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Jul 28, 2012 at 20:30 comment added Vladimir Reshetnikov It was also discussed here: mathoverflow.net/questions/19127/…
Jul 25, 2012 at 13:39 comment added Vladimir Reshetnikov This problem is given in Klee, Victor; Wagon, Stan (1991), "Problem 10 Does the plane contain a dense rational set?", Old and New Unsolved Problems in Plane Geometry and Number Theory, Dolciani mathematical expositions, 11, Cambridge University Press, pp. 132–135, ISBN 978-0-88385-315-3, and attributed to Ulam and Erdős.
Jul 24, 2012 at 18:08 history answered Vladimir Reshetnikov CC BY-SA 3.0