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Opinionated History of Mathematics

Why construct?

Jan 20, 2021 · 1 hr 18 min · 37.5 MB
0:00-1:18:01

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Euclid spends a lot of time in the Elements constructing figures with his ubiquitous ruler and compass. Why did he think this was important? Why did he think this was better than a geometry that has only theorems and no constructions? In fact, constructions protect geometry from foundational problems to which it would otherwise be … Continue reading Why construct?