You might say that consciousnessis is not just snapshot and never is. It exists in all time and is therefore neccessarily malleable.
So you can get rid of your ideas but you still have the consciousness that created/acquired/decided on the ideas in the first place. The consciousness comes before the ideas, so it's really not a big deal to lose the ideas.
I guess the straight answer is that you're left with a mind/spirit/body without any ideas

A baby human is probably pretty close to this.