Why do a line, plane and 3D space have the same cardinality?

mprm86 · Apr 20, 2005

Show that they are the same number of points in a line, in a plane and in the space.
I have one more question: Which set has a cardinal number greater than the continuum. Why?

Thanks in advance.

Hurkyl · Apr 20, 2005

Sounds like homework. Have you had any thoughts on it? Know any useful facts about cardinality?

HallsofIvy · Apr 21, 2005

Start by writing out the DEFINITION of "same number"!

Why do a line, plane and 3D space have the same cardinality?

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Why do a line, plane and 3D space have the same cardinality?

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