> What about making the object borrow from the closure?
That doesn't actually guarantee that the closure will outlive the object. You would need linear types in order to do that, and Rust does not have linear types.
In the particular API I'm working with, you pass the closure in to an object when you create it, and you have to make sure that the closure outlives the object. The only way to do that within the Rust type system is by making the closure 'static, which is... less than ideal. So you use unsafe{} instead.
This is because any object may outlive its specified lifetime. Lifetimes are only lower bounds. So if I have lifetimes 'b and 'a, and 'b : 'a, this only means that the LIFETIME 'b must be at least as long as the LIFETIME 'a, but any particular object with lifetime 'b may live arbitrarily long, as long as it lasts at least as long as 'b. And any object which is 'a may last arbitrarily long, but at least as long as 'a.