4.6 14th century: History of science, summary, MAP
Max Sinister
Banned
14th century: History of science, summary, MAP!
History of science in the 14th century:
1319: Robert of Oldham discovers Law of exponential growth / compounded interest.
1320: Kamal al-Din Abul Hasan Muhammad Al-Farisi, Persian mathematician and physicist, dies.
1344: Death of Rabbi Levi ben Gershon, who wrote "Book of Numbers" in 1321 dealing with arithmetical operations, including extraction of roots, and "On Sines, Chords and Arcs", which examined trigonometry, in 1344.
1348: Displaced Constantinopolitans help founding a Platonic Academy in Florence. Knowledge of Greek spreads through Italy.
1367: James of Crawley shows that it's easier (and thus, according to Ockham's razor more probable) that Earth moves, instead of the heaven(s).
General state of the art:
Western Europe: Ockham's conciliarism is widespread among intellectuals who wish for a church reform. Realism has lost against Nominalism in philosophy. Kinematics distinguished from dynamics in physics. "The Law of Falling Bodies" documented in Oxford. First ideas about stochastics.
Humanism ideal lives. Artists invented the Central perspective. No printing yet, however. Humanist education lives up - kids may wear nice clothes instead of cowls, there's less corporal punishment and unnecessary praying, and they may play games. The progresses in art and education and the humanism are restricted mostly to Northern Italy, the scientific progress to England. And unfortunately, some of the humanists also read hermetic (ie: esoteric) books. The more extremes tend to a neo-platonistic or even neo-pagan religion (secretly, of course).
Islamic World: Tables of trigonometric functions which are correct to 8 decimal places of accuracy. Symbols in algebra introduced. Value of Pi calculated to 15 decimal places. One scholar calculates a model for the solar system, including elliptical orbits.
India: Kerala School founded by Madhava of Sangamagrama. They make a lot of progresses in Mathematics, among many others:
# Mathematical operations with zero.
# Infinite series expansions of functions.
# Power series.
# Taylor series.
# Maclaurin series.
# Trigonometric series.
# A rule to calculate approximate values of square roots.
China: The breakdown of the united Song state hampered science a lot. After the rebuilding of schools and libraries starts in 1375, however, soon new discoveries are made. Before the breakdown, calculating square roots is discovered.
Summary of the 14th century:
East Asia: China breaks apart, but is reunited under the Hong dynasty. The leader of the steppe people Arik-Buqa plagues North China and Choresm, drives some Siberians to the west.
Muslim World: Choresm falls apart after Shiite revolts, Persia becomes independent. The Rum-Seljuks conquer Syria, Balcans.
Eastern Europe: The Teutonic Order conquers several Russian princedoms. Serbia becomes independent for a short time. Russian schism, antagonists Vladimir and Kiev.
Western and Central Europe: English-French War(s). Rise of Switzerland. Several dynasties competing in the HRE. Scotland-Norway. Reconquista finished.
Rest of the World: America discovered by Danes. Aztecs start to rise.
About the map:
- Everything in black is clerical land: Papal state, Teutonic Order, and many bishopry in the HRE.
- Small states are white.
- The beggar's republics and Bohemia are in the same shade of gray.
- In Italy, colored states are: Savoy, Genoa, Venice, Florence, Naples.
- In Germany, colored states are: Brandenburg, Pomerania, the Swiss confederation, Holland-Flanders, the various Bavarian / Wittelsbach lands
- In Russia, two colored areas stand for states (Novgorod republic in the NW, Smolensk in the west), and the other two for states and their area of influence (Kiev, Chernigov and so on in the South, Vladimir-Suzdal in the East)
The first two centuries since the POD are done! Now let's go on...
History of science in the 14th century:
1319: Robert of Oldham discovers Law of exponential growth / compounded interest.
1320: Kamal al-Din Abul Hasan Muhammad Al-Farisi, Persian mathematician and physicist, dies.
1344: Death of Rabbi Levi ben Gershon, who wrote "Book of Numbers" in 1321 dealing with arithmetical operations, including extraction of roots, and "On Sines, Chords and Arcs", which examined trigonometry, in 1344.
1348: Displaced Constantinopolitans help founding a Platonic Academy in Florence. Knowledge of Greek spreads through Italy.
1367: James of Crawley shows that it's easier (and thus, according to Ockham's razor more probable) that Earth moves, instead of the heaven(s).
General state of the art:
Western Europe: Ockham's conciliarism is widespread among intellectuals who wish for a church reform. Realism has lost against Nominalism in philosophy. Kinematics distinguished from dynamics in physics. "The Law of Falling Bodies" documented in Oxford. First ideas about stochastics.
Humanism ideal lives. Artists invented the Central perspective. No printing yet, however. Humanist education lives up - kids may wear nice clothes instead of cowls, there's less corporal punishment and unnecessary praying, and they may play games. The progresses in art and education and the humanism are restricted mostly to Northern Italy, the scientific progress to England. And unfortunately, some of the humanists also read hermetic (ie: esoteric) books. The more extremes tend to a neo-platonistic or even neo-pagan religion (secretly, of course).
Islamic World: Tables of trigonometric functions which are correct to 8 decimal places of accuracy. Symbols in algebra introduced. Value of Pi calculated to 15 decimal places. One scholar calculates a model for the solar system, including elliptical orbits.
India: Kerala School founded by Madhava of Sangamagrama. They make a lot of progresses in Mathematics, among many others:
# Mathematical operations with zero.
# Infinite series expansions of functions.
# Power series.
# Taylor series.
# Maclaurin series.
# Trigonometric series.
# A rule to calculate approximate values of square roots.
China: The breakdown of the united Song state hampered science a lot. After the rebuilding of schools and libraries starts in 1375, however, soon new discoveries are made. Before the breakdown, calculating square roots is discovered.
Summary of the 14th century:
East Asia: China breaks apart, but is reunited under the Hong dynasty. The leader of the steppe people Arik-Buqa plagues North China and Choresm, drives some Siberians to the west.
Muslim World: Choresm falls apart after Shiite revolts, Persia becomes independent. The Rum-Seljuks conquer Syria, Balcans.
Eastern Europe: The Teutonic Order conquers several Russian princedoms. Serbia becomes independent for a short time. Russian schism, antagonists Vladimir and Kiev.
Western and Central Europe: English-French War(s). Rise of Switzerland. Several dynasties competing in the HRE. Scotland-Norway. Reconquista finished.
Rest of the World: America discovered by Danes. Aztecs start to rise.
About the map:
- Everything in black is clerical land: Papal state, Teutonic Order, and many bishopry in the HRE.
- Small states are white.
- The beggar's republics and Bohemia are in the same shade of gray.
- In Italy, colored states are: Savoy, Genoa, Venice, Florence, Naples.
- In Germany, colored states are: Brandenburg, Pomerania, the Swiss confederation, Holland-Flanders, the various Bavarian / Wittelsbach lands
- In Russia, two colored areas stand for states (Novgorod republic in the NW, Smolensk in the west), and the other two for states and their area of influence (Kiev, Chernigov and so on in the South, Vladimir-Suzdal in the East)
The first two centuries since the POD are done! Now let's go on...