Using Taleb's nomenclature, let it crash is not anti-fragile at run time. Erlang does not get progressively better at holding your code together the longer it crashes. It is only resilient and robust. Which is ahead of a lot of environments, but that's all.
Many software development processes considered as a whole are anti-fragile... mine certainly is, which is a great deal of why I love automated testing so much (I often phrase it as "it gives me monotonic forward progress" but "it gives me antifragility" is a reasonably close spin on it too)... but that's not unique to Erlang nor does Erlang have anything special to help with it as everything Erlang has for robustness is focused at run time. You can have anti-fragile development processes with any language. (The fact that I successfully left Erlang for another language entirely is also testament to that. I had to replace Erlang's robustness but I didn't have to replace its anti-fragility, since it didn't have it particularly.)
Anti fragility is just a fancy name for 'ability to learn'. Erlang error handling philosophy enables learning by keeping thing simple and transparent. It's easy to see some component keeps failing, it doesn't bring your whole app down and you can look into it and improve it. Adding tonnes of third party machinery may be robust or even resilient, but if it makes things more opaque or demands bigger teams of deeper specialists, it precludes learning. Thus is not 'anti fragile'. You can keep your ability to learn healthy without Erlang, and you can use it without learning much over time.
Many software development processes considered as a whole are anti-fragile... mine certainly is, which is a great deal of why I love automated testing so much (I often phrase it as "it gives me monotonic forward progress" but "it gives me antifragility" is a reasonably close spin on it too)... but that's not unique to Erlang nor does Erlang have anything special to help with it as everything Erlang has for robustness is focused at run time. You can have anti-fragile development processes with any language. (The fact that I successfully left Erlang for another language entirely is also testament to that. I had to replace Erlang's robustness but I didn't have to replace its anti-fragility, since it didn't have it particularly.)