Steve Patterson | Do Geometric Points Actually Exist? @StevePatterson | Uploaded September 2017 | Updated October 2024, 1 day ago.
The fundamental object in Euclidean geometry is the "point," but it's unclear exactly what a point is. Our intuitive notions of points don't work within Euclidean geometry, so some thinkers have posited different definitions. Some mathematicians treat "points" as pairs of numbers - coordinates in a Cartesian plane. But is this correct? Is geometry about numbers, or is it about objects that take up space?
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The fundamental object in Euclidean geometry is the "point," but it's unclear exactly what a point is. Our intuitive notions of points don't work within Euclidean geometry, so some thinkers have posited different definitions. Some mathematicians treat "points" as pairs of numbers - coordinates in a Cartesian plane. But is this correct? Is geometry about numbers, or is it about objects that take up space?
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
