I have a bunch of fireworks, but I don't think I'm gonna have any time to shoot them off this year. Silly job.
Maybe I'll sit out in the work parking lot firing bottle rockets at the Interstate that goes by our building.
Maybe I'll sit out in the work parking lot firing bottle rockets at the Interstate that goes by our building.
For the first part, there is an infinite amount in the previously empty bucket, and the other bucket is now empty. (Any number you can name has already been put into the other bucket because the action was performed an infinite amount of times)
For the second part, both buckets have an infinite amount of balls. (One has 2,3,4,6,7,8... to infinity, the other has 1,5,10,15,20 to infinity)
When I was given the problem, it was to demonstrate that infinity isn't some static concept - there are several rates and sizes of infinity. And I actually prefer to think of the weirdness of infinity and nothingness while tripping. It makes me giggle a lot.
And I hope you were able to have fun with your fireworks yesterday! The day was made for irresponsible pyromania, after all.