> Enter the reals: > > After seemingly filling the whole number line (or space) they > discover (or invent) the 'number' squareroot of two. It's not on the > line anywhere, there must be spaces (holes) in our number line. To > fill these holes we define them as the spaces strictly between the > rationals and call the reals complete and continuous.
-- Do, as a concession to my poor wits, Lord Darlington, just explain to me what you really mean. I think I had better not, Duchess. Nowadays to be intelligible is to be found out. -- Oscar Wilde, Lady Windermere's Fan