In terms of computing (one that we do not understand), it would be like cloning a live machine by taking the CPU dye only, or maybe the hard drive. How many parts you need to take away from a computer for it to be the same machine? It's easy though with a VM, or a kernel that supports many hardware. Kind of a digress, but I liked this idea.
I don't think this is a great analogy because computers don't have consciousness (yet).
But I usually move the hard drive (or at least its contents) between machines when I get a new computer, and that's enough for me to think of it as the "same", even if I reinstall the OS on the new machine and just copy my home directory onto the new one.