance period who believed that in addition to sulphur and mercury salt served as one of the primary alchemical principles from which everything else was made 7 Paracelsus was also instrumental in helping to put chemical practices to practical medicinal use through a recognition that the body operates through processes which may be seen as chemical in nature 7 These lines of thinking directly conflicted with many long held traditional beliefs such as those popularized by Aristotle however Paracelsus was insistent that questioning principles of nature was essential to continue the general growth of knowledge 7 Despite its frequent basis in what may be considered scientific practices by modern standards numerous factors caused chymistry as a discipline to remain separate from general academia until near the end of the Renaissance when it finally began appearing as a portion of some university education 5 8 104 115 The commercial nature of chymistry at the time along with the lack of classical basis for the practice were some of the contributing factors which led to the general view of the discipline as a craft rather than a respectable academic discipline 5 Astronomy edit nbsp Pages from 1550 Annotazione on Sacrobosco s De sphaera mundi showing the Ptolemaic systemThe astronomy of the late Middle Ages was based on the geocentric model described by Claudius Ptolemy in antiquity Probably very few practicing astronomers or astrologers actually read Ptolemy s Almagest which had been translated into Latin by Gerard of Cremona in the 12th century Instead they relied on introductions to the Ptolemaic system such as the De sphaera mundi of Johannes de Sacrobosco and the genre of textbooks known as Theorica planetarum For the task of predicting planetary motions they turned to the Alfonsine tables a set of astronomical tables based on the Almagest models but incorporating some later modifications mainly the trepidation model attributed to Thabit ibn Qurra Contrary to popular belief astronomers of the Middle Ages and Renaissance did not resort to epicycles on epicycles in order to correct the original Ptolemaic models until one comes to Copernicus himself Sometime around 1450 mathematician Georg Purbach 1423 1461 began a series of lectures on astronomy at the University of Vienna Regiomontanus 1436 1476 who was then one of his students collected his notes on the lecture and later published them as Theoricae novae planetarum in the 1470s This New Theorica replaced the older theorica as the textbook of advanced astronomy Purbach also began to prepare a summary and commentary on the Almagest He died after completing only six books however and Regiomontanus continued the task consulting a Greek manuscript brought from Constantinople by Cardinal Bessarion When it was published in 1496 the Epitome of the Almagest made the highest levels of Ptolemaic astronomy widely accessible to many European astronomers for the first time nbsp Nicolaus CopernicusThe last major event in Renaissance astronomy is the work of Nicolaus Copernicus 1473 1543 He was among the first generation of astronomers to be trained with the Theoricae novae and the Epitome Shortly before 1514 he began to revive Aristarchus s idea that the Earth revolves around the Sun He spent the rest of his life attempting a mathematical proof of heliocentrism When De revolutionibus orbium coelestium was finally published in 1543 Copernicus was on his deathbed A comparison of his work with the Almagest shows that Copernicus was in many ways a Renaissance scientist rather than a revolutionary because he followed Ptolemy s methods and even his order of presentation Not until the works of Johannes Kepler 1571 1630 and Galileo Galilei 1564 1642 was Ptolemy s manner of doing astronomy superseded The use of more advanced tables and mathematics would provide the impetus for the establishment of the Gregorian calendar in 1582 primarily to reform the calculation of the date of Easter replacing the Julian calendar which had several errors 8 69 72 Mathematics edit Main article Greek mathematics nbsp Archimedes proofs of the area of a parabolic segment in Quadrature of the Parabola inspired work on quadratures and cubatures in the 15th and 16th centuries 9 The accomplishments of Greek mathematicians survived throughout Late Antiquity and the Middle Ages through a long and indirect history Much of the work of Euclid Archimedes and Apollonius along with later authors such as Hero and Pappus were copied and studied in both Byzantine culture and in Islamic centers of learning Translations of these works began already in the 12th century with the work of translators in Spain and Sicily working mostly from Arabic and Greek sources into Latin Two of the most prolific were Gerard of Cremona and William of Moerbeke The greatest of all translation efforts however took place in the 15th and 16th centuries in Italy as attested by the numerous manuscripts dating from this period currently found in European libraries Virtually all leading mathematicians of the era were obsessed with the