In the first item on your list you jump from Greek to Islamic and leave out the Romans. I suggest reading The Swerve by Harvard historian Stephen Greenblatt about the rediscovery in 1417 in an obscure German monastery of Lucretius's On the Nature of Things and the major impact it would have during the following centuries on scientific and secular philosophical thinking. It would be good to also note, among many others, the role of late antiquity Latin encyclopedists Cassiodorus and Isidore of Seville, as well as Boethius (philosopher, theologian and translator of much of Aristotle into Latin), in keeping alive some of the spirit of classical knowledge both Greek and Latin. While the majority of classical scientific work in the era of the Roman Empire was done in the Greek language (with the exception of the later-very-influential Naturalis Historia circa 77 AD by Pliny the Elder), this was not necessarily true of work in engineering and other technological fields. The Wikipedia article on Roman technology is more than enough to justify a separate listing for Rome apart from Greece in the listing above. https://en.wikipedia.org/wiki/Ancient_Roman_technologyWhile the Mongols did spread technology, the destruction of Bukhara and the House of Wisdom were pretty bad blows to Islamic intelligentsia that took a while to recover from. There's also a lack of literature during the Northern Jin that may be because of the Mongols.
Personally, here's my list of reasons for the Great Divergence (some of which are oca's points, others which are not):
- The scientific method. Although it's plausible that another method could have risen, a knowledge system (developed jointly by Babylonian, Egyptian, Greek, Islamic, and European scholars) that formalized scientific research really only matured in Europe. Early rationalist schools of thought in China were quashed by the Qin and didn't redevelop in later dynasties.
- Complex financial institutions due to exploration & overseas colonialism. The likes of the Dutch East India Company laid the groundwork for private corporations and investment to fund the costs of research and production during the Industrial Era.
- The Chinese City Wall hypothesis. Partially because of the differences in the watersheds of Europe/the Middle East and China, China ended up building thick, rammed earth city walls that disincentivized the development and adoption of gunpowder siege weapons, and by proxy, gunpowder weaponry (as handheld firearms directly descended from siege weapons).
- Locations of coal deposits. Chinese coal was abundant, but the shift of power & population southwards away from the coal deposits (partially because of the Mongols & Qing) disincentivized their use. European coal was relatively close in proximity to major population centers (like in the British Isles, Rhineland, etc.)
- Colonies allowed the offshoring of land, access to significant natural resources, and a captive market for manufactured goods.
- Political fragmentation did increase competition, and thus provided an incentive for military innovation and technological adoption, although I'm not sure about the idea of intellectuals/merchants having a safe haven. Aside from the aforementioned persecution of Jews, there was also the likes of the persecution of the Huguenots, the Cathars, and intellectuals caught up into religious persecutions/schisms (Bruno, More, Fisher, etc.).
- The failure of other nations to catch up due to a myriad of reasons. Some were because of isolationism (late Qing, Tokugawa Japan, etc.), others because of deindustrialization (India, the Ottoman Empire).
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