The Harmony Learning Community Blog

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CANTOR #4: Diagonal Proof

(January 26, 2016) “COUNTING” THE RATIONALS We began where we left off last week:  how can one list the set of rational (fractions and integers) numbers in a one-to-one correspondence with the naturals (counting) numbers? I gave the students some time to work on it, and everyone came up with a way to do it. (See photos for variations.)1  Everyone…

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