12 Nov
2011
12 Nov
'11
8:55 p.m.
On 11/12/2011 10:12 PM, Warren Smith wrote:
Can we find a "constructive" way to partition the reals into two congruent dense subsets -- i.e. so it is somehow "algorithmic" to tell which set a given real is in?
For each integer n, color the rationals in the interval [2n, 2n + 1) red and color the irrationals blue, then use the reverse coloring in the interval [2n + 1, 2n + 2). -- Fred W. Helenius fredh@ix.netcom.com