A traveller starts out from the Earth's equator, heading exactly northeast. Undeterred by mountains, oceans and political boundaries, he continues on a northeasterly heading until he can go no further.
Where does he end up?
How far did he go?
How many times did he circumnavigate the earth? (For these purposes, this means travel through 360 degrees of longitude.)
(In reply to
re(5): Doesn't matter. by Cheradenine)
There's only a finite amount of "north" that the traveller can traverse. Namely, 6000 miles. I don't think that it has been shown that the traveller will never reach the pole, though he may be spinning infinitely fast as he does it. Again, I cite Xeno's Paradox. Just because the traveller must travel through each line of longitude an infinite number of times does not change the fact that he may still reach the pole.
re(6): Doesn't matter.
