Gardner allows that humans have wonderful brains, that we can invent thinking machines, microscopes and any number of intelligence-enhancers, but he says there are still limits, hard limits. Just as “there is no way to teach calculus to a chimp, or even make it understand the square root of 2,” he writes, “surely there are truths as far beyond our grasp as our grasp is beyond that of a cow.” He concedes that once upon a time humans were chimp-like and over time developed brains that cracked the “square root of 2” problem — but that doesn’t faze him. There are properties of our universe so profoundly complex that no sentient mind, no matter how enhanced, will ever understand them fully.