need for restoring the mathematical works of the ancients Not only did humanists assist mathematicians with the retrieval of Greek manuscripts they also took an active role in translating these work into Latin often commissioned by religious leaders such as Nicholas V and Cardinal Bessarion 10 11 Some of the leading figures in this effort include Regiomontanus who made a copy of the Latin Archimedes and had a program for printing mathematical works Commandino 1509 1575 who likewise produced an edition of Archimedes as well as editions of works by Euclid Hero and Pappus and Maurolyco 1494 1575 who not only translated the work of ancient mathematicians but added much of his own work to these Their translations ensured that the next generation of mathematicians would be in possession of techniques far in advance of what it was generally available during the Middle Ages 1 3 It must be borne in mind that the mathematical output of the 15th and 16th centuries was not exclusively limited to the works of the ancient Greeks Some mathematicians such as Tartaglia and Luca Paccioli welcomed and expanded on the medieval traditions of both Islamic scholars and people like Jordanus and Fibonnacci 12 13 Giordano Bruno was also one to critique the works of people like Aristotle whom he believed to have a flawed logic and developed a mathematical doctrine for the computation of partial physics with Bruno attempting to transform theories of nature 14 Physics edit The progress being made in math was complemented by advancements in physics with people like Galileo attempting to bridge the gap between the two fields and question Aristotelian ideas 15 The revived invertigation of physics opened up many opportunities in subfields like mechanics optics navigation and cartography 8 79 89 Mechanical theories had originated with the Greeks especially Aristotle and Archimedes 8 79 82 Mechanics and philosophy had been related disciplines in ancient Greece and only in the Renaissance did the two subjects begin to split 8 79 82 A lot of the work of developing new mechanical ideas and theories was carried out by Italians such as Rafael Bombelli though the Fleming Simon Stevin also provided many ideas 8 79 82 Galileo also contributed to the advancement of this field with a treatise on mechanics in 1593 15 helping to develop ideas on relativity freely falling bodies and accelerated linear motion 16 though he lacked the means to properly communicate his findings at the time 15 In June 1609 Galileo s interests shifted to his telescopic investigations after having been close to revolutionizing the science of mechanics 15 Navigation was an important topic of the time and many innovations were made that with the introduction of better ships and applications of the compass would later lead to geographical discoveries 8 89 91 The calculations involved in navigation proved to be difficult with the technology of the time unable to accuately predict weather or determine one s geographic position Determining one s longitude proved especially challenging since one s local time need to be calculated on the basis of an astonomical observation 8 89 91 One theory that was tested was to record the time of an eclipse and use Regiomontanus Ephemerides to compare it with Nuremberg time or Zacuto s Almanach perpetuum to compare it with Salamanca time though the margin of error in such calculations was unacceptably great around 25 5 degrees 8 89 91 Until longitude could be accurately determined navigators had to rely on dead reckoning with its many uncertainties 8 89 91 Medicine edit Main article Medical Renaissance With the Renaissance came an increase in experimental investigation principally in the field of dissection and body examination thus advancing our knowledge of human anatomy 17 The development of modern neurology began in the 16th century with Andreas Vesalius who described the anatomy of the brain and other organs he had little knowledge of the brain s function thinking that it resided mainly in the ventricles Understanding of medical sciences and diagnosis improved but with little direct benefit to health care Few effective drugs existed beyond opium and quinine William Harvey provided a refined and complete description of the circulatory system The most useful tomes in medicine used both by students and expert physicians were materiae medicae and pharmacopoeiae Geography and the New World edit nbsp Map of early explorers voyagesIn the history of geography the key classical text was the Geographia of Claudius Ptolemy 2nd century It was translated into Latin in the 15th century by Jacopo d Angelo 18 It was widely read in manuscript and went through many print editions after it was first printed in 1475 Regiomontanus worked on preparing an edition for print prior to his death his manuscripts were consulted by later mathematicians in Nuremberg Ptolemy s Geographia became the basis for most maps made in Europe throughout the 15th century 18 Even as new knowledge began to replace the content of old maps the rediscovery of Ptolemy s mapping