In my mind this comes down to a fundamental question in the philosophy of math. Do we create theorems or discover them?

If it turns out to be 'discovery' then there is no foul in ending a mind emulation, because each consecutive state can be seen as a theorem in some formal system, and thus all states (the entire future time line of the mind) already exists, even if undiscovered.

Personally I fail to see how encoding something in physical matter makes the pattern anymore real. You can kill every mathematician and burn every text book but I would still say that the theorems then inaccessible to humanity still exist. I'm not so convinced of this fact that I would pull the plug on an emulation though.