I read a book once that had this interesting thought experiment. It imagined a machine that could insert thousands of microscopic electrodes into the surface of your brain. Then it would read the electrical impulses in your neurons and copy that information over to a computer. Then instead of just copying it it would start to run the program that would replace the function of those neurons. You could switch back and forth between the computer program for that layer of neurons and your real brain. If there was no difference, then you could hit another button and it would remove those neurons and sink further down into your brain copying and replacing as it went. The interesting thing is that there would be no break in your consciousness in this thought experiment. I wonder if that would affect how people felt about destructively copying your mind over to a computer