Continuity is the mathematics of calculus and physics but there's never been a theory of computation that deals with this continuum. That's what we've developed. Our book is going to be important because it's the first to outline this new direction. In high school you think that if you're smart enough you can eventually solve any problem. It turns out that's not true.
Some problems intrinsically are unsolvable.
In our theory of computation we're looking at new techniques for understanding the complexity of problems. There hasn't been a formal theory of continuous complexity before and I think we're starting to get one. Discrete mathematics is the mathematics behind theoretical computer science. But the syllabus for Discrete Math II wasn't very interesting. I tried to come up with something that would make the class more interesting.