Nice piece meant for one to pause and think a little bit about limitation of mathematics and our perception of reality. There, however, I would submit that I find the mixture of several limitations too confusing to even allow (in my view) the question the article outlines to be a valid one. First, our perception limitation (that is a multi-level problem, going from personal all the way to entire species). Im not sure at which level the author wants to start and stop. Second, limitations of mathematics explaining physical phenomena as we perceive them and can measure them. Third, mathematical models are not the reality and never have been considered to represent reality as is. They are necessary abstractions for us to have our linear and local time predictability.<p>I would further submit for a thought that as of right now there is nothing we understand from first principles using mathematical models. This is not a conjecture or speculation, but a fact. See eg. Wheeler's "More is different", ("More is really different" by another author), or R. Laughlin's book Different Universe which with simple logic shows physical laws cannot be build from first principles, because, well, "more is different" (emergent phenomena acquire characteristics not in the original constituents). Lets think about weather, clima, planet formation, galaxy evolution, economics, etc ... It would be foolish to even begin such enterprise...(imho). But, in any case this is issue is not to be closed for discussion and interpretations and learning...that I agree with the author.