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Wow, the real number line to the open interval one is spectacular. I've always been interested in infinity and came up with some proofs of stuff like this duri
by roundsquare 17y ago
Wow, the real number line to the open interval one is spectacular. I've always been interested in infinity and came up with some proofs of stuff like this during college, but this is such a nice proof.
- pmiller2 17y agoI showed nearly that same picture to a class just two weeks ago. (I didn't draw the whole circle or the line segment representing the interval above it -- I just drew a line and a semicircle and said "this (pointing at the semicircle) is the unit interval bent into a semicircle.)" It's a very powerful demonstration, IMO.
- roundsquare 17y agoHow old were the students? What kind of class? I'm asking because I'm curious how approachable the concept/proof is.