On 26 Nov., 19:22, William Hughes <wpihug...@hotmail.com> wrote: > On Nov 26, 12:24 pm, WM <mueck...@rz.fh-augsburg.de> wrote: > > > Here is another interesting task: Use balls representing the positive > > rationals. The first time fill in one ball. Then fill in always 100 > > balls and remove 100 balls, leaving inside the ball representing the > > smallest of the 101 rationals. > > [at random with any measure that gives a positive probability > to each rational]
Simply take the first, seconde, third ... Centuria according to Cantor's well-ordering of the positive rationals. Then there is no need for considering any probabilities. > > > If you get practical experience, you > > will accomplish every Centuria in half time. So after a short while > > you will have found the smallest positive rational. > > Only in Wolkenmuekenheim. Outside of Wolkenmuekenheim > you will have an empty set.
Besides your assertion, you have arguments too, don't you? In particular you can explain, how the empty set will emerge while throughout the whole time the minimum contents of the vase is 1 ball?