What was the relationship between the ottoman empire’s power and the rise of the european exploration

Because it was a Muslim Empire bet on Conquest of all non-Muslim lands (especially Christian Europe), it was hostile to trade and/or exploration by Christian Kingdoms and/or principalities. Before the Ottomans, Europe used the Silk Road and the Spice Trade Routes that went through the lands that were later conquered by the Ottomans (Asia Minor) who then blocked all trade and exploration ventures into Asia and/or the Middle East.

This forced European powers to seek alternate routes for commerce and exploration in Asia. The Portuguese were the first, they circumnavigated and explored the African coastline all the way to the southernmost part of Africa and finally made it to India. This allowed them to renew and control the lucrative Spice Trade and further map the unknown world. Spain was engaged in a hegemonic strife with Portugal and thanks to Christopher Columbus, who was seeking an alternate; shorter route to India sailed through the Atlantic and discovered the New World.

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the mandate of heaven or tian ming (chinese: 天命; pinyin: tiānmìng; wade–giles: t'ien-ming) is a chinese political and religious doctrine used since ancient times to justify the rule of the king or emperor of china. according to this belief, heaven (天, tian)—which embodies the natural order and will of the universe—bestows the mandate on a just ruler of china, the "son of heaven" of the "celestial empire". if a ruler was overthrown, this was interpreted as an indication that the ruler was unworthy, and had lost the mandate. it was also a common belief among citizens that natural disasters such as famine and flood were signs of heaven's displeasure with the ruler, so there would often be revolts following major disasters as citizens saw these as signs that the mandate of heaven had been withdrawn.[1]

a brief flow chart describing the dynastic cycles in imperial china on claiming to withdrawing the mandate of heaven

the mandate of heaven does not require a legitimate ruler to be of noble birth, depending instead on the just and able performance of the rulers and their heirs. dynasties such as the han and ming dynasties were founded by men of common origins. the concept is in some ways similar to the european concept of the divine right of kings; however, unlike the european concept, it does not in theory confer an unconditional right to rule, despite this being exactly the case in practicality. the mandate would in theory be a preoccupation in a ruler's lifetime, when he would hold onto the mandate and live according to heavens. intrinsic to the concept of the mandate of heaven was the right of rebellion against an unjust ruler. chinese historians interpreted a successful revolt as evidence that heaven had withdrawn its mandate from the ruler. throughout chinese history, times of poverty and natural disasters were often taken as signs that heaven considered the incumbent ruler unjust and thus in need of replacement. the mandate of heaven was often invoked by philosophers and scholars in china as a way to curtail the abuse of power by the ruler. while each dynasty was not the same, they each had a lineage that passed on the prospective ruler by order of generational descent or their priority of birth. many emperors during the imperial times would optimize to have many sons who could be candidates to fill the position after the current ruler has died. in addition heaven was thought to be of how a ruler's works and performance was, which reflected upon how favorable they would be to heaven.