system including the use of coordinates and projection helped to redefine the overall field of cartography as a scientific pursuit rather than an artistic one 18 The information provided by Ptolemy as well as Pliny the Elder and other classical sources was soon seen to be in contradiction to the lands explored in the Age of Discovery 18 The new discoveries revealed shortcomings in classical knowledge they also opened European imagination to new possibilities In particular Christopher Columbus voyage to the New World in 1492 helped set the tone for what would soon after become a wave of European expansion 19 Thomas More s Utopia was inspired partly by the discovery of the New World Most maps developed prior to this period grossly underestimated the extent of the lands separating Europe from India on a westward route through the New World however through contributions of explorers such as Ferdinand Magellan efforts were made to create more accurate maps during this period 20 See also editContinuity thesis The Copernican Question Renaissance magic Renaissance technologyNotes edit a b Rose Paul Lawrence 1973 Humanist Culture and Renaissance Mathematics The Italian Libraries of the Quattrocento Studies in the Renaissance 20 46 105 doi 10 2307 2857013 ISSN 0081 8658 JSTOR 2857013 Anglin W S Lambek J 1995 Anglin W S Lambek J eds Mathematics in the Renaissance The Heritage of Thales Undergraduate Texts in Mathematics New York NY Springer pp 125 131 doi 10 1007 978 1 4612 0803 7 25 ISBN 978 1 4612 0803 7 retrieved 2021 04 09 a b Jayawardene S A June 1978 The Italian Renaissance of Mathematics Studies on Humanists and Mathematicians from Petrarch to Galileo Paul Lawrence Rose Isis 69 2 298 300 doi 10 1086 352043 ISSN 0021 1753 Hall Marie Boas 1994 01 01 The Scientific Renaissance 1450 1630 Courier Corporation ISBN 978 0 486 28115 5 a b c d e Principe Lawrence 2011 The Scientific Revolution A Very Short Introduction Very Short Introductions 1st ed Oxford Oxford University Press ISBN 978 0 19 956741 6 a b Lindberg David C 2007 The Beginnings of Western Science The European Scientific Tradition in Philosophical Religious and Institutional Context Prehistory to A D 1450 2nd ed Chicago University of Chicago Press pp 290 294 ISBN 978 0 226 48205 7 a b c Moran Bruce T 2019 Paracelsus An Alchemical Life Renaissance lives London UK Reaktion Books ISBN 978 1 78914 144 3 a b c d e f g h i j Sarton George 1967 Six Wings Men of Science in the Renaissance Bloomington Indiana University Press Hoyrup Jens 2019 Archimedes Reception in the Renaissance in Sgarbi Marco ed Encyclopedia of Renaissance Philosophy Cham Springer International Publishing pp 1 7 doi 10 1007 978 3 319 02848 4 892 1 ISBN 978 3 319 02848 4 S2CID 212949014 retrieved 2021 04 23 Mathematics Rome Reborn The Vatican Library amp Renaissance Culture Exhibitions Library of Congress www loc gov 1993 01 08 Retrieved 2021 04 09 Gouwens Kenneth 1996 09 22 Rome Reborn The Vatican Library and Renaissance Culture Renaissance Quarterly 49 3 618 620 doi 10 2307 2863370 JSTOR 2863370 S2CID 191382178 Malet Antoni 2006 02 01 Renaissance notions of number and magnitude Historia Mathematica 33 1 63 81 doi 10 1016 j hm 2004 11 011 ISSN 0315 0860 Hoyrup Jens 2003 Practitioners school teachers mathematicians The divisions of pre Modern mathematics and its actors CiteSeerX 10 1 1 529 862 Gatti Hilary 1999 Giordano Bruno and Renaissance Science Cornell University p 144 ISBN 0 8014 3529 3 a b c d Singleton Charles Southward ed 1970 Art Science and History in the Renaissance The Johns Hopkins Humanities Seminars 2 printing ed Baltimore Md Johns Hopkins Press pp 310 318 ISBN 978 0 8018 0602 5 Asim Gangopadhyaya 2017 Galileo s Contribution to Mechanics Loyola eCommons 90 94 Siraisi N G 2012 Medicine 1450 1620 and the History of Science Isis 103 3 491 514 doi 10 1086 667970 PMID 23286188 S2CID 6954963 a b c d Hunt Arthur 2000 2000 Years of Map Making Geography 85 1 3 14 ISSN 0016 7487 JSTOR 40573370 Cortada James W 1974 Who Was Christopher Columbus Renaissance and Reformation Renaissance et Reforme 10 2 99 102 doi 10 33137 rr v10i2 13735 ISSN 0034 429X JSTOR 43464886 Heawood Edward 1921 The World Map Before and After Magellan s Voyage The Geographical Journal 57 6 431 442 Bibcode 1921GeogJ 57 431H doi 10 2307 1780791 ISSN 0016 7398 JSTOR 1780791 References editDear Peter Revolutionizing the Sciences European Knowledge and Its Ambitions 1500 1700 Princeton Princeton University Press 2001 Debus Allen G Man and Nature in the Renaissance Cambridge Cambridge University Press 1978 Grafton Anthony et al New Worlds Ancient Texts The Power of Tradition and the Shock of Discovery Cambridge Belknap Press of Harvard University Press 1992 Hall Marie Boas The Scientific Renaissance 1450 1630 New York Dover Publications 1962 1994 External links editRenaissance science and technology at Britannica com Retrieved from https en wikipedia org w index php title Science in the Renaissance amp oldid 1206975385, wikipedia, wiki, book, books, library,

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