Here’s a quick hit from Ars Technica (John Timmer):
So, we’ve reached a point where math can’t answer many questions in biology, but the most promising path for advancing physics (string theory) remains trapped in the realm of pure math. Is this a cue for panic? Maybe not, as illustrated in an exchange between two panelists: “You’re not upset because you’re not a mathematician,” Chaitin told Livio, “you don’t care because you’re a physicist.”
“We know there’s problems with quantum mechanics, but has that stopped anything?” Livio countered.
It’s not just quantum mechanics. Biology may have resisted easy quantification, but it has hardly slowed the field down. If math turns out to be just a tool (and a tool with some substantial limits), that may disappoint mathematicians, but it won’t necessarily slow down our ability to understand and model the natural world. This may be my background as a scientist talking, but that seems like the most important consideration, and I’m willing to live with a community of disappointed mathematicians in order to get there.