When talking about the third dimension in an image, it is referring to the depth, as 2d is height and width. There is obviously no way of giving depth to the image literally, unless it's a hologram, so we have to use tricks to give the perception of depth.
All of today's technology relies on a sort of animation to fool the eyes, showing one image to the left eye, followed with the image for the right. Whether it is done with glasses that alternate the lens you can view out of in time to left and right images on the screen, or the screen directing the image to one eye, then the other eye very fast like on a gameboy 3d, you will always need technology of some sort to view the image in 3d. you will have to choose how you want to view it.
In the real world, when looking at things in the background, our eyes focus on the bit in the background. Unfortunately all of today's 3d tech causes our eyes to focus on the screen, even when trying to look at the background, meaning you are almost guaranteed to strain your eyes by watching it for too long. (THEY are saying about 4 hours a day will be too long)
I can't watch any of them anyway, because I can only see out of one eye, everything looks 2d to me anyway. Don't worry about me though, just when THEY think everyone is watching 3d tv, THEY will bring out holographic TV's, which are not as far off from being put on shelves as you would think.