The problem I have with this article is that the author tries to poke holes in mathematics by using "real-world" examples, but fails to note that mathematics is an idealization of the real world. We use mathematics to describe the big picture of what's going on, not to tell exactly what's happening. That's the job of simulations, which (surprise!) employ mathematics that describe a smaller scale to build the larger scale. The real world is very much described by math.