A man without eyes sees plums on a tree. He neither takes plums nor leaves plums. How can this be?

If you can leave any useful but not too obvious hints to this problem please do but put any hints or answers in spoiler boxers. If you solve this well done and feel free to post any more logic problems you might have! please this is driving my entire family (and friends) crazy!!!
:mad:

You have three lights in a box, each of which is connected to a switch outside the box. The box is closed. You need to figure out which switch to corresponds to which light and you can open the box only once (and you can’t manipulate the switches after you open the box). How do you do this?

A man died and went to Heaven. There were thousands of other people there. They were all naked and all looked as they did at the age of 21. He looked around to see if there was anyone he recognized. He saw a couple and he knew immediately that they were Adam and Eve. How did he know?

Turn two lights on and leave them on for a few minutes. Now turn one off. Open the box. Feel the unlit bulbs. The cold & unlit bulb is the switch you never threw. The hot & unlit bulb is the one turned on and then off. You can figure out the rest.

You know the old one about how a person exits her cabin, she walks one mile south, one mile east, and one mile north, returning her to her starting point. She sees a bear. What color is it?White; she’s at the north pole.
Well, there is more than one place on earth where one can walk one mile south, one mile east, and one mile north and return to her starting point. Where else is this possible. The answer does not depend on geographical anomolies–assume the earth is a smooth sphere.

In fact, js-africanus, the number of places where you can do such a thing are infinite. Further, they are infinitely infinite.

How so?

[spoiler] Find the latitude circle which is exactly 1 mile around just north of the south pole. Stand anywhere on it and then go north 1 mile. This is your starting point. If you walk one mile south, you are on the circle which is exactly 1 mile around. Go east one mile and now if you go north 1 mile you end up where you started. Clearly you can start at an infinite number of places north of the 1 mile circle.

Not only can you do this for the 1 mile latitude line, you can do this for the 1/2 mile one (you will simply walk around the circle twice) and the 1/4 mile one, etc. Again, there are an infinite number of these. And for each one of these circles there are an infinite number of starting points. [/spoiler]