I assure you if my arguments look strong it's an illusion! Biologists know their field and they either dismiss things that anger people or they go on a million wild-goose chases. It's no-win. They know this area far better than Taleb and I have to defer to their expertise while accepting that in very rare occasions they'll be wrong.
Looking around the rebuttals[0][1][2] seem pretty non-exceptional. From the looks of it nobody's claiming Wilson's math is incorrect on a technical level, but that it's wrong on a conceptual level. Taleb's mathematical audit may have preemptively refuted a claim nobody was even making.
If Wilson et al. have a better tool it's on them to demonstrate it. Nobody needs to check the math, they just state their better predictions and the community examines them. Sometimes the claimed mathematical tools aren't even as good as the current ones, and then the correctness of the math is moot. FWICT, the biologists are saying they already have better tools and they're declining the offer to downgrade.
I've read them, and I've yet to see anything other than a bunch of people saying "nuh uh! you're wrong!" to paraphrase. They might be smart folks, but the fact that people can't point out obvious mistakes and must simply say "it's not right" is really unfortunate.
In a lot of science there are right and wrong answers and the math (and experiments) make it obvious which is which. Here it seems to be a lot more opinions rather than facts.
Looking around the rebuttals[0][1][2] seem pretty non-exceptional. From the looks of it nobody's claiming Wilson's math is incorrect on a technical level, but that it's wrong on a conceptual level. Taleb's mathematical audit may have preemptively refuted a claim nobody was even making.
If Wilson et al. have a better tool it's on them to demonstrate it. Nobody needs to check the math, they just state their better predictions and the community examines them. Sometimes the claimed mathematical tools aren't even as good as the current ones, and then the correctness of the math is moot. FWICT, the biologists are saying they already have better tools and they're declining the offer to downgrade.
[0] - http://news.sciencemag.org/2011/03/researchers-challenge-e.-... [1] - https://whyevolutionistrue.wordpress.com/2010/08/30/a-misgui... [2] - http://www.evolutionnews.org/2011/05/eo_wilson_disavows_his_... [mathy rebuttal] - http://kinselections.blogspot.com/2013/12/nowak-and-wilson-a...