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EPISODE · Jan 20, 2021 · 1H 18M

Why construct?

from Intellectual Mathematics · host Intellectual Mathematics

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?

Episode metadata supplied by the publisher feed · Published Jan 20, 2021

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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 susceptible, such as inconsistencies, hidden assumptions, verbal logic fallacies, and diagrammatic fallacies.

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Why construct?

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This episode was published on January 20, 2021.

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