On 12/7/12, Adam P. Goucher <apgoucher@gmx.com> wrote:
... Hmm, yes. My favourite example of a CH-equivalent problem is this (I was given the problem by Prof. Imre Leader):
"Can we colour the points in R^3 with the colours red, green and blue such that every line parallel to the x-axis contains only finitely many red points, every line parallel to the y-axis contains only finitely many green points, and every line parallel to the z-axis contains only finitely many blue points?"
Well, I'll have to buy this one since nobody else has volunteered --- just how does the answer to this intriguingly elementary question depend on the continuum hypothesis? [I've a feeling that I once knew Imre Leader slightly, a long time ago when we were both postgraduate students; but can no longer recall where or how we met.] Fred Lunnon