The mind exists outside of our physical body.
Most cognitive scientists and philosophers of the mind would disagree with you, here.
Most? I'd say it's the other way around... Since the mind cannot be found inside our bodies, where would you assume it to be?
I like to use the example of a television set. When you turn it on, you may see a person talking in it. But is that person really there? Not at all. That image you see is just an emergent property of a bunch of electrodes and light. The same is true of the mind.
Ummm... I see it differently... The image you see on the screen is physically there on your picture tube whether it's the result of electrodes and light or not... You can look at the picture and describe it to someone else who can confirm the picture... You cannot look at the mind and describe it for another observer... In fact, no one has ever looked at a mind from the outside.
Notice, that this "emergent property" theory of the TV explains why the images of this person cease when electricity is cut off to the electrodes. Similarly, dualism does not explain why the physical brain is so bound up with our consciousness, and why "turning off" the brain effectively removes any evidence of consciousness whatsoever.
Actually, this isn't totally true... The image can stay on the screen somewhat (especially if you remember the old TVs)... That's why I believe we have screen savers on our monitors.
Turning off the brain ensures we can't recieve signals from our minds but doesn't necessarily mean that the mind is also "turned off".
The cable can still run even if there isn't a TV to run through.