Skepticism of Euclidean Geometry?

Euclidean geometry is taught as if it's a settled, logically-certain area of knowledge. However, few people take the time to examine the theory carefully. It turns out, there's plenty of room for skepticism about the fundamental axioms of Euclidean geometry. If the definitions of "points" and "lines" are dubious - or if space is not infinitely divisible - then the theory collapses on itself.

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