The evidence claims that so far, there hasn't been an increase in monetary cost of natural disasters relative to GDP. I'll let other, more informed people tackle this factual issue.* My problem is purely based on faulty logic; at the end of the article, the author extrapolates that this trend of disaster damage being correlated with and caused by increases in GDP will continue indefinitely. But the only evidence cited for the conclusion that climate change won't ever cause increased natural disasters actually says that US tropical cyclones won't significantly increase in frequency and severity for several decades; I found nothing about winter storms/polar vortex, crop loss due to drought, sea level rise, etc. and I'm not even sure how accurately you can extrapolate to tropical cycles in other places, not to mention many of us hope to still be around in several decades. I appreciate that Nate Silver is a great statistician, but this is going to go downhill really quick if the conclusions of articles posted on his site are only tangentially related to the actual statistics.
*The other disappointing thing is that the author has claimed this before, has been refuted, and hasn't changed his argument even so much as to mention the points made by various people who had rebuttals.