An interesting article but I can't help but feel the author is a little confused. He seems to think his ideas are unorthodox however he's just going over a lot

An interesting article but I can't help but feel the author is a little confused. He seems to think his ideas are unorthodox however he's just going over a lot of old ground covered by Cantor etc. If Steve wants to count the grains inside a circle drawn on the sand, and call that the area, then that's fine. But it's not very interesting. The rest of us will continue to define the circle as the set of points satisfying x² + y² = r² (or any manner of other equivalent definitions) and Steve can count sand to arrive at a finite pi, and call us wrong. That's fine by me, since we are talking about different things. I'm not going to call him a heretic for it.