ruveyn wrote:
Fnord wrote:
I would introduce translations of current university maths and science textbooks to the leaders of the Ionian Awakening around 500 B.C.
... Much of modern mathematics goes against "common sense" Common sense was a concept invented by Aristotle. Also the Greek mathematicians did not regard ratios of one measure (say length) being interchangeable with ratios of a different measure (say area or volume). That they did not quite grasp the notion of a ration quantity as being unit free. In our day, the units "cancel out" in a ratio so all ratios are comparable.
... which is exactly why I would chose the Ionian Awakening as the time to introduce these concepts.
Consider the concept of a non-geocentric universe. The notion that the Earth revolves around the Sun had been proposed as early as 270 B.C. by Aristarchus of Samos, yet Galileo was persecuted and prosecuted by the RCC in 1633 A.D. for publishing works that described a heliocentric system when "everybody knew" that the entire universe revolved around the Earth. In 1664, Pope Alexander VII published a list that forbade all previously published books on heliocentrism. It wasn't until 1822 A.D. that Pope Pius VII approved a decree to allow the printing of heliocentric books in Rome.
Granted, the universe does not revolve around our Sun, but Kepler's Laws of Planetary Motion have been so well-proven that our Global Positioning System is based on them.
Where would humanity be if just Kepler's and Newton's Laws had been retained and studied after the Ionian Awakening ended ... Mars, perhaps?
Pure speculation, I know; but this is the PPR forum, after all.
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