It's not just that she used the Grandi's series, along with paradoxes regarding functions Euler treated in the eighteenth century. What troubled me the most is that she used negatives. I didn't teach negatives. I had been struggling for a month to make them grasp the concept of natural numbers and here, in front of me, I had a ten year old who was manipulating the concept of 'infinities' with a robustness that would make the entire Department of Physics at Courant s**t their pants. 'What's wrong, teacher?', I heard mini-wrestler ask. 'Nothing is wrong. That's the thing. It's right.' 'So what do we write as true on our papers? That 'n' thing or minus...one on top of twelve? 'Both. We write them both.' I stood there for a while and let the raindrops hitting the windows do the talking,

