Antifragility is an attribute of systems that benefit from volatility. While our fiat economic system is fragile, meaning that if something breaks the whole thing gets bad, an antifragile system is something that when things break, the system gets stronger.
Bitcoin is such a system. The market peak of 30 dollar in 2011 came about because a politician was trying to take down the Bitcoin system, and the bitcoin system took off like a rocket. The more harm people try to do to Bitcoin, the better off the system is.
Here's a few videos to explain more, with Taleb:
http://www.youtube.com/watch?v=7IpTpjhVo7Ihttp://www.youtube.com/watch?v=k4MhC5tcEv0Enjoy