Mathematics, Education, and Machines
Today in discussion section, I listened to Brother Donglin’s report, and it felt wonderfully intriguing; some of my earlier scattered thoughts have become much clearer. What Brother Donglin discussed was the concept of “diagramming” in ancient Greek geometry. He pointed out that the geometrical constructions of the ancient Greeks cannot be understood as “construction” in the Kantian sense: the meaning of diagramming is not to provide some kind of “ontological proof.” Diagramming is undertaken for pedagogical and instructional purposes; the original meaning of “proof” is also a kind of showing, a process by which the teacher displays something to the student. “Geometrical diagramming, geometrical knowledge, and phronesis (practical knowledge, that…
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