Some day, someone will come up with an equation that accurately defines the tipping point between our natural laziness and williness to give up personal privacy to relieve some of it. I don't think today is that day.
Years ago, I wrote about a robot that you could teleoperate from anywhere in the world over WiFi. We tried it in our offices, and I even ran it around my home, where it freaked out my family. Back then, we didn't think too much about the privacy implications because it was me, not a third party, navigating the robot and seeing what it could see.
