> What do "real" numbers buy you? They're a powerful abstraction - the base concept of a smooth continuous complete domain which encodes non-trivial relationsh

> What do "real" numbers buy you? They're a powerful abstraction - the base concept of a smooth continuous complete domain which encodes non-trivial relationships, and is a prototype for other analytic abstractions. The reals are the philosophical base class for some very useful mathematical objects. Computability and physicality are both side issues.