Dividing by 0 yields a contradiction. Remember that any number divided by itself is 1. Now, 0 can be the numerator of a rational number - which of course designates 0. If 0 can also be the denominator, then 0/0 must = 1. In a sense we would be saying that nothing equals something, which is only true in government. I suspect that there is a whole lot more to the mathematics than is revealed in the story.
I don't think there's much to the "mathematics" of renamed infinity (nullity) at all. If you hit the link to the story and watch the video of the guy explaining it, he is clearly a doofus, and his "proof" is nonsensical.
LOL