If you're bored...

another math problem:
Can the closed interval [0,1] in R be expressed as the countable union of disjoint closed intervals? (A countable set, by the good definition, means one can write an infinite list of the elements in some order or other; a finite set is not countable. An interval can be a point, of course.) My solution, which I think has no gaps, will appear as a comment soon.

EDIT: Note that this does /not/ allow the solution of just {[0,1]} as that's a finite collection!!