Hal writes: > You are writing programs and they have a complexity. Chaitin limits this > complexity to no more than the complexity of the FAS plus a constant. Thus > there can not be an infinite number of such constructions.
This is not quite right. Chatin limits how much complexity these programs can be *proven* to have using the FAS. The FAS is unable to show that an object has more complexity than what is in the FAS itself (plus a constant). That doesn't mean that the objects are limited in complexity, but rather that the FAS is limited in how much complexity it can prove. Hal (the other Hal)

