Re: [math-fun] more densities

Gary McGuire wrote:

A puzzle on natural density appeared in the Fall 2004 newsletter of MSRI:

Find two sets of natural density 1/2 whose intersection does not have a natural density (i.e. the limit does not exist).

Using the logic of the recent example ("primes starting with a 1"), this isn't hard. I'm not sure if it makes the problem easier or harder to add more conditions -- eg, require one of the two be the set of even numbers. --Michael Kleber -- It is very dark and after 2000. If you continue you are likely to be eaten by a bleen.