Steve Patterson | Skepticism of Euclidean Geometry? @StevePatterson | Uploaded September 2017 | Updated October 2024, 16 hours ago.
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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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.
Check out more at: steve-patterson.com
If you think this content is worth $1, please check out my Patreon page to support the creation of more videos like this:
patreon.com/stevepatterson
Or you can enter Amazon through: goo.gl/ftfFLg
Or, you can support with Bitcoin Cash: qp35pt4qlgskgg05zjuuy84udnnhw4ma7vrn05qjfz
