You have an empty container, and an infinite number of marbles, each numbered with an integer from 1 to infinity.
At the start of the minute, you put marbles 1 - 10 into the container, then remove one of the marbles and throw it away. You do this again after 30 seconds, then again in 15 seconds, and again in 7.5 seconds. You continuosly repeat this process, each time after half as long an interval as the time before, until the minute is over.
Since this means that you repeated the process an infinite number of times, you have "processed" all your marbles.
How many marbles are in the container at the end of the minute if for every repetition (numbered N)
A. You remove the marble
numbered (10 * N)
B. You remove the marble numbered (N)
(In reply to
Respectfully, I disagree with all (save perhaps eric) by FatBoy)
I respectfully disagree with you too....
Why do you say: "At that time the number of marbles in the jar (and those discarded) ceases to be infinite."
It doesn't follow.
You then say later, "once you stop, which you did at the end of the minute you have limited the number of interation and it is no longer infinite". Similarly, I don't follow your line of reasoning. Why is it no longer infinite?
If I draw a circle in one minute, and then stop. Does the ratio of its circumference to its diameter (π) stop having infinite digits (in base 10 representation)? Of course not, and my premise, of course, is silly....
--- SK
re: Respectfully, I disagree with all (save perhaps eric)
