 One might wonder why such classes would qualify as logical objects courtesy of a single immensely powerful postulate (had it been consistent), but would not so qualify if their existence has to be secured in a more piecemeal postulational fashion. But that was the Achilles heel of Russellian logicism. The existential postulation present in Russell’s Multiplicative Axiom (nowadays known as the Axiom of Choice) and in his Axiom of Infinity were seen as marks of the merely mathematical, albeit against the background of a much more capacious universe of abstract objects than just the natural numbers or the real numbers themselves. 